Noncommutative Field Theory

Abstract

We review the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory, and to describe quantum Hall states. In the last few years they have been studied intensively, and many qualitatively new phenomena have been discovered, both on the classical and quantum level. To appear in Reviews of Modern Physics.

Revtex, 56 pp, 6 figures. Final version

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• D-brane field theory on compact spaces
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• Magnetic fields, branes and noncommutative geometry
• Non-Commutative Yang-Mills and the AdS/CFT Correspondence
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• A brief review of "little string theories"
• Wilson Loops in Noncommutative Yang Mills
• The Quantum Hall Fluid and Non-Commutative Chern Simons Theory
• D-branes, Monopoles and Nahm Equations
• Morita equivalence and duality
• Comments on Noncommutative Perturbative Dynamics
• Proposals on nonperturbative superstring interactions
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• The Dynamics of Relativistic Membranes I: Reduction to 2-dimensional Fluid Dynamics
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• Signals for Non-Commutative Interactions at Linear Colliders
• A Note on Background Independence in Noncommutative Gauge Theories, Matrix Model and Tachyon Condensation
• Solitons in Noncommutative Gauge Theory
• D-branes and Discrete Torsion II
• OM Theory in Diverse Dimensions
• Remarks on Inflation and Noncommutative Geometry
• Comments on Perturbative Dynamics of Non-Commutative Yang-Mills Theory
• Nonperturbative Dynamics of Noncommutative Gauge Theory
• String Duality--A Colloquium
• Half-strings, Projectors, and Multiple D-branes in Vacuum String Field Theory
• Renormalization of Quantum Field Theories on Noncommutative R^d, I. Scalars
• Komaba Lectures on Noncommutative Solitons and D-Branes
• Flux tube solutions in noncommutative gauge theories
• Split string field theory I
• Dynamics of Strings in Noncommutative Gauge Theory
• Noncommutative Tachyons And String Field Theory
• Gauge-fixing independence of IR divergences in non-commutative U(1), perturbative tachyonic instabilities and supersymmetry
• Noncommutative gauge theory for Poisson manifolds
• Noncommutative SO(n) and Sp(n) Gauge Theories
• Chiral Gauge Anomalies on Noncommutative R^4
• Open Strings in a B-field Background as Electric Dipoles
• Hamiltonian Formalism for Space-time Non-commutative Theories
• Exact Solutions of Multi-Vortices and False Vacuum Bubbles in Noncommutative Abelian-Higgs Theories
• An Exact Solution to Seiberg-Witten Equation of Noncommutative Gauge Theory
• Trieste lectures on solitons in noncommutative gauge theories
• *-Trek II: *_n Operations, Open Wilson Lines and the Seiberg-Witten Map
• Noncommutative Tachyons and K-Theory
• Nielsen-Olesen Vortices in Noncommutative Abelian Higgs Model
• Open Wilson Lines in Noncommutative Gauge Theory and Tomography of Holographic Dual Supergravity
• A Consistent Noncommutative Field Theory: the Wess-Zumino Model
• Noncommutative Vortex Solitons
• Noncommutative Gauge Theories in Matrix Theory
• Target space symmetries in topological theories I
• D-Brane Realization of N=2 Super Yang-Mills Theory in Four Dimensions
• Noncommutative Geometry and D-Branes
• Generalized *-Products, Wilson Lines and the Solution of the Seiberg-Witten Equations
• How Noncommutative Gauge Theories Couple to Gravity
• *-TREK: The One-Loop N=4 Noncommutative SYM Action
• Evidence for Winding States in Noncommutative Quantum Field Theory
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• Noncommutative Gauge Dynamics From The String Worldsheet
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• Non-Commutative Geometry on a Discrete Periodic Lattice and Gauge Theory
• Gauge Bundles and Born-Infeld on the Noncommutative Torus
• Non-commutative world-volume interactions on D-brane and Dirac-Born-Infeld action
• A note on consistent anomalies in noncommutative YM theories
• Wilsonian Renormalization Group and the Non-Commutative IR/UV Connection
• On the ultraviolet behaviour of quantum fields over noncommutative manifolds
• Noncommutativity in Space and Primordial Magnetic Field
• Spacetime and Fields, a Quantum Texture
• Topological Charge of U(1) Instantons
• Instability of Non-Commutative SYM Theories at Finite Temperature
• Noncommutative $\mathcal{N}=1,2$ super U(N) Yang-Mills: UV/IR mixing and effective action results at one loop
• Towards Finite Quantum Field Theory in Non-Commutative Geometry
• Compton scattering in Noncommutative Space-Time at the NLC
• The Hagedorn transition in non-commutative open string theory
• Diagrams of Noncommutative Phi-Three Theory from String Theory
• Comments on the Energy-Momentum Tensor in Non-Commutative Field Theories
• Tachyon Condensation on Noncommutative Torus
• String field theory at large B-field and noncommutative geometry
• BPS states on noncommutative tori and duality
• On Exact Noncommutative BPS Solitons
• Critical fields on the M5-brane and noncommutative open strings
• Signatures of Non-commutative QED at Photon Colliders
• The CP(n) Model on Noncommutative Plane
• Exact Results in Noncommutative $\mathcal{N}=2$ Supersymmetric Gauge Theories
• Non-commutative Soliton Scattering
• The Noncommutative Supersymmetric Nonlinear Sigma Model
• Traveling Faster than the Speed of Light in Non-Commutative Geometry
• Holography and Noncommutative Yang-Mills
• Noncommutative Solitons on Orbifolds
• On the unitarity of quantum gauge theories on non-commutative spaces
• Wess-Zumino-Witten and fermion models in noncommutative space
• String Theory and Noncommutative Field Theories at One Loop
• Observables of Non-Commutative Gauge Theories
• Two Lectures on D-Geometry and Noncommutative Geometry
• Noncommutative perturbation in superspace
• Questions on quantization
• Holographic Noncommutativity
• The energy-momentum tensor on noncommutative spaces - some pedagogical comments
• The one-loop effective action of noncommutative {\cal N}=4 super Yang-Mills is gauge invariant
• The Higgs Mechanism in Non-commutative Gauge Theories
• Non-commutative geometry as a realization of varying speed of light cosmology
• On Open String Sigma-Model and Noncommutative Gauge Fields
• Wilson loops in strongly coupled noncommutative gauge theories
• On the stringy nature of winding modes in noncommutative thermal field theories
• D3-brane Holography
• UV/IR Mixing in Noncommutative Field Theory via Open String Loops
• D-brane Physics and Noncommutative Yang-Mills Theory
• Energy-momentum Tensors in Matrix Theory and in Noncommutative Gauge Theories
• Les Houches Lectures on Fields, Strings and Duality
• Nielsen-Olesen vortices in noncommutative space
• Noncommutative scalar solitons: existence and nonexistence
• Superstring Dualities, Dirichlet Branes and the Small Scale Structure of Space
• Fluxons and Exact BPS Solitons in Non-Commutative Gauge Theory
• A Note on the BPS Spectrum of the Matrix Model
• Hard Non-commutative Loops Resummation
• Compactification of M(atrix) theory on noncommutative toroidal orbifolds
• Running couplings and triviality of field theories on non-commutative spaces
• Non-commutative Gross-Neveu model at large N
• Strong Coupling Effects in non-commutative spaces from OM Theory and supergravity
• Noncommutative Linear Sigma Models
• On Field Theory of Open Strings, Tachyon Condensation and Closed Strings
• Space-Time Uncertainty and Noncommutativity in String Theory
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• Noncommutative Gauge Theories from Deformation Quantization
• Topics in Lorentz and CPT Violation
• Comments on Born-Infeld Theory
• On Critical Phenomena in a Noncommutative Space
• Phenomenological Consequences of Non-commutative QED
• Noncommutative Solitons and Intersecting D-Branes
• Quantum Corrections to Noncommutative Solitons
• A Note on Intersecting and Fluctuating Solitons in 4D Noncommutative Field Theory
• On the Structure of Noncommutative N=2 Super Yang-Mills Theory
• An Introduction to Noncommutative Geometry
• Correlation functions in the non-commutative Wess-Zumino-Witten model
• Morita equivalence of multidimensional noncommutative tori

Cited by in corpus (1390)

• Extremely high-intensity laser interactions with fundamental quantum systems
• Quantum Field Theory on Noncommutative Spaces
• Modern tests of Lorentz invariance
• Minimal Length Scale Scenarios for Quantum Gravity
• Quantum Spacetime Phenomenology
• Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
• Exact Solution of the Harmonic Oscillator in Arbitrary Dimensions with Minimal Length Uncertainty Relations
• The Effect of the Minimal Length Uncertainty Relation on the Density of States and the Cosmological Constant Problem
• SU(N) gauge theories at large N
• Doubly-Special Relativity: First Results and Key Open Problems
• Fundamentals of the Exact Renormalization Group
• New concept of relativistic invariance in NC space-time: twisted Poincaré symmetry and its implications
• Introduction to M(atrix) theory and noncommutative geometry
• Introduction to M(atrix) theory and noncommutative geometry, Part II
• Emergent spacetime and empirical (in)coherence
• Short Distance vs. Long Distance Physics: The Classical Limit of the Minimal Length Uncertainty Relation
• Emergent Geometry and Gravity from Matrix Models: an Introduction
• Non-commutative space-time of Doubly Special Relativity theories
• Hawking Radiation as Quantum Tunneling from Noncommutative Schwarzschild Black Hole
• Noncommutative Superspace, N=1/2 Supersymmetry, Field Theory and String Theory
• Noncommutative Quantum Mechanics from Noncommutative Quantum Field Theory
• Spin half fermions with mass dimension one: theory, phenomenology, and dark matter
• Duality in Scalar Field Theory on Noncommutative Phase Spaces
• UV divergence-free QFT on noncommutative plane
• Dark matter: A spin one half fermion field with mass dimension one?
• Review on Generalized Uncertainty Principle
• Symmetry, Gravity and Noncommutativity
• General Properties of Noncommutative Field Theories
• Uncertainty Relation on World Crystal and its Applications to Micro Black Holes
• Vanishing of Beta Function of Non Commutative ${\Phi }_4^4$ Theory to all orders
• Noncommutative Quantum Cosmology
• Deformed Field Theory on kappa-spacetime
• Deformations of Superconformal Theories
• Kappa-Minkowski space-time and the star product realizations
• New realizations of Lie algebra kappa-deformed Euclidean space
• Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory
• Quantized Gauge Theory on the Fuzzy Sphere as Random Matrix Model
• Emergent Gravity from Noncommutative Gauge Theory
• Noncommutative Field Theories and Gravity
• Fractional Angular Momentum in Noncommutative Space
• Noncommutative Inspired Black Holes in Extra Dimensions
• Exact Solution of Quantum Field Theory on Noncommutative Phase Spaces
• Cosmological perturbations and short distance physics from Noncommutative Geometry
• Ghost-free infinite derivative quantum field theory
• Dynamics with Infinitely Many Derivatives: The Initial Value Problem
• Noncommutative Induced Gauge Theory
• Scaling Limits of the Fuzzy Sphere at one Loop
• Topological Graph Polynomials in Colored Group Field Theory
• Twisted Statistics in kappa-Minkowski Spacetime
• Emergent Spacetime
• Coherent State Induced Star-Product on $R_{\lambda }^3$ and the Fuzzy Sphere
• Renormalization of Non-Commutative Phi^4_4 Field Theory in x Space
• Self-consistency in Theories with a Minimal Length
• Isotropic representation of noncommutative 2D harmonic oscillator
• Deformed Special Relativity and Deformed Symmetries in a Canonical Framework
• Comments on noncommutative gravity
• Minimal Length Uncertainty Relation and the Hydrogen Spectrum
• Non-commutative Renormalization
• Classical and quantum mechanics of the nonrelativistic Snyder model
• Noncommutative Geometry and Cosmology
• Scaling behaviour of three-dimensional group field theory
• Improved limit on quantum-spacetime modifications of Lorentz symmetry from observations of gamma-ray blazars
• The photon-neutrino interaction in non-commutative gauge field theory and astrophysical bounds
• New Approach to Nonperturbative Quantum Mechanics with Minimal Length Uncertainty
• Formulation, Interpretation and Application of non-Commutative Quantum Mechanics
• Parameterized Post-Einsteinian Gravitational Waveforms in Various Modified Theories of Gravity
• Entropic force, noncommutative gravity and ungravity
• Non-commutative Oscillators and the commutative limit
• Spectrum of Schroedinger field in a noncommutative magnetic monopole
• Testing Spatial Noncommutativity via Rydberg Atoms
• Lorentz Violating Supersymmetric Quantum Electrodynamics
• Noncommutative Gravity
• Covariant realizations of kappa-deformed space
• Non-renormalizability of θ-expanded noncommutative QED
• Phenomenology of Doubly Special Relativity
• On "full" twisted Poincare' symmetry and QFT on Moyal-Weyl spaces
• Emergent Gravity from Noncommutative Spacetime
• Topics in Noncommutative Geometry Inspired Physics
• The Tensor Track, III
• Deformed Oscillator Algebras and QFT in $\kappa$-Minkowski Spacetime
• Fock space, quantum fields and kappa-Poincaré symmetries
• Effective field theory description of the higher dimensional quantum Hall liquid
• Physics on Smallest Scales - An Introduction to Minimal Length Phenomenology
• kappa-Minkowski spacetime as the result of Jordanian twist deformation
• Parikh-Wilczek Tunneling from Noncommutative Higher Dimensional Black Holes
• Gauge theories on the kappa-Minkowski spacetime
• Large $N$ reduction with the Twisted Eguchi-Kawai model
• Dual families of non-commutative quantum systems
• Emergent Gravity and Noncommutative Branes from Yang-Mills Matrix Models
• Towards Noncommutative Integrable Systems
• UV/IR Mixing via Closed Strings and Tachyonic Instabilities
• Exact Seiberg-Witten Map, Induced Gravity and Topological Invariants in Noncommutative Field Theories
• Minimal Length and Bouncing Particle Spectrum
• Towards LHC Physics with Non-local Standard Model
• Scalar Field Theory on Non-commutative Snyder Space-Time
• The Meaning of Infrared Singularities in Noncommutative Gauge Theories
• Casimir Effect in the Presence of Minimal Lengths
• Quantum Black Hole in the Generalized Uncertainty Principle Framework
• A comparative review of four formulations of noncommutative quantum mechanics
• Quantum Hall Effect in Higher Dimensions, Matrix Models and Fuzzy Geometry
• Generalized Uncertainty Principle, Modified Dispersion Relations and Early Universe Thermodynamics
• Chern-Simons-Matter Theory
• The singular geometry of the sliver
• Noncommutative Self-dual Gravity
• Noncommutative quantum mechanics and the Aharonov-Casher effect
• Supersymmetry in noncommutative superspaces
• Uncovering conformal symmetry in the $3D$ Ising transition: State-operator correspondence from a fuzzy sphere regularization
• Constructive ${\varphi }^4$ field theory without tears
• Non-relativistic anyons, exotic Galilean symmetry and noncommutative plane
• Wedge-Local Quantum Fields and Noncommutative Minkowski Space
• A Non-Perturbative Study of Gauge Theory on a Non-Commutative Plane
• Hopf-algebra description of noncommutative-spacetime symmetries
• Vacuum configurations for renormalizable non-commutative scalar models
• Infinitely many star products to play with
• Modification of Heisenberg uncertainty relations in non-commutative Snyder space-time geometry
• Shadow of a Charged Rotating Non-Commutative Black Hole
• Representation of noncommutative phase space
• Nonlinear Bosonization of Fermi Surfaces: The Method of Coadjoint Orbits
• Schwinger type processes via branes and their gravity duals
• The spectral action for Moyal planes
• Modified dispersion relations in extra dimensions
• Lectures on Branes in Curved Backgrounds
• Neutron Star Mergers and How to Study Them
• Noncommutative field theory and violation of translation invariance
• Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation
• Three Dimensional Quantum Geometry and Deformed Poincare Symmetry
• Sigma models on quantum computers
• The chiral Hall effect of magnetic skyrmions from a cyclic cohomology approach
• Two and Three Loops Beta Function of Non Commutative ${\Phi }_4^4$ Theory
• Path integral action of a particle in the non commutative plane
• Strict Limit on CPT Violation from Polarization of Gamma-Ray Bursts
• Phase-Space Noncommutativity and the Dirac Equation
• Position-dependent noncommutativity in quantum mechanics
• A Lagrangian for DSR Particle and the Role of Noncommutativity
• Supersymmetric Noncommutative QED and Lorentz Violation
• The Minimal Length and Large Extra Dimensions
• Hawking emission from quantum gravity black holes
• Spontaneous Lorentz Violation and the Long-Range Gravitational Preferred-Frame Effect
• Constraining non-commutative space-time from GW150914
• On the Problem of Renormalizability in Non-Commutative Gauge Field Models - A Critical Review
• Chiral non-Fermi Liquids
• Twisted Noncommutative Field Theory with the Wick-Voros and Moyal Products
• Covariant Non-Commutative Space-Time
• Quantum Gravity, Field Theory and Signatures of Noncommutative Spacetime
• Parametric Representation of Noncommutative Field Theory
• Cohomological gauge theory, quiver matrix models and Donaldson-Thomas theory
• New bounds for Tsallis parameter in a noncommutative phase-space entropic gravity and nonextensive Friedmann equations
• Open String Star as a Continuous Moyal Product
• Noncommutative 3D harmonic oscillator
• Neutrino oscillations as a novel probe for a minimal length
• Covariant particle statistics and intertwiners of the kappa-deformed Poincare algebra
• Noncommutative geometry inspired black holes in higher dimensions at the LHC
• Double Field Theory and Membrane Sigma-Models
• Noncommutative field theory with the Wick-Voros product
• A New Formulation of the Initial Value Problem for Nonlocal Theories
• Noncommutative Gravity in two Dimensions
• Remarks on the Noncommutative Gravitational Quantum Well
• Numerical simulations of a non-commutative theory: the scalar model on the fuzzy sphere
• Magnetic fields in noncommutative quantum mechanics
• Non-anticommutative chiral singlet deformation of N=(1,1) gauge theory
• Celestial chiral algebras, colour-kinematics duality and integrability
• Fractional and noncommutative spacetimes
• Non-commutative heat kernel
• Exact Solution of Noncommutative Field Theory in Background Magnetic Fields
• Holographic entanglement entropy probes (non)locality
• Dilaton Cosmology, Noncommutativity and Generalized Uncertainty Principle
• Local effects of the quantum vacuum in Lorentz-violating electrodynamics
• Exact Seiberg-Witten Map and Induced Gravity from Noncommutativity
• M-Theory on Deformed Superspace
• Bianchi spacetimes in noncommutative phase-space
• Magnetic Backgrounds and Noncommutative Field Theory
• Non-Commutativity and Unitarity Violation in Gauge Boson Scattering
• Noncommutative field theory on ${\mathbb{R}}_{\lambda }^3$
• Remarks on nonlinear Electrodynamics
• Noncommutative Quantum Mechanics and Seiberg-Witten Map
• Finite Field-Energy and Interparticle Potential in Logarithmic Electrodynamics
• Integrable Noncommutative Sine-Gordon Model
• Simulation of a scalar field on a fuzzy sphere
• Translation-invariant models for non-commutative gauge fields
• One-Loop Calculations for a Translation Invariant Non-Commutative Gauge Model
• On the vacuum states for noncommutative gauge theory
• Soliton-Antisoliton Scattering Configurations in a Noncommutative Sigma Model in 2+1 Dimensions
• Generalized kappa-deformed spaces, star-products, and their realizations
• Quiver Gauge Theory of Nonabelian Vortices and Noncommutative Instantons in Higher Dimensions
• On The Correspondence Between Noncommuative Field Theory And Gravity
• Thermodynamics of an Evaporating Schwarzschild Black Hole in Noncommutative Space
• The Noncommutative Anandan's Quantum Phase
• Noncommutative Dirac oscillator in an external magnetic field
• Noncommutative Integrable Field Theories in 2d
• Covariant cosmological quantum space-time, higher-spin and gravity in the IKKT matrix model
• Noncommutative Topological Theories of Gravity
• Renormalization of the noncommutative phi^3 model through the Kontsevich model
• Nonassociative geometry in quasi-Hopf representation categories I: Bimodules and their internal homomorphisms
• Representations of noncommutative quantum mechanics and symmetries
• Noncommutative oscillator, symmetry and Landau problem
• Phenomenology of Particle Production and Propagation in String-Motivated Canonical Noncommutative Spacetime
• Noncommutative field theories on $R_{\lambda }^3$: Towards UV/IR mixing freedom
• What are the Bounds on Space-Time Noncommutativity?
• Computing in String Field Theory Using the Moyal Star Product
• A noncommutative approach to the cosmological constant problem
• Generalized uncertainty principle in Bianchi type I quantum cosmology
• $\kappa$-Minkowski Spacetime Through Exotic "Oscillator"
• Noncommutative Quantum Field Theories
• Noncommutative Chiral Gauge Theories on the Lattice with Manifest Star-Gauge Invariance
• Noncommutativity in a Time-Dependent Background
• Thermodynamics and Cosmological Constant of Non-Local Field Theories from p-Adic Strings
• Space-time symmetry of noncommutative field theory
• Noncommutative Conformally Coupled Scalar Field Cosmology and its Commutative Counterpart
• Quantum noncommutative gravity in two dimensions
• Vacuum Birefringence as a Probe of Planck Scale Noncommutativity
• Cosmological Constant from a Deformation of the Wheeler-DeWitt Equation
• Constraining Lorentz invariance violation using the Crab Pulsar emission observed up to TeV energies by MAGIC
• Noncommutative Burgers Equation
• Noncommutative Solitons and D-branes
• Emergent Spacetime and The Origin of Gravity
• Non-Commutative U(1) Gauge Theory on R**4 with Oscillator Term and BRST Symmetry
• Towards an Axiomatic Formulation of Noncommutative Quantum Field Theory
• Closed Strings Tachyons and Non-Commutative Instabilities
• Noncommutative quantum mechanics of a harmonic oscillator under linearized gravitational waves
• Nonabelian Phenomena on D-branes
• PT-symmetric noncommutative spaces with minimal volume uncertainty relations
• Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative Vortices
• Cosmic Rays and the Search for a Lorentz Invariance Violation
• Gravitational non-commutativity and Gödel-like spacetimes
• Superstatistics approach to path integral for a relativistic particle
• Drinfeld-Twisted Supersymmetry and Non-Anticommutative Superspace
• Overview of the parametric representation of renormalizable non-commutative field theory
• Quantum Mechanics on Noncommutative Spacetime
• Abelian and nonabelian vector field effective actions from string field theory
• Non-Commutative Geometry and Twisted Conformal Symmetry
• From Moyal deformations to chiral higher-spin theories and to celestial algebras
• Late time acceleration in a deformed phase space model of dilaton cosmology
• Probing phase-space noncommutativity through quantum beating, missing information and the thermodynamic limit
• Supersonic Velocities in Noncommutative Acoustic Black Holes
• Space-Time Symmetries of Noncommutative Spaces
• Intrinsic non-commutativity of closed string theory
• Energy-dependent noncommutative quantum mechanics
• Perturbative Instabilities on the Non-Commutative Torus, Morita Duality and Twisted Boundary Conditions
• Parametric representation of "critical" noncommutative QFT models
• Nonuniform symmetry breaking in noncommutative $\lambda {\Phi }^4$ theory
• Adding flavor to the gravity dual of non-commutative gauge theories
• Noncommutativity due to spin
• Towards a Noncommutative Astrophysics
• Noncommutative Graphene
• Effective Field Theories on Non-Commutative Space-Time
• The fuzzy 4-hyperboloid $H_n^4$ and higher-spin in Yang-Mills matrix models
• Duality symmetry for star products
• Minimal Length Effects on Quantum Cosmology and Quantum Black Hole Models
• Monte Carlo Simulation of a NC Gauge Theory on The Fuzzy Sphere
• Harmonic oscillator in a background magnetic field in noncommutative quantum phase-space
• Landau Analog Levels for Dipoles in the Noncommutative Space and Phase Space
• Noncommutative Extended Waves and Soliton-like Configurations in N=2 String Theory
• Strings from position-dependent noncommutativity
• Noncommutative Ward's Conjecture and Integrable Systems
• Seiberg-Witten maps from the point of view of consistent deformations of gauge theories
• Constraining noncommutative field theories with holography
• Wigner Measures in Noncommutative Quantum Mechanics
• Quantum gauge theories on noncommutative 3-d space
• On the equivalence between bumblebee models and electrodynamics in a non-linear gauge
• The Stringy Quantum Hall Fluid
• Simulating non-commutative field theory
• Aharonov-Bohm effect in a Class of Noncommutative Theories
• Quantisation of θ-expanded non-commutative QED
• Noncommutative Scalar Field Coupled to Gravity
• Search for the birefringence of gravitational waves with the third observing run of Advanced LIGO-Virgo
• An algebraic scheme associated with the noncommutative KP hierarchy and some of its extensions
• Noncommutative Differential Forms on the kappa-deformed Space
• Twist-Deformed Supersymmetries in Non-Anticommutative Superspaces
• Entanglement due to noncommutativity in the phase-space
• Matrix Model Approach to Cosmology
• Phase-space noncommutative formulation of Ozawa's uncertainty principle
• Probing Lorentz and CPT Violation in a Magnetized Iron Detector using Atmospheric Neutrinos
• Testing volume independence of SU(N) pure gauge theories at large N
• Newton's Equation on the kappa space-time and the Kepler problem
• Fundamental length in quantum theories with PT-symmetric Hamiltonians
• Gravitational Aharonov-Bohm effect due to noncommutative BTZ black hole
• Noncommutative gravity: fuzzy sphere and others
• On the Origin of the UV-IR Mixing in Noncommutative Matrix Geometry
• Breaking CPT by mixed non-commutativity
• Generalized Uncertainty Principle Removes The Chandrasekhar Limit
• Non-commutative field theory and composite Fermi Liquids in some quantum Hall systems
• On the quantum structure of space-time, gravity, and higher spin in matrix models
• Noncommutative Inspired Reissner-Nordström Black Holes in Large Extra Dimensions
• Semi-Leptonic Decay of a Polarized Top Quark in the Noncommutative Standard Model
• Noncommutative geometry, gauge theory and renormalization
• Twisted Hopf symmetries of canonical noncommutative spacetimes and the no-pure-boost principle
• Noncommutative Field Theory from twisted Fock space
• Associativity Anomaly in String Field Theory
• Non-Canonical Phase-Space Noncommutativity and the Kantowski-Sachs singularity for Black Holes
• Noncommutative Instantons in Higher Dimensions, Vortices and Topological K-Cycles
• Parametric representation of a translation-invariant renormalizable noncommutative model
• $\kappa$-deformed Dirac Equation
• On Noncommutative Minisuperspace and the Friedmann equations
• $\kappa$-Poincaré invariant quantum field theories with KMS weight
• Probing noncommutative theories with quantum optical experiments
• Anisotropic constant-roll inflation with noncommutative model and swampland conjectures
• Gauge Theory on Fuzzy S^2 x S^2 and Regularization on Noncommutative R^4
• Extension of Noncommutative Soliton Hierarchies
• Effective action and phase transitions of scalar field on the fuzzy sphere
• Spontaneous Lorentz symmetry-breaking constraints in Kalb-Ramond gravity
• The one-loop effective action for quantum electrodynamics on noncomutative space
• Differential structure on kappa-Minkowski space, and kappa-Poincare algebra
• The singularity problem and phase-space noncanonical noncommutativity
• Covariant Field Equations, Gauge Fields and Conservation Laws from Yang-Mills Matrix Models
• Geodesic stability and quasinormal modes of non-commutative Schwarzschild black hole employing Lyapunov exponent
• Quantum phase transitions in the noncommutative Dirac Oscillator
• Hamiltonian formalisms and symmetries of the Pais-Uhlenbeck oscillator
• Nonplanar Anomalies in Noncommutative Theories and the Green-Schwarz Mechanism
• Noncommutative gauge theory and symmetry breaking in matrix models
• Superfield covariant analysis of the divergence structure of noncommutative supersymmetric QED${}_4$
• Unitarity of Time-Like Noncommutative Gauge Theories: The Violation of Ward Identities in Time-Ordered Perturbation Theory
• Probing Quantum Gravity with Imaging Atmospheric Cherenkov Telescopes
• Probing phase-space noncommutativity through quantum mechanics and thermodynamics of free particles and quantum rotors
• Evidence for F(uzz) Theory
• General structure of the photon self-energy in non-commutative QED
• Quantum Hall Effect In Bilayer Systems And The Noncommutative Plane: A Toy Model Approach
• Quasi-normal modes of the Einstein-Maxwell-aether Black Hole
• Noncommutativity, generalized uncertainty principle and FRW cosmology
• kappa-Minkowski representations on Hilbert spaces
• The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle
• Gauge theories on quantum spaces
• Aharonov-Casher effect for spin one particles in a noncommutative space
• Non-anticommutativity in Presence of a Boundary
• Riemannian Geometry of Noncommutative Surfaces
• K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist
• Twists, realizations and Hopf algebroid structure of kappa-deformed phase space
• Conformal Invariance in noncommutative geometry and mutually interacting Snyder Particles
• $t\to bW$ in NonCommutative Standard Model
• Deformation of the ABJM Theory
• Commuting Flows and Conservation Laws for Noncommutative Lax Hierarchies
• Emergent Geometry and Quantum Gravity
• Lorentz invariant and supersymmetric interpretation of noncommutative quantum field theory
• On nonanticommutative N=2 sigma-models in two dimensions
• Effects of Noncommutativity on the Black Hole Entropy
• Energy nonconservation as a link between $f(R,T)$ gravity and noncommutative quantum theory
• Heat kernel and number theory on NC-torus
• Noncommutative Instantons via Dressing and Splitting Approaches
• Noncommutative analogue Aharonov-Bohm effect and superresonance
• Gravitational Collapse of a Homogeneous Scalar Field in Deformed Phase Space
• Low-Energy Dynamics of Noncommutative CP^1 Solitons in 2+1 Dimensions
• Entanglement entropy on the fuzzy sphere
• On the Landau system in noncommutative phase-space
• Inertial spin Hall effect in noncommutative space
• Deformed Two-Photon Squeezed States in Noncommutative Space
• Loop Calculations for the Non-Commutative U(1) Gauge Field Model with Oscillator Term
• Non-anticommutative deformation of N=(1,1) hypermultiplets
• On the superfield effective potential in three dimensions
• Cosmological Time Crystal: Cyclic Universe with a small $\Lambda$ in a toy model approach
• On the finiteness of noncommutative supersymmetric QED${}_3$ in the covariant superfield formulation
• Open spin chains for giant gravitons and relativity
• Noncommutative quantum mechanics -- a perspective on structure and spatial extent
• On Continuous Moyal Product Structure in String Field Theory
• Noncommutative Synchrotron
• Propagators for Noncommutative Field Theories
• Tunneling of massive particles from noncommutative inspired Schwarzschild black hole
• Lamb shift and Stark effect in simultaneous space-space and momentum-momentum noncommutative quantum mechanics and $\theta$-deformed $su(2)$ algebra
• Noncommutative minisuperspace, gravity-driven acceleration and kinetic inflation
• Fuzzy spaces and new random matrix ensembles
• Violation of the Robertson-Schrödinger uncertainty principle and non-commutative quantum mechanics
• The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios
• Noncommutative gauge theories on ${\mathbb{R}}_{\theta }^2$ as matrix models
• Classical dynamics on curved Snyder space
• Influence of a Minimal Length on the Creation of Scalar Particles
• Time-dependent Aharonov-Bohm effect on the noncommutative space
• Energy Crisis or a New Soliton in the Noncommutative CP(1) Model?
• Quantum Fields with Noncommutative Target Spaces
• Finite temperature phase transition of a single scalar field on a fuzzy sphere
• Noncommutivity and Scalar Field Cosmology
• Electrodynamics of a Generalized Charged Particle in Doubly Special Relativity Framework
• Relativistic Thermodynamics with an Invariant Energy Scale
• Particle-like solutions to classical noncommutative gauge theory
• Minimal Scales from an Extended Hilbert Space
• Non-commutative Geometry from Perturbative Quantum Gravity
• A Deformation Quantization Theory for Non-Commutative Quantum Mechanics
• Twisted Covariant Noncommutative Self-dual Gravity
• Non-commutative multi-dimensional cosmology
• String states, loops and effective actions in noncommutative field theory and matrix models
• The Wilson-Polchinski Renormalization Group Equation in the Planar Limit
• D=2, N=2, Supersymmetric theories on Non(anti)commutative Superspace
• A Weak Gravity Conjecture for Scalar Field Theories
• Noncommutative Monopoles and Riemann-Hilbert Problems
• The noncommutative degenerate electron gas
• Dynamical noncommutativity and Noether theorem in twisted phi^*4 theory
• String-- and Brane--Localized Causal Fields in a Strongly Nonlocal Model
• Phase-space noncommutative extension of the Robertson-Schroedinger formulation of Ozawa's uncertainty principle
• UV/IR mixing and the Goldstone theorem in noncommutative field theory
• Quantum mechanics with coordinate dependent noncommutativity
• Telltale Traces of U(1) Fields in Noncommutative Standard Model Extensions
• Introduction to Quantum-Gravity Phenomenology
• Bosonization in the Noncommutative Plane
• Open Wilson Lines and Group Theory of Noncommutative Yang-Mills Theory in Two Dimensions
• Perturbative Approach to Higher Derivative Theories with Fermions
• Effects of deformed phase space on scalar field cosmology
• Worldline Formalism in Snyder Spaces
• Noncommutative vector bundles over fuzzy CP^N and their covariant derivatives
• Experimental Search for Quantum Gravity
• Inflationary Universe in Deformed Phase Space Scenario
• On the Stability of Planetary Circular Orbits in Noncommutative Spaces
• Quantum differentiability on noncommutative Euclidean spaces
• Dispersion Relations in Noncommutative Theories
• On de Sitter Spacetime and String Theory
• Heat kernel, effective action and anomalies in noncommutative theories
• Tunneling of massive and charged particles from noncommutative Reissner-Nordström black hole
• Nonassociative Snyder phi4 Quantum Field Theory
• Asymptotic freedom for $\lambda {\varphi }_{\star }^4$ QFT in Snyder-de Sitter space
• On the energy-momentum tensor in non-commutative gauge theories
• Sigma-Model Solitons in the Noncommutative Plane: Construction and Stability Analysis
• The Higgs Mass, Superconnections and the TeV-scale Left-Right Symmetric Model
• Supersymmetric Quantum Mechanics on Non-Commutative Plane
• Instantons, Topological Strings and Enumerative Geometry
• Moyal Formulation of Witten's Star Product in the Fermionic Ghost Sector
• Superfield theory and supermatrix model
• Noncommutative Electromagnetism As A Large N Gauge Theory
• Coherent States of the Deformed Heisenberg-Weyl Algebra in Noncommutative Space
• The emergence of Special and Doubly Special Relativity
• Matrix Models and D-branes in Twistor String Theory
• Thermodynamics on Noncommutative Geometry in Coherent State Formalism
• Graphene and non-Abelian quantization
• On the UV renormalizability of noncommutative field theories
• Bell operator and Gaussian squeezed states in noncommutative quantum mechanics
• Moonshine, Superconformal Symmetry, and Quantum Error Correction
• Curing the UV/IR mixing for field theories with translation-invariant $\star$ products
• Lectures on Matrix Field Theory I
• Examples of Emergent Type IIB Backgrounds from Matrices
• Comments on Noncommutative ADHM Construction
• Elongated U(1) Instantons on Noncommutative R^4
• The BV Formalization of Chern-Simons Theory on Deformed Superspace
• Noncommutative QFT and Renormalization
• The Chern-Simons One-form and Gravity on a Fuzzy Space
• Holographic Brownian Motion in Magnetic Environments
• Classical Mechanics on Noncommutative Space with Lie-algebraic Structure
• Notes on Exact Multi-Soliton Solutions of Noncommutative Integrable Hierarchies
• On Reductions of Noncommutative Anti-Self-Dual Yang-Mills Equations
• Exact master equation for a noncommutative Brownian particle
• Towards A Background Independent Quantum Gravity
• Noncommutative quantum mechanics and Bohm's ontological interpretation
• Failure of Standard Thermodynamics in Planck Scale Black Hole System
• Interacting fermions on noncommutative spaces: Exactly solvable quantum field theories in 2n+1 dimensions
• Non-Anti-Commutative deformation of effective potentials in supersymmetric gauge theories
• Fast Scramblers and Non-Commutative Gauge Theories
• Interpretation of the Cosmological Constant Problem within the Framework of Generalized Uncertainty Principle
• Path integral representations in noncommutative quantum mechanics and noncommutative version of Berezin-Marinov action
• Detecting Noncommutative Phase Space by Aharonov-Bohm Effect
• Entanglement Entropy on Fuzzy Spaces
• Noncommutative Black-Body Radiation: Implications On Cosmic Microwave Background
• CPT/Lorentz Invariance Violation and Neutrino Oscillation
• On Non-Commutative U*(1) Gauge Models and Renormalizability
• Noncommutativity, Extra Dimensions, and Power Law Running in the Infrared
• Noncommutative Space Corrections on the Klein-Gordon and Dirac Oscillators Spectra
• Failure of microcausality in quantum field theory on noncommutative spacetime
• Exact Partition Functions for Gauge Theories on ${\mathbb{R}}_{\lambda }^3$
• Duality in Noncommutative Topologically Massive Gauge Field Theory Revisited
• Determining the Minimal Length Scale of the Generalized Uncertainty Principle from the Entropy-Area Relationship
• The $AdS$ particle
• Non-singular Brans-Dicke collapse in deformed phase space
• An Interpretation of Noncommutative Field Theory in Terms of a Quantum Shift
• Classical Noncommutative Electrodynamics with External Source
• Möller and Bhabha scattering in the noncommutative standard model
• Minimal areas from q-deformed oscillator algebras
• $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ scattering in the Noncommutative standard model
• Braided Symmetries in Noncommutative Field Theory
• Noncommutative gauge theories on ${\mathbb{R}}_{\lambda }^3$: Perturbatively finite models
• BPS-type equations in the non-anticommutative N=2 supersymmetric U(1) gauge theory
• Matrix Model Description of Laughlin Hall States
• Dyonic Instantons in 5-dim Yang-Mills Chern-Simons Theories
• Noncommutative Field Theory on Homogeneous Gravitational Waves
• Thermodynamics of a non-commutative fermion gas
• Non-Hermitian quantum mechanics in non-commutative space
• Supersymmetric quantum mechanics on noncommutative space
• Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb-Ramond gravity
• Chiral effective potential in $\mathcal{N}=1/2$ non-commutative Wess-Zumino model
• TeV Scale Phenomenology of $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ Scattering in the Noncommutative Standard Model with Hybrid Gauge Transformation
• Quasinormal Modes in Noncommutative Schwarzschild black holes
• Interaction of Noncommutative Plane Waves in 2+1 Dimensions
• Non-commutative gauge theory on D-branes in Melvin Universes
• Towards Noncommutative Integrable Equations
• Multi-vortices are Wall Vortices: A Numerical Proof
• More on the Nambu-Poisson M5-brane Theory: Scaling limit, background independence and an all order solution to the Seiberg-Witten map
• Noncommutative Geometry Inspired Entropic Inflation
• Noncommutative relativistic particles
• Dark Energy and String Theory
• Quantum Corrections for Translation-Invariant Renormalizable Non-Commutative Phi^4 Theory
• The Existence and Stability of Noncommutative Scalar Solitons
• Issues of duality on non-commutative manifolds: the {\it non-equivalence} between self-dual and topologically massive models
• Lorentz and CPT symmetries in commutative and noncommutative spacetime
• Noncommutative gauge theories on D-branes in non-geometric backgrounds
• One-loop Beta Functions for the Orientable Non-commutative Gross-Neveu Model
• Spontaneous Symmetry Breaking in Noncommutative Field Theory
• Class of invariants for the 2D time-dependent Landau problem and harmonic oscillator in a magnetic field
• Quantum Field Theory in a Non-Commutative Space: Theoretical Predictions and Numerical Results on the Fuzzy Sphere
• Seiberg-Witten map and quantum phase effects for neutral Dirac particle on noncommutatiave plane
• Features of Moyal Trajectories
• Topological Charge of Noncommutative ADHM Instanton
• Seiberg-Witten Monopole Equations on Noncommutative R^4
• U(1) gauge invariant noncommutative Schrödinger theory and gravity
• Light Cone in a Quantum Spacetime
• Non-Commutative Geometry from Strings
• The Noncommutative S-Matrix
• OSp(1|4) supergravity and its noncommutative extension
• Coherent states in noncommutative quantum mechanics
• Nonassociativity, Malcev Algebras and String Theory
• Noncommutative Standard Modelling
• Lectures on Two-Dimensional Noncommutative Gauge Theory 2: Quantization
• Relativistic field theories in a magnetic background as noncommutative field theories
• Chiral Bosons in Noncommutative Spacetime
• Noncommutative Induced Gauge Theories on Moyal Spaces
• Quantum engines and the range of the second law of thermodynamics in the noncommutative phase-space
• Test of Emergent Gravity
• Thermodynamics of noncommutative high-dimensional AdS black holes with non-Gaussian smeared matter distributions
• Noncommutative Field Theory from Quantum Mechanical Space-Space Noncommutativity
• Non-commutative Supersymmetric Quantum Mechanics
• Coulomb potential in one dimension with minimal length: A path integral approach
• A quantum algebraic description of D-branes on group manifolds
• Charged Einstein-æther black holes in $n$-dimensional spacetime
• Effect of Minimal lengths on Electron Magnetism
• Aspects of ABJ Theory
• Space-time non-commutativity tends to create bound states
• Noncommutative Maxwell-Chern-Simons theory in three dimensions and its dual
• Exact noncommutative solitons in p-adic strings and BSFT
• Finite axionic electrodynamics from a new noncommutative approach
• Jain States in a Matrix Theory of the Quantum Hall Effect
• Dynamical Noncommutative Graphene
• Functional Renormalization of Noncommutative Scalar Field Theory
• Non-commutative (D)-instantons
• Quantum Gravity from Noncommutative Spacetime
• Black-Body Radiation Of Noncommutative Gauge Fields
• Instanton Number Calculus on Noncommutative R^4
• Dolan-Grady Relations and Noncommutative Quasi-Exactly Solvable Systems
• $\kappa$-Minkowski star product in any dimension from symplectic realization
• Angular momentum quantum backflow in the noncommutative plane
• Stabilization of Compactification Volume In a Noncommutative Mini-Super-Phase-Space
• Closed star product on noncommutative ${\mathbb{R}}^3$ and scalar field dynamics
• Low-energy constraints on kappa-Minkowski extension of the Standard Model
• Quantum Electrodynamics on Noncommutative Spacetime
• Volume independence for Yang-Mills fields on the twisted torus
• Deformed squeezed states in noncommutative phase space
• The Continuum Phase Diagram of the 2d Non-Commutative lambda phi**4 Model
• Schwarzschild Geometry Emerging from Matrix Models
• Field theory amplitudes in a space with SU(2) fuzziness
• Noncommutative fields and actions of twisted Poincare algebra
• Deformed General Relativity and Torsion
• Field theories on spaces with linear fuzziness
• Spectrum of the three dimensional fuzzy well
• Uniform order phase and phase diagram of scalar field theory on fuzzy $\mathbb{C}{P}^n$
• Three-dimensional Lorentz-violating action
• A non-perturbative approach to the scalar Casimir effect with Lorentz symmetry violation
• An Introduction to Noncommutative Physics
• Fuzzy gauge theory for quantum computers
• A squeezed review on coherent states and nonclassicality for non-Hermitian systems with minimal length
• UV/IR Mixing in Nonassociative Snyder phi^4 Theory
• Minimal theory of quasidilaton massive gravity
• Chern-Simons Theory in SIM(1) Superspace
• The Higgs Mass and the Emergence of New Physics
• Non-anticommutative ABJ Theory
• Worldline approach to noncommutative field theory
• Quantum tunneling and spectroscopy of noncommutative inspired Kerr black hole
• Quantum complex scalar fields and noncommutativity
• Lorentz violation in three-family neutrino oscillation
• Singlet particles as cold dark matter in noncommutative space-time
• Morita Duality and Noncommutative Wilson Loops in Two Dimensions
• Locality, Causality and Noncommutative Geometry
• Nondecoupling phenomena in QED in a magnetic field and noncommutative QED
• Regularization of Non-commutative SYM by Orbifolds with Discrete Torsion and SL(2,Z) Duality
• Noncommutativity and Reparametrisation symmetry
• Embedding Commutative and Noncommutative Theories in the Symplectic Framework
• Deformed N=1 supersymmetry
• Duality between Noncommutative Yang-Mills-Chern-Simons and Non-Abelian Self-Dual Models
• Noncommuting Electric Fields and Algebraic Consistency in Noncommutative Gauge theories
• Lattice Perturbation Theory in Noncommutative Geometry and Parity Anomaly in 3D Noncommutative QED
• Free q-Deformed Relativistic Wave Equations by Representation Theory
• Noncommutative QED and Muon Anomalous Magnetic Moment
• The low energy limit of the non-commutative Wess-Zumino model
• Dynamical noncommutativity
• On The Bound States Of Photons In Noncommutative Quantum Electrodynamics
• Loop diagrams in space with SU(2) fuzziness
• Scattering of spin 1/2 particles by the 2+1 dimensional noncommutative Aharonov-Bohm potential
• Graded Hopf Maps and Fuzzy Superspheres
• Towards an explicit expression of the Seiberg-Witten map at all orders
• Topological Number of Edge States
• Noncommutative Extension of AdS-CFT and Holographic Superconductors
• Classical Solutions of the TEK Model and Noncommutative Instantons in Two Dimensions
• Resonant-bar detectors of gravitational wave as possible probe of the noncommutative structure of space
• New higher-order generalized uncertainty principle: Applications
• Seiberg-Witten Map for Superfields on Canonically Deformed N=1, d=4 Superspace
• Curvature and Gravity Actions for Matrix Models II: the case of general Poisson structure
• Brane-world black hole entropy from modified dispersion relations
• On Generalized Uncertainty Principle
• On The Classical Dynamics Of Charges In Noncommutative QED
• Localization for Yang-Mills Theory on the Fuzzy Sphere
• Noncommutative Chern-Simons Soliton
• String Theory or Field Theory?
• A New Class of Two-Dimensional Noncommutative Spaces
• Curvature and Gravity Actions for Matrix Models
• Quantum corrections to the noncommutative kink
• Nonassociative geometry and twist deformations in non-geometric string theory
• Bound on Noncommutative Standard Model with Hybrid Gauge Transformation via Lepton Flavor Conserving $Z$ Decay
• Entanglement Entropy Renormalization for the NC scalar field coupled to classical BTZ geometry
• Noncommutative Solitons and Quasideterminants
• Random matrix approach to scalar fields on fuzzy spaces
• IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem
• (Non)Commutative Finsler Geometry from String/M--theory
• Building a case for a Planck-scale-deformed boost action: the Planck-scale particle-localization limit
• Testing Lorentz- and CPT-invariance with ultracold neutrons
• Noncommutative Multi-Instantons on R^{2n} x S^2
• Non-Hermitian noncommutative quantum mechanics
• On the triviality of higher derivative thoeries
• Edge States from Defects on the Noncommutative Plane
• Noncommutative Correction to the Aharonov-Bohm Scattering: a Field Theory Approach
• On duality of the noncommutative extension of the Maxwell-Chern-Simons model
• Noncommutative Geometry and Fluid Dynamics
• Nonpertubative Effects of Extreme Localization in Noncommutative Geometry
• Improved Localization of a Renormalizable Non-Commutative Translation Invariant U(1) Gauge Model
• Weak Gravity Conjecture for Noncommutative Field Theory
• A Novel "Magnetic" Field And Its Dual Non-Commutative Phase Space
• The Snyder-de Sitter Scalar ${\phi }_{\star }^4$ Quantum Field Theory in D=2
• Effects of the Generalized Uncertainty Principle on the Inflation Parameters
• Hall viscosity and geometric response in the Chern-Simons matrix model of the Laughlin states
• The Decay of Unstable Noncommutative Solitons
• BRST Quantization of Noncommutative Gauge Theories
• Fractional quantum Hall effect on the two-sphere: a matrix model proposal
• Fermions on tori in uniform abelian fields
• Photon propagation in noncommutative QED with constant external field
• SL(2,C) gravity on noncommutative space with Poisson structure
• Free-fall in a uniform gravitational field in non-commutative quantum mechanics
• Wilsonian Renormalization of Noncommutative Scalar Field Theory
• D1-Strings in Large RR 3-Form Flux, Quantum Nambu Geometry and M5-Branes in C-Field
• Non-commutativity and non-inertial effects on the Dirac oscillator in a cosmic string space-time
• Instanton Number of Noncommutative U(n) gauge theory
• Analyticity and Forward Dispersion Relations in Noncommutative Quantum Field Theory
• Seiberg-Witten Map for Superfields on N=(1/2,0) and N=(1/2,1/2) Deformed Superspace
• Ring Structure of SUSY * Product and 1/2 SUSY Wess-Zumino Model
• Discrete Nonlocal Waves
• Chern-Simons terms in Lifshitz like quantum electrodynamics
• The Matrix Chern-Simons One-form as a Universal Chern-Simons Theory
• The One-Plaquette Model Limit of NC Gauge Theory in 2D
• A New Derivation of the CPT and Spin-Statistics Theorems in Non-Commutative Field Theories
• Self-quartic interaction for a scalar field in an extended DFR noncommutative spacetime
• Pauli Oscillator In Noncommutative Space
• Noncommutative U(1) gauge theory from a worldline perspective
• Non-BPS Solutions of the Noncommutative CP^1 Model in 2+1 Dimensions
• Seiberg-Witten map Invariant Scatterings
• Deformed phase space in a two dimensional minisuperspace model
• Noncommutative Field Theory of the Tkachenko Mode: Symmetries and Decay Rate
• On the duality of three-dimensional superfield theories
• Universality of the Unruh effect
• Gauge gravitation theory from the geometric viewpoint
• Noncommutativity in (2+1)-dimensions and the Lorentz group
• On the Free Energy of Noncommutative Quantum Electrodynamics at High Temperature
• Stability Conditions For a Noncommutative Scalar Field Coupled to Gravity
• Probing Noncommutative Gravity with Gravitational Wave and Binary Pulsar Observations
• Konishi Anomaly and Central Extension in N=1/2 Supersymmetry
• Probing the noncommutative effects of phase space in the time-dependent Aharonov-Bohm effect
• Kontsevich product and gauge invariance
• Two-dimensional non-commutative Yang-Mills theory: coherent effects in open Wilson line correlators
• Path Integrals in Noncommutative Quantum Mechanics
• Noncommutative solitons on Kahler manifolds
• The Supersymmetric (2+1)D Noncommutative $C{P}^{(N-1)}$ Model in the Fundamental Representation
• Un-equivalency Theorem between Deformed and undeformed Heisenberg-Weyl's Algebras
• One-loop $\beta$ functions of a translation-invariant renormalizable noncommutative scalar model
• Realization of the Noncommutative Seiberg-Witten Gauge Theory by Fields in Phase Space
• Exploring the CPT violation and birefringence of gravitational waves with ground- and space-based gravitational-wave interferometers
• Axial anomaly of QED in a strong magnetic field and noncommutative anomaly
• Tetrahedron instantons
• Chiral Models in Noncommutative N=1/2 Four Dimensional Superspace
• Note on a fermionic solution of the matrix model and noncommutative superspace
• On the viability of Planck scale cosmology with quartessence
• Noncommutative Two Dimensional BF Model
• Footprint of spatial noncommutativity in resonant detectors of gravitational wave
• Constraints on Non-Commutative Physics Scale with Neutrino-Electron Scattering
• On space-time noncommutative theories at finite temperature
• The covariant form of the gauge anomaly on noncommutative R2n
• QFT with Twisted Poincaré Invariance and the Moyal Product
• On Noncommutative Merons and Instantons
• Covariantly Quantized Spinning Particle and its Possible Connection to Non-Commutative Space-Time
• $L_{\infty }$-Bootstrap Approach to Non-Commutative Gauge Theories
• Chiral dynamics in QED and QCD in a magnetic background and nonlocal noncommutative field theories
• Noncommutative Particles in Curved Spaces
• The twisted gradient flow coupling at one loop
• Noncommutative field gas driven inflation
• Canonical Quantization of Noncommutative Field Theory
• The Moduli Space of Noncommutative Vortices
• Orbits of particles in noncommutative Schwarzschild spacetime
• Matrix model approximations of fuzzy scalar field theories and their phase diagrams
• Vacuum energy and the cosmological constant problem in $\kappa$-Poincaré invariant field theories
• Lowest Landau level theory of the bosonic Jain states
• Dirac equation on coordinate dependent noncommutative space-time
• Noncommutative Effects in the Black Hole Evaporation in Two Dimensions
• The method of covariant symbols in curved space-time
• Equations of motion, Noncommutativity and Quantization
• Spontaneous breaking of translational invariance in non-commutative lambda phi^4 theory in two dimensions
• On the two-dimensional time-dependent anisotropic harmonic oscillator in a magnetic field
• Wilson Loops in 2D Noncommutative Euclidean Gauge Theory: 1. Perturbative Expansion
• Spontaneous reduction of noncommutative gauge symmetry and model building
• Multi-Dimensional Cosmology and GUP
• Single top quark production in $t$-channel at the LHC in Noncommutative Space-Time
• Duality and Braiding in Twisted Quantum Field Theory
• Aspects of finite electrodynamics in D=3 dimensions
• A bound on the scale of spacetime noncommutativity from the reheating phase after inflation
• Seiberg-Witten maps and commutator anomalies in noncommutative electrodynamics
• Tree amplitudes of noncommutative U(N) Yang-Mills Theory
• Noncommutative Vortices and Flux-Tubes from Yang-Mills Theories with Spontaneously Generated Fuzzy Extra Dimensions
• Noncommutativity and Model Building
• Noncommutative Thermofield Dynamics
• Quantum mechanics in phase space: The Schrödinger and the Moyal representations
• Involutive representations of coordinate algebras and quantum spaces
• High energy neutrino oscillation at the presence of the Lorentz Invariance Violation
• On the Newtonian limit of emergent NC gravity and long-distance corrections
• Spin Non-commutativity and the Three-Dimensional Harmonic Oscillator
• The spectrum of 2+1 dimensional Yang-Mills theory on a twisted spatial torus
• Test of Quantum Effects of Spatial Noncommutativity using Modified Electron Momentum Spectroscopy
• Quantum mechanics on space with SU(2) fuzziness
• On the continuity of the commutative limit of the 4d N=4 non-commutative super Yang-Mills theory
• Gauge invariance of dimension two condensate in Yang-Mills theory
• Maxwell-Chern-Simons Theory is Free for Marginally Noncommutative Spacetimes
• Mutual information on the fuzzy sphere
• Some aspects of quantum mechanics and field theory in a Lorentz invariant noncommutative space
• Klein-Gordon theory in noncommutative phase space
• Relativistic and nonrelativistic Landau levels for the noncommutative quantum Hall effect with anomalous magnetic moment in a conical Gödel-type spacetime
• Symmetries and reductions on the noncommutative Kadomtsev-Petviashvili and Gelfand-Dickey hierarchies
• Deformed conformal and super-Poincaré symmetries in the non-(anti)commutative spaces
• Statistical Measures of Planck Scale Signal Correlations in Interferometers
• Lorentz symmetry breaking in the noncommutative Wess-Zumino model: One loop corrections
• 2D Relativistic Oscillators with a Uniform Magnetic Field in Anti-deSitter Space
• Noncommutative Cohomological Field Theory and GMS soliton
• Probing Noncommutativities of Phase Space by Using Persistent Charged Current and Its Asymmetry
• Poisson structure on a space with linear SU(2) fuzziness
• Noncommutative Standard Model in Top Quark Sector
• Existence of new nonlocal field theory on noncommutative space and spiral flow in renormalization group analysis of matrix models
• Noncommutative Finsler Geometry, Gauge Fields and Gravity
• Spectral Properties and Local Density of States of Disordered Quantum Hall Systems with Rashba Spin-Orbit Coupling
• Noncommutative Quantization for Noncommutative Field Theory
• Quantum speed limit for a relativistic electron in the noncommutative phase space
• Searching for Effects of Spatial Noncommutativity via Chern-Simons' Processes
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Perspectives on Quantum Gravity Phenomenology
• Algebraic approach to quantum field theory on a class of noncommutative curved spacetimes
• Time dependence of entanglement entropy on the fuzzy sphere
• Instabilities of noncommutative two dimensional BF model
• Neutral Higgs boson pair production at the LC in the Noncommutative Standard Model
• Noncommutative electrodynamics and ultra high energy gamma rays
• Quantum noncommutative multidimensional cosmology
• O(3) Sigma model with Hopf term on Fuzzy Sphere
• Scalar Solitons in Non(anti)commutative Superspace
• Lorentz violation naturalness revisited
• Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation
• The minimal length uncertainty and the nonextensive thermodynamics
• Casimir effect in 2+1 dimensional noncommutative theories
• Quasi BPS Wilson loops, localization of loop equation by homology and exact beta function in the large N limit of SU(N) Yang-Mills theory
• Noncommutativity from spectral flow
• Numerical stochastic perturbation theory applied to the twisted Eguchi-Kawai model
• Cancellation of soft and collinear divergences in noncommutative QED
• On Noncommutative Levi-Civita Connections
• Parameter Estimation for Tests of General Relativity with the Astrophysical Stochastic Gravitational Wave Background
• Transport equation and hard thermal loops in noncommutative Yang-Mills theory
• Thermodynamics of a charged particle in a noncommutative plane in a background magnetic field
• Quantisation of Klein-Gordon field in $\kappa$ space-time: deformed oscillators and Unruh effect
• Discrete Symmetries In Lorentz-Invariant Non-Commutative QED
• Superloop Space
• SIM$(1)$--VSR Maxwell-Chern-Simons electrodynamics
• The three-dimensional noncommutative Gross-Neveu model
• Noncommutative Dipole QED
• Validity of Goldstone Theorem at Two Loops in Noncommutative U(N) Linear Sigma Model
• Nonholonomic Clifford Structures and Noncommutative Riemann--Finsler Geometry
• Renormalization group approach to matrix models via noncommutative space
• UV/IR Mixing and Anomalies in Noncommutative Gauge Theories
• Do high-energy neutrinos travel faster than photons in a discrete space-time?
• How can rainbow gravity affect on gravitational force?
• Classical electrodynamics in a space with spin noncommutativity of coordinates
• Local Maxwell symmetry and gravity
• Wilson Loops in 2D Noncommutative Euclidean Gauge Theory: 2. 1/θExpansion
• Quantum vortex lattice: Lifshitz duality, topological defects and multipole symmetries
• A possible method for non-Hermitian and non-$PT$-symmetric Hamiltonian systems
• Aspects of Open-Closed Duality in a Background B-Field
• On the invariance under area preserving diffeomorphisms of noncommutative Yang-Mills theory in two dimensions
• Short Distance Physics and Initial State Effects on the CMB Power Spectrum
• Three dimensional noncommutative bosonization
• The static effective action for non-commutative QED at high temperature
• Spin Hall Effect For Anyons
• Thermofield Dynamics for Twisted Poincare-Invariant Field Theories: Wick Theorem and S-matrix
• Anomalies in Noncommutative Dipole Field Theories
• Translational-invariant noncommutative gauge theory
• Free-falling test particles in a charged Kalb-Ramond black hole: gravitational Doppler effect and tidal forces
• Scattering in three-dimensional fuzzy space
• Thermofield dynamics and twisted Poincaré symmetry on Moyal space-time
• Thermofield dynamics and Gravity
• The Noncommutative Doplicher-Fredenhagen-Roberts-Amorim Space
• Time-space noncommutativity and Casimir effect
• Non-commutativity and Supersymmetry
• Extending general covariance: Moyal-type noncommutative manifolds
• Derivations of the Moyal Algebra and Noncommutative Gauge Theories
• Coordinate noncommutativity in strong non-uniform magnetic fields
• On the Plethora of Representations Arising in Noncommutative Quantum Mechanics and An Explicit Construction of Noncommutative 4-tori
• UV/IR mode mixing and the CMB
• Constrains of Charge-to-Mass Ratios on Noncommutative Phase Space
• On Poisson Electrodynamics With Charged Fields
• Time dependent solitons of noncommutative Chern-Simons theory coupled to scalar fields
• On the Consistency of Twisted Gauge Theory
• Mirror Symmetry in Emergent Gravity
• The Cutkosky rule of three dimensional noncommutative field theory in Lie algebraic noncommutative spacetime
• Instantons on General Noncommutative R^4
• Aspects of Open-Closed Duality in a Background B-Field II
• Contravariant Gravity on Poisson Manifolds and Einstein Gravity
• Discretized Yang-Mills and Born-Infeld actions on finite group geometries
• Ward identity in noncommutative QED
• A framework for nonrelativistic isotropic models based on generalized uncertainty principles
• A new approach to deformation equations of noncommutative KP hierarchies
• Two-Point Functions on Deformed Spacetime
• Supersymmetric Lorentz invariant deformations of superspaces
• On the unitarity of higher-dervative and nonlocal theories
• Calabi-Yau manifolds from noncommutative Hermitian U(1) instantons
• Thermodynamics on Fuzzy Spacetime
• Exploring the thermodynamics of non-commutative scalar fields
• Violation of Lorentz invariance and dynamical effects in high energy gamma rays
• On the Physics of the Minimal Length: The Question of Gauge Invariance
• Axiomatic $G_1$-vertex algebras
• Effective actions, Wilson lines and the IR/UV mixing in noncommutative supersymmetric gauge theories
• Highly Effective Action from Large N Gauge Fields
• Construction of Noncommutative Instantons in 4k Dimensions
• Induced entanglement entropy of harmonic oscillators in noncommutative phase space
• WKB-type Approximation to Noncommutative Quantum Cosmology
• Dynamics of O(N) Model in a Strong Magnetic Background Field as a Modified Noncommutative Field Theory
• Noncommutative Maxwell-Chern-Simons theory (I): One-loop dispersion relation analysis
• Possible Effects of Noncommutative Geometry on Weak CP Violation and Unitarity Triangles
• Constraining GUP Models Using Limits on SME Coefficients
• Gauge-Invariant Resummation Formalism and Unitarity in Non-Commutative QED
• Fundamental physics in space: a Quantum-Gravity perspective
• On the Entropy of Deformed Phase Space Black Hole and the Cosmological Constant
• A Noncommutative Version of the Minimal Supersymmetric Standard Model
• Noncommutativity from the string perspective: modification of gravity at a mm without mm sized extra dimensions
• Path integrals in Snyder space
• Tales of D0 on D6 Branes: Matrix Mechanics of Identical Particles
• Corrections to the Cardy-Verlinde formula from the modified dispersion relation in extra dimensions
• On the Meaning of the String-Inspired Noncommutativity and its Implications
• Gaussian fidelity distorted by external fields
• Laser intensity effects in noncommutative QED
• Gauge theories and non-commutative geometry
• A Review of Noncommutative Field Theories
• Violation of Remaining Lorentz Symmetry in the Approach of Time-Ordered Perturbation Theory to Space-Time Noncommutativity
• Metastring Theory and Modular Space-time
• Quantum noncommutative ABJM theory: first steps
• On Poisson geometries related to noncommutative emergent gravity
• A Renormalizable SYK-type Tensor Field Theory
• Snyder-de Sitter meets the Grosse-Wulkenhaar model
• Statistical mechanics of free particles on space with Lie type noncommutativity
• UV/IR mixing as a twisted Poincaré anomaly
• Canonical analysis of space-time noncommutative theories and gauge symmetries
• On Non-Commutative Correction of the Gödel-type Metric
• Noncommutative Instantons in 4k Dimensions
• Coherent quantum squeezing due to the phase space noncommutativity
• The U(1)A anomaly in noncommutative SU(N) theories
• (Non)commutative isotropization in Bianchi I with Barotropic perfect fluid and $\Lambda$ Cosmological
• The action functional for Moyal planes
• Generalized Non-Commutative Inflation
• Space-time: Commutative or noncommutative ?
• Boundaries in the Moyal plane
• Note on a new fundamental length scale $l$ instead of the Newtonian constant $G$
• Deformed Gazeau-Klauder Schrödinger-Cat States with Modified Commutation Relations
• Canonical formalism and quantization of perturbative sector of higher-derivative theories
• On Double Gauging of U(1) Symmetry on Noncommutative Space
• On the algebraic structure of rotationally invariant two-dimensional Hamiltonians on the noncommutative phase space
• Nonrelativistic Supersymmetry in Noncommutative Space
• Transmogrifying Fuzzy Vortices
• Noncommutativity and Lorentz Violation in Relativistic Heavy Ion Collisions
• Signatures of noncommutativity in bar detectors of gravitational waves
• Exact Solution of Schrödinger Equation in (Anti-)de Sitter Spaces for Hydrogen Atom
• Hard Thermal Effects in Noncommutative U(N) Yang-Mills Theory
• Orbifold instantons, moment maps and Yang-Mills theory with sources
• Noncommutative Universe and Chameleon Field Dynamics
• On Coordinate Transformations in Planar Noncommutative Theories
• A New Matrix Model for Noncommutative Field Theory
• Noncommutative Instantons in Diverse Dimensions
• Seiberg-Witten Geometry of Four-Dimensional $\mathcal{N}=2$ Quiver Gauge Theories
• Remarks on the Formulation of Quantum Mechanics on Noncommutative Phase Spaces
• Classical electrodynamics on Snyder space
• Exact Solutions of D-dimensional Klein-Gordon Oscillator with Snyder-de Sitter Algebra
• Probe Noncommutative Space-Time Scale Using $\gamma \gamma \to Z$ At ILC
• Aspects of Twistor Geometry and Supersymmetric Field Theories within Superstring Theory
• Proposed method of combining continuum mechanics with Einstein Field Equations
• Inferring the covariant $\Theta$-exact noncommutative coupling in the top quark pair production at linear colliders
• Hamiltonian formulation for perfect fluid equations with the l-conformal Galilei symmetry
• Analyticity of the Scattering Amplitude, Causality and High-Energy Bounds in Quantum Field Theory on Noncommutative Space-Time
• Classical transport equation in non-commutative QED at high temperature
• One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative 1/p**2 U(1) Gauge Model
• Extended Space Duality in the Noncommutative Plane
• Quantum and pseudoclassical descriptions of nonrelativistic spinning particles in noncommutative space
• Towards Noncommutative Fuzzy QED
• Deformations of Euclidean Supersymmetries
• Exact Solution of Noncommutative U(1) Gauge Theory in 4-Dimensions
• Field redefinition invariant Lagrange multiplier formalism
• Noncommutative quantum mechanics of simple matter systems interacting with circularly polarized gravitational waves
• Evaporating Quantum Lukewarm Black Holes Final State From Back-Reaction Corrections of Quantum Scalar Fields
• Aspects of Emergent Symmetries
• Deformed spaces and loop cosmology
• Squeezed atom laser for Bose-Einstein condensate with minimal length
• Neutrino-electron scattering in noncommutative space
• Higher derivative Chern-Simons extension in the noncommutative QED${}_3$
• Recursive Relations For Processes With n Photons Of Noncommutative QED
• Bound state energies and phase shifts of a non-commutative well
• Classical Group Field Theory
• Noncommutative geometry induced by spin effects
• Non-commutative Duality: High Spin Fields and $C{P}^1$ Model with Hopf Term
• Isometric Embeddings and Noncommutative Branes in Homogeneous Gravitational Waves
• First Simulation Results for the Photon in a Non-Commutative Space
• Non BPS noncommutative vortices
• Feasibility of Primordial Black Hole Remnants as Dark Matter in View of Hawking Radiation Recoil
• Classical dynamics on three dimensional fuzzy space: Connecting the short and long length scales
• Noncommutative QED+QCD and $\beta$-function for QED
• Chiral Symmetry Restoration in Holographic Noncommutative QCD
• Transport equation for the photon Wigner operator in non-commutative QED
• Entanglement-enhanced test proposal for local Lorentz-symmetry violation via spinor atoms
• Noncommutative field with constant background fields and neutral fermion
• Symmetries in noncommutative field theories: Hopf versus Lie
• Twisted invariances of noncommutative gauge theories
• Quantum and pseudoclassical descriptions of nonrelativistic spinning particles in noncommutative space
• Relativistic deformed kinematics: from flat to curved spacetimes
• On beta-deformations and Noncommutativity
• On Dark Energy and Quantum Gravity
• Impact of Supersymmetry on Emergent Geometry in Yang-Mills Matrix Models II
• Bäcklund Transformations and the Atiyah-Ward ansatz for Noncommutative Anti-Self-Dual Yang-Mills Equations
• Field Theory on a Non-commutative Plane: a Non-Perturbative Study
• The Abelian Higgs model and a minimal length in an un-particle scenario
• Analytical and numerical analysis of a rotational invariant D=2 harmonic oscillator in the light of different noncommutative phase-space configurations
• Noncommutative Fluids
• Theta functions on Noncommutative T^4
• Noncommutative fluid and Growing Modes of Inhomogeneity in (Newtonian) Cosmology
• Inhomogeneous chiral symmetry breaking in noncommutative four fermion interactions
• Non-commutative massive unquenched ABJM
• Noncommutative massive Thirring model in three-dimensional spacetime
• On decoherence in noncommutative plane with perpendicular magnetic field
• Equivalence between supersymmetric self-dual and Maxwell-Chern-Simons models coupled to a matter spinor superfield
• The entropy of dense non-commutative fermion gases
• Closedness of orbits in a space with SU(2) Poisson structure
• Renormalization on the fuzzy sphere
• Abelian Toda field theories on the noncommutative plane
• Cornwall-Jackiw-Tomboulis effective potential for canonical noncommutative field theories
• Inflation with a stringy minimal length, reworked
• Renormalization of the energy-momentum tensor in noncommutative scalar field theory
• Finite Temperature effects on the Induced Chern-Simons term in noncommutative geometry
• Space/Time Noncommutativity in String Theories without Background Electric Field
• Fermionic Contributions to the Free Energy of Noncommutative Quantum Electrodynamics at High Temperature
• UV/IR Mixing and Black Hole Thermodynamics
• Squeezed coherent states for gravitational well in noncommutative space
• Generalized Niederer's transformation for quantum Pais-Uhlenbeck oscillator
• One loop radiative corrections to the translation-invariant noncommutative Yukawa Theory
• Gauge Theories in Noncommutative Homogeneous Kähler Manifolds
• Path integral action of a particle in a magnetic field in the noncommutative plane and the Aharonov-Bohm effect
• Momentum Gauge Fields and Non-Commutative Space-Time
• Twist for Snyder space
• Effect of earth rotation on pair production of Standard Model Higgs bosons at linear colliders in the noncommutative space-time
• Landau levels in a 2D noncommutative space: matrix and quaternionic vector coherent states
• Back Reaction Inhomogeneities in Cosmological Parameter Evolution via Noncommutative Fluid
• Faddeev-Jackiw approach of the noncommutative spacetime Podolsky electromagnetic theory
• Introduction to a Non-Commutative Version of the Standard Model
• Representation theory of super Yang-Mills algebras
• Covariant star product on symplectic and Poisson spacetime manifolds
• The Mass Gap of the Space-time and its Shape
• Poisson Chern-Simons Gauge Theory
• Twisted Grosse-Wulkenhaar ${\varphi }^{\star 4}$ model: dynamical noncommutativity and Noether currents
• Fermions and noncommutative emergent gravity II: Curved branes in extra dimensions
• The Bow-Tie Centrality: A Novel Measure for Directed and Weighted Networks with an Intrinsic Node Property
• D-deformed Wess-Zumino model and its renormalizability properties
• On the consequences of twisted Poincare' symmetry upon QFT on Moyal noncommutative spaces
• The Hilbert space of 3d gravity: quantum group symmetries and observables
• Quantum aspects of a noncommutative supersymmetric kink
• One-loop structure of the U(1) gauge model on the truncated Heisenberg space
• Stabilization of internal space in noncommutative multidimensional cosmology
• Noncommutative Brownian motion
• Higgs production in $e^{-}{e}^{+}$ collisions as a probe of noncommutativity
• Deformed Two-Mode Quadrature Operators in Noncommutative Space
• Quantization and eigenvalue distribution of noncommutative scalar field theory
• Reality and causality in quantum gravity modified electrodynamics
• U(2,2) gravity on noncommutative space with symplectic structure
• Rainbow Rindler metric and Unruh effect
• Noncommutative mechanics, Landau levels, twistors and Yang-Mills amplitudes
• Conformal Anomalies in Noncommutative Gauge Theories
• Unspeakables and the Epistemological path towards Quantum Gravity
• Solving loop equations by Hitchin systems via holography in large-N QCD_4
• Induced magnetic moment in noncommutative Chern-Simons scalar QED
• Noncommutative Instantons on CP^n
• Noncommutative theories and general coordinate transformations
• D0 Matrix Mechanics: New Fuzzy Solutions at Large N
• Topics on D-brane charges with B-fields
• Quantum cloning and teleportation fidelity in the noncommutative phase-space
• Noncommutative Solitons in a Supersymmetric Chiral Model in 2+1 Dimensions
• Background field quantization and non-commutative Maxwell theory
• Glueball operators and the microscopic approach to N=1 gauge theories
• Quantum Aspects of the Noncommutative Sine-Gordon Model
• On the Effective Action of Noncommutative Yang-Mills Theory
• Noncommutative waves have infinite propagation speed
• Noncommutative radial waves
• The Phase-Space Noncommutativity Effect on the Large and Small Wavefunction Components Approach at Dirac Equation
• Symplectic Deformations, Non Commutative Scalar Fields and Fractional Quantum Hall Effect
• Domain walls in noncommutative gauge theories, folded D-branes, and communication with mirror world
• Wilson Loops and Area-Preserving Diffeomorphisms in Twisted Noncommutative Gauge Theory
• Obstruction to D-brane topology change
• CP violation, massive neutrinos, and its chiral condensate: new results from Snyder noncommutative geometry
• Holographic Bound in Quantum Field Energy Density and Cosmological Constant
• Emergence of Time from Dimensional Reduction in Noncommutative Geometry
• Non Commutative Field Theories and Integrable Models in 2d
• Landau levels for graphene layers in noncommutative plane
• Deformed "Commutative" Chern - Simons System
• Issues on 3D Noncommutative Electromagnetic Duality
• Soliton Solutions on Noncommutative Orbifold $ T^2/Z_4
• Supersymmetric Nambu$-$Jona-Lasinio Model on $\mathcal{N}=1/2$ four-dimensional Non(anti)commutative Superspace
• Effects of wave propagation in canonical Poisson gauge theory under an external magnetic field
• Multiparticle states in braided lightlike $\kappa$-Minkowski noncommutative QFT
• UV/IR Mixing in Noncommutative Field Theories and Open Closed String Duality
• Influences of the coordinate dependent noncommutative space on charged and spin currents
• Laboratory frame analysis of $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ scattering in the Noncommutative Standard Model
• Past and future blurring at fundamental length scale
• Twist Quantization of String and B Field Background
• Why Renormalizable NonCommutative Quantum Field Theories?
• Non-local Matching Condition and Scale-invariant Spectrum in Bouncing Cosmology
• Emergent 4D Gravity from Matrix Models
• One more step toward the noncommutative brane inflation
• Noncommutative Complex Scalar Field and Casimir Effect
• Strong Field, Noncommutative QED
• Exactly solvable models for 2D correlated fermions
• Dispersion relations for the self-energy in non-commutative field theories
• One-loop renormalization of general noncommutative Yang-Mills field model coupled to scalar and spinor fields
• TeV-photon paradox and space with SU(2) fuzziness
• Perturbative entanglement entropy in nonlocal theories
• MHD waves within Noncommutative Maxwell theory
• Noncommutative momentum and torsional regularization
• Quantitative theory of composite fermions in Bose-Fermi mixtures at $\nu =1$
• Effects of Non-Commutativity on Light-Hydrogen-Like Atoms and Proton Radius
• Gauge theory on a space with linear Lie type fuzziness
• Linear hyperbolic PDEs with non-commutative time
• Algebra of Noncommutative Riemann Surfaces
• Unitarity of noncommutative field theories from string theory
• Path integral action and Chern-Simons quantum mechanics in noncommutative plane
• Revisiting linear stability of black hole odd-parity perturbations in Einstein-Aether gravity
• Entanglement in phase-space distribution for an anisotropic harmonic oscillator in noncommutative space
• Heisenberg Evolution in a Quantum Theory of Noncommutative Fields
• Solitons and Quasielectrons in the Quantum Hall Matrix Model
• Gauging the higher-spin-like symmetries by the Moyal product
• A monopole solution from noncommutative multi-instantons
• Maximal acceleration in a Lorentz invariant non-commutative space-time
• Aspects of Noncommutative Scalar/Tensor Duality
• Momentum gauge fields from curved momentum space through Kaluza-Klein reduction
• Noncommutative Effective LQC: inclusion of potential term
• Covariant bandlimitation from Generalized Uncertainty Principles
• Non-anticommutative Supersymmetric Field Theory and Quantum Shift
• The Stark Effect with Minimum Length
• SU(2)xU(1) non-anticommutative N=2 supersymmetric gauge theory
• Dynamical Mass Generations and Collective Excitations in the (Supersymmetric-)Nambu$-$Jona-Lasinio Model and a Gauge Theory with Left-Right-Asymmetric Majorana Mass Terms
• Spectral theorem in noncommutative field theories: Jacobi dynamics
• Poisson electrodynamics on $\kappa$-Minkowski space-time
• Lifshitz field theories, Snyder noncomutative space-time and momentum dependent metric
• Noncommutative Reissner-Nordstrøm Black hole
• Slavnov-Taylor identities for noncommutative QED${}_4$
• Color Grosse-Wulkenhaar models: One-loop $\beta$-functions
• Spontaneous symmetry breaking and masses numerical results in DFR noncommutative space-time
• Accelerating cosmologies in an integrable model with noncommutative minisuperspace variables
• Speed addition and closed time cycle in Lorentz-non-invariant theories
• Gauge Field Theory on the E_q(2)-covariant Plane
• Noncommutative Lagrange Mechanics
• Non-Commutative (Softly Broken) Supersymmetric Yang-Mills-Chern-Simons
• The E(2) Particle
• Lorentz invariant supersymmetric mechanism for non(anti)commutative deformations of space-time geometry
• Conserved symmetries in noncommutative quantum mechanics
• Deformation quantization of noncommutative quantum mechanics and dissipation
• Localization and diffusion in polymer quantum field theory
• On Semi-classical Degravitation and the Cosmological Constant Problems
• Interacting Relativistic Particle: Time-Space Noncommutativity And Symmetries
• Voros product and the Pauli principle at low energies
• Vortex solutions in the noncommutative torus
• Non-commutativity in polar coordinates
• Noncommutative Reissner-Nordström black hole from noncommutative charged scalar field
• Integral representations of the star product corresponding to the $s$-ordering of the creation and annihilation operators
• Bogomolny equations for vortices in the noncommutative torus
• $\mathcal{S}$-Matrix of Nonlocal Scalar Quantum Field Theory in the Representation of Basis Functions
• Local Currents for a Deformed Algebra of Quantum Mechanics with a Fundamental Length Scale
• Noncommutativity and relativity
• Entanglement entropy and edge modes in topological string theory: I
• Symmetries of field theories on the non-commutative plane
• Quantum Field, Thermodynamics and Black Hole on Coherent State Representation of Fuzzy Space
• Gravitational energy of a noncommutative Vaidya black hole
• Newtonian cosmology and Evolution of kappa-deformed universe
• Effective Potential on Fuzzy Sphere
• Two-particle system in Coulomb potential for twist-deformed space-time
• Symmetries, Microcausality and Physics on Canonical Noncommutative Spacetime
• Coulomb Potential of a Point Mass in Theta Noncommutative Geometry
• Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach
• PCT Theorem in Field Theory on Noncommutative Space
• $U(N)$ Yang-Mills in non-commutative space time
• Holographic flavor in theories with eight supercharges
• Non-relativistic Matrix Inflation
• Non-commutative dynamics and roton-like spectra in bosonic and fermionic condensates
• Correlation functions and renormalization in a scalar field theory on the fuzzy sphere
• Space-time noncommutativity with a bifermionic parameter
• Localization at threshold in noncommutative space
• Matrix Effective Theories of the Fractional Quantum Hall effect
• Noncommutative Spherically Symmetric Spaces
• The Fuzzy Sphere: From The Uncertainty Relation To The Stereographic Projection
• A Noncommutative Deformation of Topological Field Theory
• Central force problem in space with SU(2) Poisson structure
• Invariant star-products on S^2 and the canonical trace
• Harmonic oscillator in twisted Moyal plane: eigenvalue problem and relevant properties
• Higgs $p_t$ distribution in Higgs + jet production at hadron colliders within the noncommutative effective standard model
• Pinhole interference in three-dimensional fuzzy space
• One-loop effects in a self-dual planar noncommutative theory
• One-loop $\beta$ function of noncommutative scalar $QE{D}_4$
• Noncommutativity and Duality through the Symplectic Embedding Formalism
• Noncommutativity and nonassociativity of type II superstring with coordinate dependent RR field -- the general case
• Renormalization of the commutative scalar theory with harmonic term to all orders
• Matrix Models, Emergent Gravity, and Gauge Theory
• Particle on a torus knot: a Hamiltonian analysis
• Noncommutative Sprott systems and their jerk dynamics
• Amplitudes With Different Helicity Configurations Of Noncommutative QED
• Non-anticommutative solitons
• A conceptual problem for non-commutative inflation and the new approach for non-relativistic inflationary equation of state
• Plane waves in noncommutative fluids
• Quantum Error Correction in the Lowest Landau Level
• Quantum information aspects of noncommutative quantum mechanics
• Matrix Quantum Mechanics and Soliton Regularization of Noncommutative Field Theory
• How does Casimir energy fall in $\kappa$-deformed space-time?
• Topological Charge of ADHM Instanton on R^2_{NC}*R^2
• Backward Compton Scattering and QED with Noncommutative Plane in the Strong Uniform Magnetic Field
• Strict deformations of quantum field theory in de Sitter spacetime
• All-Loop Renormalizable Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace
• On Consistency Of Noncommutative Chern-Simons Theory
• Broken symmetry states in bilayer graphene in electric and in-plane magnetic fields
• The Fuzzy Sphere: Star Product Induced From Generalized Squeezed States
• Comments on noncommutative quantum mechanical systems associated with Lie algebras
• On plane wave and vortex-like solutions of noncommutative Maxwell-Chern-Simons theory
• The spectrum of low spin mesons at finite temperature in holographic noncommutative QCD
• A New Interpretation of the Seiberg Witten Map
• Quantum BRST charge and OSp(1|8) superalgebra of twistor-like p-branes with exotic supersymmetry and Weyl symmetry
• Renormalization of the energy-momentum tensor in noncommutative complex scalar field theory
• 2T Physics, Scale Invariance and Topological Vector Fields
• Fuzzy Algebrae of the General Kaehler Coset Space G/H\otimesU(1)^k
• Unruh-Fulling effect in nonlocal field theory: The role of Unruh decomposition
• Exact Wavefunction in a Noncommutative Dipole Field Theory
• Anomaly cancellation in three-dimensional noncommutative gauge theories
• Entanglement and separability in the noncommutative phase-space scenario
• Gauge-invariant extensions of the Proca model in a noncommutative space-time
• Noncommutative Baby Skyrmions
• Nonlinear Lifshitz Photon Theory in Condensed Matter Systems
• Regularization ambiguity and van der Waals black hole in 2+1 dimensions
• Scalar field inflation driven by a modification of the Heisenberg algebra
• Noncommutative Landau problem in graphene: a gauge-invariant analysis with the Seiberg-Witten map
• Modified gauge unfixing formalism and gauge symmetries in the non-commutative chiral bosons theory
• How strings can explain regular black holes
• Regularization of Kepler Problem in $\kappa$-spacetime
• Constraints, gauge symmetries, and noncommutative gravity in two dimensions
• Azimuthal polarization of polarized top quark in noncommutative standard model
• Gauge invariance and classical dynamics of noncommutative particle theory
• Scattering of Noncommutative Waves and Solitons in a Supersymmetric Chiral Model in 2+1 Dimensions
• Neutron Star in Quantized-space-time
• Holographic flavor in the gauge/gravity duality
• Matter-gravity coupling for fuzzy geometry and the Landau-Hall problem
• Quantum Klein Space and Superspace
• Twisted Conformal Field Theories and Morita equivalence
• Constrained Dynamics of an Anomalous $(g/neq2)$ Relativistic Spinning Particle in Electromagnetic Background
• Noncommutative cosmological models induced by a symplectic formalism coupled to phantom fluids
• Semiclassical Droplet States in Matrix Quantum Hall Effect
• Microcausality of spin-induced noncommutative theories
• Non-commutative coordinates from quantum gravity
• Quantum dot with spin-orbit interaction in noncommutative phase space and analog Landau levels
• Nonabelian localization for gauge theory on the fuzzy sphere
• Remarks on Noncommutative Solitons
• One-loop Photon's Effective Action in the Noncommutative Scalar QED${}_3$
• Effective Field Theory of a Locally Noncommutative Space-Time and Extra Dimensions
• Phase space curvature in spin-orbit coupled ultracold atom systems
• Baryon number current in holographic noncommutative QCD
• Path-integral action of a particle in the noncommutative phase-space
• Solitons in a Grassmannian sigma-model Coupled to Chern-Simons Term
• Paired quantum Hall states on noncommutative two-tori
• Noncommutative Nonlinear Sigma Models and Integrability
• Lie Particle And Its Batalin-Tyutin Extension
• Wormhole Solutions in deformed space-time
• About the self-dual Chern-Simons system and Toda field theories on the noncommutative plane
• A Fuzzy Sphere Journey in Critical Phenomena
• Flux-Tube Formation and Holographic Tunneling
• Imprints of non-commutativity on charged black holes
• Big Bang Nucleosynthesis constraints on space-time noncommutativity
• Radiative corrections to the Chern-Simons term at finite temperature in the noncommutative Chern-Simons-Higgs model
• Commutative deformations of general relativity: nonlocality, causality, and dark matter
• Non-Commutative Extensions of the Standard Model
• Observation of Ultra Fine Structures in Energy Levels of Prolate Nuclei
• Bianchi type I cyclic cosmology from Lie-algebraically deformed phase space
• High-Energy Scattering in Non-Commutative Field Theory
• Exotic Particles and Generalized Maxwell theory on Fuzzy Two-Sphere
• Special Geometries Emerging from Yang-Mills Type Matrix Models
• Strings and Noncommutativity
• The coordinate coherent states approach revisited
• Automorphisms of associative algebras and noncommutative geometry
• T-Minkowski noncommutative spacetimes I: Poincaré groups, differential calculi and braiding
• Two-dimensional Noncommutative atom Gas with Anandan interaction
• Quantum harmonic oscillator in a time dependent noncommutative background
• Energy momentum tensor for translation invariant renormalizable noncommutative field theory
• Twisted SUSY: twisted symmetry versus renormalizability
• The Angular Correlations in Top Quark Decays in Standard Model Extensions
• Reconstruction of universal Drinfeld twists from representations
• Particle Dynamics and Lie-algebraic type of Non-commutativity of space-time
• Global Space-Time Symmetries of Quantized Euclidean and Minkowski Superspaces
• Yang-Mills mass gap at large-N, non-commutative YM theory, topological quantum field theory and hyperfiniteness
• Double Scaling String Theory of QCD in Two Dimensions
• Total momentum and other Noether charges for particles interacting in a quantum spacetime
• Strings, Dipoles and Fuzzy Spheres
• Quantum simulation of quantum mechanical system with spatial noncommutativity
• Dirac equation with a magnetic field in 3D non-commutative phase space
• Search for noncommutative interactions in $\gamma \gamma \to \gamma \gamma$ process at the LHC
• Quantum electrodynamics and the electron self-energy in a deformed space with a minimal length scale
• Photon Defects in Noncommutative Standard Model Candidates
• Exact BPS bound for noncommutative baby Skyrmions
• Quantisation of Lorentz invariant scalar field theory in non-commutative space-time and its consequence
• Seiberg-Witten Map with Lorentz-Invariance and Gauge-Covariant Star Product
• Remarks on the interquark potential in the presence of a minimal length
• Connes spectral distance and nonlocality of generalized noncommutative phase spaces
• On Factorizable S-matrices, Generalized TTbar, and the Hagedorn Transition
• Complex (super)-matrix models with external sources and $q$-ensembles of Chern-Simons and ABJ(M) type
• Puffed Noncommutative Nonabelian Vortices
• Wilson RG of Noncommutative ${\Phi }_4^4$
• Some remarks on Feynman rules for non-commutative gauge theories based on groups $G\ne U(N)$
• Deformations of anti-de Sitter black holes
• Quantized Equations of Motion and Currents in Noncommutative Theories
• Twisted Supersymmetry in a Deformed Wess-Zumino Model in (2+1) Dimensions
• Some considerations on duality concerning kappa-Minkowski spacetime theories
• Three-dimensional noncommutative Yukawa theory: Induced effective action and propagating modes
• Galilei Group with multiple central extension, vorticity and entropy generation: "Exotic" fluid in 3+1-dimensions
• Uncertainty relations for a non-canonical phase-space noncommutative algebra
• Some Features of Scattering Problem in a $\kappa$-Deformed Minkowski Spacetime
• Lie algebraic noncommuting structures from reparametrisation symmetry
• Noncommutative Supergeometry and Quantum Supergroups
• Scalar-graviton interaction in the noncommutative space
• The $q$-linked complex Minkowski space, its real forms and deformed isometry groups
• Noncommutative effects on the fluid dynamics and modifications of the Freidmann equation
• A Kähler Compatible Moyal Deformation of the First Heavenly Equation
• A Note on UV/IR Mixing and Non-Commutative Instanton Calculus
• Discussion on Lorentz Invariance Violation of Non-commutative Field Theory and Neutrino Oscillation
• Noncommutative coherent states and related aspects of Berezin-Toeplitz quantization
• Observable Effects of Quantum Gravity
• Covariant Quantization of BFNC Super Yang-Mills Theories and Supergauge Invariance
• A general relativity formulation for the Doplicher-Fredenhagen-Roberts noncommutative space-time
• New aspects of quantization of Jackiw-Pi model: field-antifield formalism and noncommutativity
• The standard electroweak model in the noncommutative $DFR$ space-time
• A Phase-Space Noncommutative Picture of Nuclear Matter
• Noncommutative Sugawara Construction
• One-Loop Renormalizable Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace
• New parameters of Non-commutativity in Quantum Mechanics
• Eigenvalue problem for radial potentials in space with SU(2) fuzziness
• The Canonical Structure of the Superstring Action
• Algebraic Structure of Dirac Hamiltonians in Non-Commutative Phase Space
• Perturbative Symmetries on Noncommutative Spaces
• Signatures of quantum geometry from exponential corrections to the black hole entropy
• Emergent spacetime from a Berry-inspired dynamical gauge field coupled to electromagnetism
• Dynamics determines geometry
• Haag's Theorem in Noncommutative Quantum Field Theory
• The Lorentz Group, Noncommutative Space-Time, and Nonlinear Electrodynamics in Majorana-Oppenheimer Formalism
• Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative $U(1)$ gauge theory
• A noncommutative geometric approach to the quantum structure of spacetime
• The harmonic oscillator on the Moyal-Groenewold plane: an approach via Lie groups and twisted Weyl tuples
• Time dependent transitions with time-space noncommutativity & its implications in Quantum Optics
• Non-commutative correction of ideal gas thermodynamics
• A Family of Non-commutative geometries
• Symplectic Fluctuations for Electromagnetic Excitations of Hall Droplets
• Fermion liquids as quantum Hall liquids in phase space: A unified approach for anomalies and responses
• Non-commutative effective field theory of the lowest Landau level superfluid
• Thermostatistical analysis and negative heat capacities of Yukawa and Lee-Wick potentials in noncommutative phase spaces
• Formal developments in curved momentum space: the quantum field theory roadmap
• Noncommutative information is revealed from the static detector outside the black hole
• Noncommutative Extension of Minkowski Spacetime and Its Primary Application
• Deformed Kac-Moody Algebra and Noncommutative Fermi Theory in Two-Dimensions
• Meson spectrum in the large $N$ limit
• Noncommutative Regularization In Gauge Theories
• Towards an Axiomatic Formulation of Noncommutative Quantum Field Theory. II
• Extended Conformal Algebra and Non-commutative Geometry in Particle Theory
• Fermions Coupled to Emergent Noncommutative Gravity
• Chiral Spin Noncommutative Space and Anomalous Dipole Moments
• Zitterbewegung in Noncommutative Geometry
• Local and Nonlocal Thermal Field Theory
• Supersymmetry breaking in noncommutative quantum mechanics
• Twist deformations of Newtonian Schwarzschild-(Anti-)de Sitter classical system
• Noncommutative scalar fields in compact spaces: quantisation and implications
• Remarks on the eigenvalues distributions of D\leq 4 Yang-Mills matrix models
• A Renormalization Program for Systems with Non-Perturbative Conditions
• Matrix Models, Large N Limits and Noncommutative Solitons
• Emergence of longitudinal 7-branes and fuzzy S^4 in compactification scenarios of M(atrix) theory
• D-Branes in Noncommutative Field Theory
• The Slavnov-Taylor Identities for the 2+1 Dimensional Noncommutative CP${}^{N-1}$ Model
• Gauge Theories and Non-Commutative Geometry
• On the equation of motion for test particles in an ambient gravitational field as the Wong equation for a generalized gauge theory
• The condensate <tr(A_μ^{2})> in commutative and noncommutative theories
• Retarded Functions in Noncommutative Theories
• Instantons, Fluxons and Open Gauge String Theory
• Cosmological Constant as Vacuum Energy Density of Quantum Field Theories on Noncommutative Spacetime
• Grand Unification on Noncommutative Spacetime
• General Solution Of Linear Vector Supersymmetry
• Planar field theories with space-dependent noncommutativity
• The Hopf Algebra of Renormalization, Normal Coordinates and Kontsevich Deformation Quantization
• Jost-Lehmann-Dyson Representation, Analyticity in Angle Variable and Upper Bounds in Noncommutative Quantum Field Theory
• Deformation Quantization and Quaternions
• Open strings in Lie groups and associative products
• High Energy Commutators in Particle, String and Membrane Theories
• Dynamics of semiclassical Bloch wave - packets
• Effective Potential and Spontaneous Symmetry Breaking in the Noncommutative phi^6 Model
• Inverse square problem and so(2,1) symmetry in noncommutative space
• Domain walls between gauge theories
• Gauge theory solitons on noncommutative cylinder
• Questioning Newton's second law: What is the structure of equations of motion?
• NC Calabi-Yau Orbifolds in Toric Varieties with Discrete Torsion
• On the Moduli Space of Noncommutative Multi-solitons at Finite Theta
• Non-commutative Field Theory with Twistor-like Coordinates
• Noncommutative real scalar field theory in 2+1 dimensions at finite temperature
• Energy-momentum non-conservation on noncommutative spacetime and the existence of infinite spacetime dimension
• Induced deformation of the canonical structure and UV/IR duality in $(1+1)D$
• A Lie-Algebra model for a noncommutative space time geometry
• A Remark On Field Theories On The Non-Commutative Torus
• Hermitian-Einstein metrics from noncommutative $U\left(1\right)$ instantons
• $\mathcal{O}(\theta )$ Feynman rules for quadrilinear gauge boson couplings in noncommutative standard model
• Velocity-dependent deformations of the energy spectrum of a quantum cavity from Lorentz symmetry violations
• Electromagnetic Dualities on Noncommutative Space-Time and Symplectic Formalisms
• Drinfeld-Manin Instanton and Its Noncommutative Generalization
• Operator Regularization and Large Noncommutative Chern Simons Theory
• Quantum Hall fluids, Laughlin wave functions, and ideals in the Weyl algebra
• Chern-Simons Solitons, Chiral Model, and (affine) Toda Model on Noncommutative Space
• Noncommutative Theories, Seiberg-Witten Map and Gravity
• Some Aspects of Noncommutativity on Real, p-Adic and Adelic Spaces
• dS-AdS structures in the non-commutative Minkowski spaces
• Noncommutative Gauge Theory on the q-Deformed Euclidean Plane
• One-loop Renormalized Coefficient of Noncommutative Supersymmetric Yang-Mills-Chern-Simons Gauge Theories in Three Dimensions
• Perturbation Theory on the Non-Commutative Plane with a Singular Potential
• Noncommutative effective theory of vortices in a complex scalar field
• Stripe formation driven by space noncommutativity in quantum Hall systems
• Dissolving D0-brane into D2-brane with background B-field
• Renormalization Group Flow for Noncommutative Fermi Liquids
• Theories on noncommutative spaces and deformed symmetries
• Holographic backgrounds from D-brane probes
• Primitively divergent diagrams in $\kappa$-deformed scalar field with quartic self-interaction
• Matrix models from localization of five-dimensional supersymmetric noncommutative U(1) gauge theory
• Test of Space-Time Non-Commutativity at the Future Circular Collider
• Energy renormalization and integrability within the massive neutrinos model
• Noncommutative Relativistic U(N) Chern-Simons Solitons
• Nonperturbative deformation of D-brane states by the world sheet noncommutativity
• Bumblebee field in a Topological Framework
• Snyder and their representation with creation and annihilation operators
• Noncommutative Root Space Witt, Ricci Flow, and Poisson Bracket Continual Lie Algebras
• Emergent time crystals from phase-space noncommutative quantum mechanics
• On the energy crisis in noncommutative CP(1) model
• Noncommutative effects in astrophysical objects: a survey
• Deformation quantization for systems with second-class constraints in deformed fermionic phase space
• N=2 supersymmetric radiation damping problem on a noncommutative plane
• A symplectic geometric origin of universal quartic modified dispersion relations
• Gauge Symmetry Breaking in Matrix Models
• Thermodynamics and phase transitions of $\kappa$-deformed Schwarzschild-AdS black holes
• Large N limit of spectral duality in classical integrable systems
• Gravitational-wave constraints on noncommutative spacetime from GW190814
• Noncommutative scalar fields from symplectic deformation
• Charged Dirac fermions with anomalous magnetic moment in the presence of the chiral magnetic effect and of a noncommutative phase space
• From the Schwarzschild Anti de Sitter Black Hole to the Conformal Field Theory
• Curvature, area and Gauss-Bonnet formula of the Moyal sphere
• Dirichlet boundary conditions in a noncommutative theory
• Deformation of Matrix Geometry via Landau Level Evolution
• Cryptohermitian Hamiltonians on graphs. II. Hermitizations
• Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace
• Complexified moduli of non-commutative instantons
• Unruh effect using Doppler shift method in DSR framework
• Electromagnetic Excitations of Hall Systems on Four Dimensional Space
• Deformation Quantization and Quantum Field Theory on Curved Spaces: the Case of Two-Sphere
• Fractional index of Bargmann-Fock space and Landau levels
• Quantum Gravity in Plebanski Formulation
• Construction of the Noncommutative Complex Ball
• Accessing the non-equal-time commutators of a trapped ion
• Lattice oscillator model on noncommutative space: eigenvalues problem for the perturbation theory
• Quantization of Length in Spaces with Position-Dependent Noncommutativity
• Statistical interparticle potential on noncommutative space
• Wick rotation for quantum field theories on degenerate Moyal space(-time)
• Dissipative quantum mechanics and Kondo-like impurities on noncommutative two-tori
• On Schwarzschild black holes in a D-dimensional noncommutative space
• N=1/2 Global SUSY: R-Matrix Approach
• Irreducibility of the set of field operators in Noncommutative Quantum Field Theory
• Dynamic and static properties of Quantum Hall and Harmonic Oscillator systems on the non-commutative plane
• Constraining the deformed dispersion relation with the hydrogen atom 1S-2S transition
• Noncommutative tori, Yang-Mills and string theory
• Quantum Physics in Space
• Uncertainty Relations for the Relativistic Jackiw-Nair Anyon: A First Principles Derivation
• A Twisted ${\mathcal{C}}^{\star }$-algebra formulation of Quantum Cosmology with application to the Bianchi I model
• Noncommutative $\mathcal{N}=2$ Chern-Simons-matter model
• Noncommutative Jackiw-Pi model: One-loop renormalization
• Energy Spectrum and Phase Transition of Superfluid Fermi Gas of Atoms on Noncommutative Space
• A Vector Supersymmetry Killing IR Divergences in Non-Commutative Gauge Theories
• Exorcizing the Landau Ghost in Non Commutative Quantum Field Theory
• Aspects of noncommutativity in field theory, strings and membranes
• Non-commutativity as a measure of inequivalent quantization
• Noncommutative Q-Lumps
• Bose-Fermi Equivalence in Three Dimensional Non-commutative Space-Time