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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Cited by in corpus (1388)

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