Quantum Field Theory on Noncommutative Spaces

Abstract

A pedagogical and self-contained introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the Weyl-Wigner correspondence, noncommutative Feynman diagrams, UV/IR mixing, noncommutative Yang-Mills theory on infinite space and on the torus, Morita equivalences of noncommutative gauge theories, twisted reduced models, and an in-depth study of the gauge group of noncommutative Yang-Mills theory. Some of the more mathematical ideas and techniques of noncommutative geometry are also briefly explained.

111 pages LaTeX, 6 eps figures; Some material and discussions added for clarity, corrections done, references added; Final version to be published in Physics Reports

References in corpus (23)

• Noncommutative Field Theory
• The quantum structure of spacetime at the Planck scale and quantum fields
• Noncommutative Field Theory and Lorentz Violation
• Review of the Phenomenology of Noncommutative Geometry
• Physical Instances of Noncommuting Coordinates
• Coherent State Induced Star-Product on $R_{\lambda }^3$ and the Fuzzy Sphere
• An Exact Solution to Seiberg-Witten Equation of Noncommutative Gauge Theory
• UV/IR Mixing via Closed Strings and Tachyonic Instabilities
• The Meaning of Infrared Singularities in Noncommutative Gauge Theories
• Geometry of the Gauge Algebra in Noncommutative Yang-Mills Theory
• Wilsonian Renormalization Group and the Non-Commutative IR/UV Connection
• Noncommutative Chiral Gauge Theories on the Lattice with Manifest Star-Gauge Invariance
• Teleparallel Gravity and Dimensional Reductions of Noncommutative Gauge Theory
• Open Strings and Non-commutative Geometry of Branes on Group Manifolds
• Noncommutative o*(N) and usp*(2N) algebras and the corresponding gauge field theories
• On the unitarity of quantum gauge theories on non-commutative spaces
• Superfield Effective Action in the Noncommutative Wess-Zumino Model
• Dynamical Breaking of Supersymmetry in Noncommutative Gauge Theories
• Non-commutative Gross-Neveu model at large N
• Ultra-violet Finite Noncommutative Theories
• g-2 From Noncommutative Geometry
• Ultraviolet properties of noncommutative non-linear sigma-models in two dimensions
• Noncommutative Solitons and the W_{1+\infty} Algebras in Quantum Hall Theory

Cited by in corpus (1116)

• 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
• SU(N) gauge theories at large N
• Fundamentals of the Exact Renormalization Group
• Noncommutative Gravitational Quantum Well
• New concept of relativistic invariance in NC space-time: twisted Poincaré symmetry and its implications
• Emergent spacetime and empirical (in)coherence
• Emergent Geometry and Gravity from Matrix Models: an Introduction
• Spin half fermions with mass dimension one: theory, phenomenology, and dark matter
• Black holes in an ultraviolet complete quantum gravity
• Dark matter: A spin one half fermion field with mass dimension one?
• Quantum Mechanics in Phase Space
• Symmetry, Gravity and Noncommutativity
• General Properties of Noncommutative Field Theories
• Deformed Field Theory on kappa-spacetime
• 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
• Emergent Gravity from Noncommutative Gauge Theory
• Quantum Metrology with Indefinite Causal Order
• Noncommutative Field Theories and Gravity
• Where are ELKO Spinor Fields in Lounesto Spinor Field Classification?
• Exact Solution of Quantum Field Theory on Noncommutative Phase Spaces
• Dynamics with Infinitely Many Derivatives: The Initial Value Problem
• Deformed Special Relativity and Deformed Symmetries in a Canonical Framework
• Comments on noncommutative gravity
• Voros product, Noncommutative Schwarzschild Black Hole and Corrected Area Law
• Classical and quantum mechanics of the nonrelativistic Snyder model
• Noncommutative Geometry and Cosmology
• Entropic force, noncommutative gravity and ungravity
• Parameterized Post-Einsteinian Gravitational Waveforms in Various Modified Theories of Gravity
• Spectrum of Schroedinger field in a noncommutative magnetic monopole
• Membrane Sigma-Models and Quantization of Non-Geometric Flux Backgrounds
• 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
• Topics in Noncommutative Geometry Inspired Physics
• Fock space, quantum fields and kappa-Poincaré symmetries
• Deformed Oscillator Algebras and QFT in $\kappa$-Minkowski Spacetime
• kappa-Minkowski spacetime as the result of Jordanian twist deformation
• Yang-Baxter $\sigma$-models, conformal twists, and noncommutative Yang-Mills theory
• Twisting all the way: from Classical Mechanics to Quantum Fields
• Nonperturbative studies of fuzzy spheres in a matrix model with the Chern-Simons term
• In-vacuo-dispersion features for GRB neutrinos and photons
• Gauge theories on the kappa-Minkowski spacetime
• Statistical physics in deformed spaces with minimal length
• Emergent Gravity and Noncommutative Branes from Yang-Mills Matrix Models
• Dual families of non-commutative quantum systems
• UV/IR Mixing via Closed Strings and Tachyonic Instabilities
• Exact Seiberg-Witten Map, Induced Gravity and Topological Invariants in Noncommutative Field Theories
• Non-geometric backgrounds in string theory
• Scalar Field Theory on Non-commutative Snyder Space-Time
• The Meaning of Infrared Singularities in Noncommutative Gauge Theories
• Towards LHC Physics with Non-local Standard Model
• Casimir Effect in the Presence of Minimal Lengths
• Quantum Black Hole in the Generalized Uncertainty Principle Framework
• A note on the noncommutative correction to gravity
• A comparative review of four formulations of noncommutative quantum mechanics
• Non-Geometric Fluxes, Quasi-Hopf Twist Deformations and Nonassociative Quantum Mechanics
• Two-loop Renormalization for Nonanticommutative N=1/2 Supersymmetric WZ Model
• Noncommutative Self-dual Gravity
• Laboratory tests of Lorentz and CPT symmetry with muons
• Wedge-Local Quantum Fields and Noncommutative Minkowski Space
• A Non-Perturbative Study of Gauge Theory on a Non-Commutative Plane
• Vacuum configurations for renormalizable non-commutative scalar models
• Shadow of a Charged Rotating Non-Commutative Black Hole
• Seiberg-Witten map and Galilean symmetry violation in a non-commutative planar system
• Multifractional theories: an unconventional review
• Double Field Theory on Group Manifolds
• Noncommutative field theory and violation of translation invariance
• Sigma models on quantum computers
• The chiral Hall effect of magnetic skyrmions from a cyclic cohomology approach
• Phase-Space Noncommutativity and the Dirac Equation
• A Lagrangian for DSR Particle and the Role of Noncommutativity
• Position-dependent noncommutativity in quantum mechanics
• Phase diagram and dispersion relation of the non-commutative λϕ^{4} model in d=3
• The Minimal Length and Large Extra Dimensions
• Hawking emission from quantum gravity black holes
• Quantum Theory of Noncommutative Fields
• Quantum field theory on toroidal topology: algebraic structure and applications
• A Realization of the Cohen-Glashow Very Special Relativity
• Chiral non-Fermi Liquids
• Challenge to Macroscopic Probes of Quantum Spacetime Based on Noncommutative Geometry
• Constraining non-commutative space-time from GW150914
• On the Problem of Renormalizability in Non-Commutative Gauge Field Models - A Critical Review
• Cohomological gauge theory, quiver matrix models and Donaldson-Thomas theory
• Covariant Non-Commutative Space-Time
• Twisted Galilean symmetry and the Pauli principle at low energies
• Quantum Gravity, Field Theory and Signatures of Noncommutative Spacetime
• Twisted Noncommutative Field Theory with the Wick-Voros and Moyal Products
• New bounds for Tsallis parameter in a noncommutative phase-space entropic gravity and nonextensive Friedmann equations
• Neutrino oscillations as a novel probe for a minimal length
• Double Field Theory and Membrane Sigma-Models
• Generalized Weyl systems and kappa-Minkowski space
• Noncommutative 3D harmonic oscillator
• Covariant particle statistics and intertwiners of the kappa-deformed Poincare algebra
• Noncommutative field theory with the Wick-Voros product
• A New Formulation of the Initial Value Problem for Nonlocal Theories
• Magnetic fields in noncommutative quantum mechanics
• Twist Symmetry and Gauge Invariance
• Numerical simulations of a non-commutative theory: the scalar model on the fuzzy sphere
• Newton's Second Law in a Noncommutative Space
• IceCube and GRB neutrinos propagating in quantum spacetime
• Non-commutative heat kernel
• Celestial chiral algebras, colour-kinematics duality and integrability
• Fractional and noncommutative spacetimes
• Exact Solution of Noncommutative Field Theory in Background Magnetic Fields
• Phases in noncommutative quantum mechanics on (pseudo)sphere
• Quantum gravity and gravitational-wave astronomy
• Bianchi spacetimes in noncommutative phase-space
• Exact Seiberg-Witten Map and Induced Gravity from Noncommutativity
• Dilaton Cosmology, Noncommutativity and Generalized Uncertainty Principle
• Deformed Reissner--Nordstrom solutions in noncommutative gravity
• Noncommutative field theory on ${\mathbb{R}}_{\lambda }^3$
• Magnetic Backgrounds and Noncommutative Field Theory
• Noncommutative Quantum Mechanics and Seiberg-Witten Map
• Conformal Twists, Yang-Baxter $\sigma$-models & Holographic Noncommutativity
• Gravitational signatures of a non--commutative stable black hole
• Finite Field-Energy and Interparticle Potential in Logarithmic Electrodynamics
• Remarks on nonlinear Electrodynamics
• Integrable Noncommutative Sine-Gordon Model
• On the vacuum states for noncommutative gauge theory
• Translation-invariant models for non-commutative gauge fields
• One-Loop Calculations for a Translation Invariant Non-Commutative Gauge Model
• Thermodynamics of an Evaporating Schwarzschild Black Hole in Noncommutative Space
• Thermodynamics and evaporation of a modified Schwarzschild black hole in a non--commutative gauge theory
• 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
• Covariant cosmological quantum space-time, higher-spin and gravity in the IKKT matrix model
• On The Correspondence Between Noncommuative Field Theory And Gravity
• Noncommutative Topological Theories of Gravity
• Nonassociative geometry in quasi-Hopf representation categories I: Bimodules and their internal homomorphisms
• Thermodynamics of a Bardeen black hole in noncommutative space
• Renormalization of the noncommutative phi^3 model through the Kontsevich model
• Twist and Spin-Statistics Relation in Noncommutative Quantum Field Theory
• Noncommutativity from the symplectic point of view
• Remarks on twisted noncommutative quantum field theory
• Generalized uncertainty principle in Bianchi type I quantum cosmology
• A noncommutative approach to the cosmological constant problem
• Noncommutative Quantum Field Theories
• $\kappa$-Minkowski Spacetime Through Exotic "Oscillator"
• Noncommutative field theories on $R_{\lambda }^3$: Towards UV/IR mixing freedom
• Quantum noncommutative gravity in two dimensions
• Time-Space Noncommutativity in Gravitational Quantum Well scenario
• Thermodynamics and Cosmological Constant of Non-Local Field Theories from p-Adic Strings
• Noncommutative Conformally Coupled Scalar Field Cosmology and its Commutative Counterpart
• Vacuum Birefringence as a Probe of Planck Scale Noncommutativity
• Matrix theory origins of non-geometric fluxes
• Noncommutative Solitons and D-branes
• Noncommutative Burgers Equation
• Lorentz Symmetry Violation of Cosmic Photons
• Emergent Spacetime and The Origin of Gravity
• Non-Commutative U(1) Gauge Theory on R**4 with Oscillator Term and BRST Symmetry
• 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
• Towards an Axiomatic Formulation of Noncommutative Quantum Field Theory
• Cosmic Rays and the Search for a Lorentz Invariance Violation
• Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative Vortices
• Overview of the parametric representation of renormalizable non-commutative field theory
• From Moyal deformations to chiral higher-spin theories and to celestial algebras
• Probing phase-space noncommutativity through quantum beating, missing information and the thermodynamic limit
• S-Duality, Deconstruction and Confinement for a Marginal Deformation of N=4 SUSY Yang-Mills
• Supersonic Velocities in Noncommutative Acoustic Black Holes
• Intrinsic non-commutativity of closed string theory
• Non-Commutative Geometry and Twisted Conformal Symmetry
• Late time acceleration in a deformed phase space model of dilaton cosmology
• Energy-dependent noncommutative quantum mechanics
• Noncommutativity due to spin
• Noncommutative Graphene
• Noncommutative field theory from angular twist
• Towards a Noncommutative Astrophysics
• The fuzzy 4-hyperboloid $H_n^4$ and higher-spin in Yang-Mills matrix models
• Duality symmetry for star products
• Noncommutative Ward's Conjecture and Integrable Systems
• Monte Carlo Simulation of a NC Gauge Theory on The Fuzzy Sphere
• Quantum gauge theories on noncommutative 3-d space
• Generalized Uncertainty Principle and Quantum Electrodynamics
• Constraining noncommutative field theories with holography
• Strings from position-dependent noncommutativity
• Exotic galilean symmetry and non-commutative mechanics
• Quantisation of θ-expanded non-commutative QED
• Local covariant quantum field theory over spectral geometries
• Noncommutative Differential Forms on the kappa-deformed Space
• COW test of the weak equivalence principle: A low-energy window to look into the noncommutative structure of space-time?
• Quantum mechanical path integrals in the first quantised approach to quantum field theory
• Newton's Equation on the kappa space-time and the Kepler problem
• Phase-space noncommutative formulation of Ozawa's uncertainty principle
• Braided quantum field theories and their symmetries
• Tensor Operators in Noncommutative Quantum Mechanics
• Non-commutative field theory and composite Fermi Liquids in some quantum Hall systems
• On the quantum structure of space-time, gravity, and higher spin in matrix models
• Gravitational Aharonov-Bohm effect due to noncommutative BTZ black hole
• Unusual High-Energy Phenomenology of Lorentz-Invariant Noncommutative Field Theories
• $\kappa$-deformed Dirac Equation
• Black holes as random particles: entanglement dynamics in infinite range and matrix models
• The complete one-loop dilatation operator of planar real beta-deformed N=4 SYM theory
• Twisted Hopf symmetries of canonical noncommutative spacetimes and the no-pure-boost principle
• Non-Canonical Phase-Space Noncommutativity and the Kantowski-Sachs singularity for Black Holes
• Noncommutative Instantons in Higher Dimensions, Vortices and Topological K-Cycles
• Noncommutative Field Theory from twisted Fock space
• $\kappa$-Poincaré invariant quantum field theories with KMS weight
• Probing noncommutative theories with quantum optical experiments
• The singularity problem and phase-space noncanonical noncommutativity
• Newton equation for canonical, Lie-algebraic and quadratic deformation of classical space
• Differential structure on kappa-Minkowski space, and kappa-Poincare algebra
• Covariant Field Equations, Gauge Fields and Conservation Laws from Yang-Mills Matrix Models
• Spontaneous Lorentz symmetry-breaking constraints in Kalb-Ramond gravity
• Gauge Theory on Fuzzy S^2 x S^2 and Regularization on Noncommutative R^4
• Effective action and phase transitions of scalar field on the fuzzy sphere
• Anisotropic constant-roll inflation with noncommutative model and swampland conjectures
• The one-loop effective action for quantum electrodynamics on noncomutative space
• Superfield covariant analysis of the divergence structure of noncommutative supersymmetric QED${}_4$
• A Study of stable wormhole solution with non-commutative geometry in the framework of linear $f(R,{\mathcal{L}}_m,T)$ gravity
• Nonplanar Anomalies in Noncommutative Theories and the Green-Schwarz Mechanism
• Noncommutative Field Theory: Numerical Analysis with the Fuzzy Disc
• Noncommutative gauge theory and symmetry breaking in matrix models
• Hamiltonian formalisms and symmetries of the Pais-Uhlenbeck oscillator
• Quantum phase transitions in the noncommutative Dirac Oscillator
• Noncommutativity, generalized uncertainty principle and FRW cosmology
• Twists, realizations and Hopf algebroid structure of kappa-deformed phase space
• Gauge theories on quantum spaces
• The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle
• Noncommutative Geometry and Symplectic Field Theory
• K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist
• Effects of non-commutative geometry on black hole properties
• Commuting Flows and Conservation Laws for Noncommutative Lax Hierarchies
• Conformal Invariance in noncommutative geometry and mutually interacting Snyder Particles
• Energy nonconservation as a link between $f(R,T)$ gravity and noncommutative quantum theory
• Some consequences of a noncommutative space-time structure
• A New Deconstruction of Little String Theory
• Lorentz invariant and supersymmetric interpretation of noncommutative quantum field theory
• Heat kernel and number theory on NC-torus
• On nonanticommutative N=2 sigma-models in two dimensions
• Emergent Geometry and Quantum Gravity
• Noncommutative analogue Aharonov-Bohm effect and superresonance
• Effects of Noncommutativity on the Black Hole Entropy
• Cosmological Time Crystal: Cyclic Universe with a small $\Lambda$ in a toy model approach
• Inertial spin Hall effect in noncommutative space
• Cosmological space-times with resolved Big Bang in Yang-Mills matrix models
• On the Landau system in noncommutative phase-space
• Gravitational Collapse of a Homogeneous Scalar Field in Deformed Phase Space
• On the finiteness of noncommutative supersymmetric QED${}_3$ in the covariant superfield formulation
• Numerical Results for U(1) Gauge Theory on 2d and 4d Non-Commutative Spaces
• Time-dependent Aharonov-Bohm effect on the noncommutative space
• Star product algebras of test functions
• The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios
• Noncommutative gauge theories on ${\mathbb{R}}_{\theta }^2$ as matrix models
• Noncommutativity and theta-locality
• Classical dynamics on curved Snyder space
• Violation of the Robertson-Schrödinger uncertainty principle and non-commutative quantum mechanics
• Influence of a Minimal Length on the Creation of Scalar Particles
• Tunneling of massive particles from noncommutative inspired Schwarzschild black hole
• Quantum field theory in generalised Snyder spaces
• Twisted Covariant Noncommutative Self-dual Gravity
• Electrodynamics of a Generalized Charged Particle in Doubly Special Relativity Framework
• Energy Crisis or a New Soliton in the Noncommutative CP(1) Model?
• Particle-like solutions to classical noncommutative gauge theory
• Finite temperature phase transition of a single scalar field on a fuzzy sphere
• A Deformation Quantization Theory for Non-Commutative Quantum Mechanics
• Non-commutative multi-dimensional cosmology
• Natural Cutoffs via Compact Symplectic Manifolds
• Relativistic Thermodynamics with an Invariant Energy Scale
• Point-like sources and the scale of quantum gravity
• Noncommutative Quantum Mechanics and Quantum Cosmology
• Minimal Scales from an Extended Hilbert Space
• String states, loops and effective actions in noncommutative field theory and matrix models
• Open Wilson Lines and Group Theory of Noncommutative Yang-Mills Theory in Two Dimensions
• Quantum mechanics with coordinate dependent noncommutativity
• UV/IR mixing and the Goldstone theorem in noncommutative field theory
• Schwinger Model In Noncommutating Space-Time
• Telltale Traces of U(1) Fields in Noncommutative Standard Model Extensions
• Bosonization in the Noncommutative Plane
• Dynamical symmetries in noncommutative theories
• Dynamical noncommutativity and Noether theorem in twisted phi^*4 theory
• Dispersion Relations in Noncommutative Theories
• Worldline Formalism in Snyder Spaces
• Braided $L_{\infty }$-Algebras, Braided Field Theory and Noncommutative Gravity
• On the Stability of Planetary Circular Orbits in Noncommutative Spaces
• Inflationary Universe in Deformed Phase Space Scenario
• Noncommutative vector bundles over fuzzy CP^N and their covariant derivatives
• On de Sitter Spacetime and String Theory
• Asymptotic freedom for $\lambda {\varphi }_{\star }^4$ QFT in Snyder-de Sitter space
• Thermodynamics on Noncommutative Geometry in Coherent State Formalism
• Matrix Models and D-branes in Twistor String Theory
• Non-commutative relativistic spacetimes and worldlines from 2+1 quantum (anti-)de Sitter groups
• Spinors and Voros star-product for Group Field Theory: First Contact
• Galilean symmetry in noncommutative field theory
• Missing the point in noncommutative geometry
• Noncommutative Electromagnetism As A Large N Gauge Theory
• Tunneling of massive and charged particles from noncommutative Reissner-Nordström black hole
• Heat kernel, effective action and anomalies in noncommutative theories
• On the UV renormalizability of noncommutative field theories
• Nonassociative Snyder phi4 Quantum Field Theory
• Sigma-Model Solitons in the Noncommutative Plane: Construction and Stability Analysis
• Lectures on Matrix Field Theory I
• Matrix Bases for Star Products: a Review
• Curing the UV/IR mixing for field theories with translation-invariant $\star$ products
• Classical mechanics of many particles defined on canonically deformed nonrelativistic space-time
• Noncommutative Dirac and Klein-Gordon oscillators in the background of cosmic string: spectrum and dynamics
• Wigner Oscillators, Twisted Hopf Algebras and Second Quantization
• Comments on Noncommutative ADHM Construction
• Noncommutative QFT and Renormalization
• Duality in Noncommutative Topologically Massive Gauge Field Theory Revisited
• Noncommutative quantum mechanics of a test particle under linearized gravitational waves
• Detecting Noncommutative Phase Space by Aharonov-Bohm Effect
• Exact master equation for a noncommutative Brownian particle
• Noncommutativity, Extra Dimensions, and Power Law Running in the Infrared
• Classical Mechanics on Noncommutative Space with Lie-algebraic Structure
• Interpretation of the Cosmological Constant Problem within the Framework of Generalized Uncertainty Principle
• Notes on Exact Multi-Soliton Solutions of Noncommutative Integrable Hierarchies
• On Reductions of Noncommutative Anti-Self-Dual Yang-Mills Equations
• The $AdS$ particle
• Failure of microcausality in quantum field theory on noncommutative spacetime
• Noncommutative quantum mechanics and Bohm's ontological interpretation
• Moyal multiplier algebras of the test function spaces of type S
• Noncommutative Space Corrections on the Klein-Gordon and Dirac Oscillators Spectra
• Towards A Background Independent Quantum Gravity
• Exact Partition Functions for Gauge Theories on ${\mathbb{R}}_{\lambda }^3$
• Interacting fermions on noncommutative spaces: Exactly solvable quantum field theories in 2n+1 dimensions
• UV and IR quantum-spacetime effects for the Chandrasekhar model
• Classical Noncommutative Electrodynamics with External Source
• Neutrino spin oscillations in gravitational fields in non-commutative Spaces
• Supergravity Dual of Noncommutative N=1 SYM
• Galilean noncommutative gauge theory: symmetries & vortices
• Noncommutative spaces of worldlines
• Non-singular Brans-Dicke collapse in deformed phase space
• Gauge Theories on Deformed Spaces
• Minimal areas from q-deformed oscillator algebras
• Braided Symmetries in Noncommutative Field Theory
• An Interpretation of Noncommutative Field Theory in Terms of a Quantum Shift
• Scale Magnetic Effect in Quantum Electrodynamics and the Wigner-Weyl Formalism
• Duality covariant quantum field theory on noncommutative Minkowski space
• Noncommutative gauge theories on ${\mathbb{R}}_{\lambda }^3$: Perturbatively finite models
• Vortices, Infrared effects and Lorentz Invariance Violation
• TeV Scale Phenomenology of $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ Scattering in the Noncommutative Standard Model with Hybrid Gauge Transformation
• Towards Noncommutative Integrable Equations
• Deformations of quantum field theories on spacetimes with Killing vector fields
• Chern-Simons matrix models, two-dimensional Yang-Mills theory and the Sutherland model
• The Existence and Stability of Noncommutative Scalar Solitons
• Quantum Corrections for Translation-Invariant Renormalizable Non-Commutative Phi^4 Theory
• Quasinormal Modes in Noncommutative Schwarzschild black holes
• q-deformations of two-dimensional Yang-Mills theory: Classification, categorification and refinement
• Dark Energy and String Theory
• Issues of duality on non-commutative manifolds: the {\it non-equivalence} between self-dual and topologically massive models
• Noncommutative relativistic particles
• Interaction of Noncommutative Plane Waves in 2+1 Dimensions
• Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb-Ramond gravity
• Chiral effective potential in $\mathcal{N}=1/2$ non-commutative Wess-Zumino model
• Noncommutative Geometry Inspired Entropic Inflation
• Noncommutative Field Theory on Homogeneous Gravitational Waves
• Seiberg-Witten map and quantum phase effects for neutral Dirac particle on noncommutatiave plane
• The Noncommutative S-Matrix
• U(1) gauge invariant noncommutative Schrödinger theory and gravity
• Quantum Field Theory in a Non-Commutative Space: Theoretical Predictions and Numerical Results on the Fuzzy Sphere
• Relativistic field theories in a magnetic background as noncommutative field theories
• Noncommutative Standard Modelling
• Non-Commutative Geometry from Strings
• Chiral Bosons in Noncommutative Spacetime
• Test of Emergent Gravity
• OSp(1|4) supergravity and its noncommutative extension
• A note about the quantum of area in a non-commutative space
• Lectures on Two-Dimensional Noncommutative Gauge Theory 2: Quantization
• Noncommutative Field Theory from Quantum Mechanical Space-Space Noncommutativity
• Topological Charge of Noncommutative ADHM Instanton
• Thermodynamics of noncommutative high-dimensional AdS black holes with non-Gaussian smeared matter distributions
• Spontaneous Symmetry Breaking in Noncommutative Field Theory
• Noncommutative gauge theories on D-branes in non-geometric backgrounds
• $\kappa$-Minkowski star product in any dimension from symplectic realization
• Response of simple quantum systems to different polarizations of gravitational waves in noncommutative phase-space
• A New Approach to Non-Commutative U(N) Gauge Fields
• Coulomb potential in one dimension with minimal length: A path integral approach
• Normal ordering and noncommutativity in open bosonic strings
• Dynamical Noncommutative Graphene
• Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences
• Closed star product on noncommutative ${\mathbb{R}}^3$ and scalar field dynamics
• Noncommutativity and logarithmic correction to the black hole entropy
• Effect of Minimal lengths on Electron Magnetism
• Space-time non-commutativity tends to create bound states
• The Continuum Phase Diagram of the 2d Non-Commutative lambda phi**4 Model
• Finite axionic electrodynamics from a new noncommutative approach
• Gravity in quantum spacetime
• Stabilization of Compactification Volume In a Noncommutative Mini-Super-Phase-Space
• Noncommutative Maxwell-Chern-Simons theory in three dimensions and its dual
• Symmetry Reduction in Twisted Noncommutative Gravity with Applications to Cosmology and Black Holes
• Noncommutativity and Reparametrisation symmetry
• Uniform order phase and phase diagram of scalar field theory on fuzzy $\mathbb{C}{P}^n$
• Worldline approach to noncommutative field theory
• Four-Dimensional Gravity on a Covariant Noncommutative Space (II)
• Noncommutative cosmological models coupled to a perfect fluid and a cosmological constant
• Constant magnetic field and 2d non-commutative inverted oscillator
• Three-dimensional Lorentz-violating action
• Lattice Perturbation Theory in Noncommutative Geometry and Parity Anomaly in 3D Noncommutative QED
• A squeezed review on coherent states and nonclassicality for non-Hermitian systems with minimal length
• Field theory amplitudes in a space with SU(2) fuzziness
• Duality between Noncommutative Yang-Mills-Chern-Simons and Non-Abelian Self-Dual Models
• Quantum tunneling and spectroscopy of noncommutative inspired Kerr black hole
• Quantum complex scalar fields and noncommutativity
• Fermions and noncommutative theories
• Morita Duality and Noncommutative Wilson Loops in Two Dimensions
• Regularization of Non-commutative SYM by Orbifolds with Discrete Torsion and SL(2,Z) Duality
• Noncommuting Electric Fields and Algebraic Consistency in Noncommutative Gauge theories
• Tests of Quantum Gravity-Induced Non-Locality via Opto-mechanical Experiments
• Embedding Commutative and Noncommutative Theories in the Symplectic Framework
• UV/IR Mixing in Nonassociative Snyder phi^4 Theory
• Quantum-spacetime effects on nonrelativistic Schrödinger evolution
• Locality, Causality and Noncommutative Geometry
• Schwarzschild Geometry Emerging from Matrix Models
• Nondecoupling phenomena in QED in a magnetic field and noncommutative QED
• An Introduction to Noncommutative Physics
• Fuzzy Torus in Matrix Model
• Free q-Deformed Relativistic Wave Equations by Representation Theory
• Particle production induced by a Lorentzian non-commutative spacetime
• Quantum-gravity-induced dual lensing and IceCube neutrinos
• On Lie-algebraic solutions of the type IIB matrix model
• A Non-Commutative Kalb-Ramond Black Hole
• Tensor Coordinates in Noncommutative Mechanics
• Poisson gauge models and Seiberg-Witten map
• On the relation between non-commutative field theories at theta = infinity and large N matrix field theories
• The lowest modes around Gaussian solutions of tensor models and the general relativity
• On the role of twisted statistics in the noncommutative degenerate electron gas
• Scattering of spin 1/2 particles by the 2+1 dimensional noncommutative Aharonov-Bohm potential
• Loop diagrams in space with SU(2) fuzziness
• Noncommutative Extension of AdS-CFT and Holographic Superconductors
• Curvature and Gravity Actions for Matrix Models II: the case of general Poisson structure
• Dynamical noncommutativity
• Resonant-bar detectors of gravitational wave as possible probe of the noncommutative structure of space
• Photon self-interaction on deformed spacetime
• A New Limit for the Non-Commutative Space-Time Parameter
• Microscopic derivation of Dirac composite fermion theory: Aspects of noncommutativity and pairing instabilities
• Normal ordering and boundary conditions in open bosonic strings
• Localization for Yang-Mills Theory on the Fuzzy Sphere
• Seiberg-Witten Map for Superfields on Canonically Deformed N=1, d=4 Superspace
• Classical Solutions of the TEK Model and Noncommutative Instantons in Two Dimensions
• Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole
• Inherent Holography In Fuzzy Spaces and An N-tropic Approach To The Cosmological Constant Problem
• On the triviality of higher derivative thoeries
• Noncommutative Geometry of Super-Jordanian $OS{p}_h(2/1)$ Covariant Quantum Space
• IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem
• On duality of the noncommutative extension of the Maxwell-Chern-Simons model
• Noncommutative Chern-Simons Soliton
• Curvature and Gravity Actions for Matrix Models
• Noncommutativity in quantum cosmology and the Hierarchy problem
• Quantum entanglement in a non-commutative system
• Bound on Noncommutative Standard Model with Hybrid Gauge Transformation via Lepton Flavor Conserving $Z$ Decay
• Galilean symmetry in noncommutative Gravitational Quantum Well
• Noncommutative Geometry and Fluid Dynamics
• Noncommutative Correction to the Aharonov-Bohm Scattering: a Field Theory Approach
• Entanglement Entropy Renormalization for the NC scalar field coupled to classical BTZ geometry
• Noncommutative Solitons and Quasideterminants
• Fractional quantum Hall effect on the two-sphere: a matrix model proposal
• Free field primaries in general dimensions: Counting and construction with rings and modules
• Finite-size corrections to the rotating string and the winding state
• D1-Strings in Large RR 3-Form Flux, Quantum Nambu Geometry and M5-Branes in C-Field
• Free-fall in a uniform gravitational field in non-commutative quantum mechanics
• The adventures of Spacetime
• From scalar fields on quantum spaces to blobbed topological recursion
• Discrete Nonlocal Waves
• Noncommutative U(1) gauge theory from a worldline perspective
• Pauli Oscillator In Noncommutative Space
• The Decay of Unstable Noncommutative Solitons
• On the question of deconfinement in noncommutative Schwinger Model
• A Novel "Magnetic" Field And Its Dual Non-Commutative Phase Space
• Self-quartic interaction for a scalar field in an extended DFR noncommutative spacetime
• Non-commutativity in Hayward spacetime
• The Snyder-de Sitter Scalar ${\phi }_{\star }^4$ Quantum Field Theory in D=2
• Wilsonian Renormalization of Noncommutative Scalar Field Theory
• The One-Plaquette Model Limit of NC Gauge Theory in 2D
• Spacetime and deformations of special relativistic kinematics
• Two-dimensional pauli equation in noncommutative phase-space
• SL(2,C) gravity on noncommutative space with Poisson structure
• Hall viscosity and geometric response in the Chern-Simons matrix model of the Laughlin states
• Fluxes, bundle gerbes and 2-Hilbert spaces
• Seiberg-Witten Map for Superfields on N=(1/2,0) and N=(1/2,1/2) Deformed Superspace
• A New Derivation of the CPT and Spin-Statistics Theorems in Non-Commutative Field Theories
• Noncommutative Geometry and Geometric Phases
• The Supersymmetric (2+1)D Noncommutative $C{P}^{(N-1)}$ Model in the Fundamental Representation
• On space-time noncommutative theories at finite temperature
• One-loop $\beta$ functions of a translation-invariant renormalizable noncommutative scalar model
• Star Product and Invariant Integration for Lie type Noncommutative Spacetimes
• Axial anomaly of QED in a strong magnetic field and noncommutative anomaly
• On the Free Energy of Noncommutative Quantum Electrodynamics at High Temperature
• On the duality of three-dimensional superfield theories
• Noncommutative Two Dimensional BF Model
• $L_{\infty }$-Bootstrap Approach to Non-Commutative Gauge Theories
• Seiberg-Witten map Invariant Scatterings
• Probing Noncommutative Gravity with Gravitational Wave and Binary Pulsar Observations
• On the Three-Dimensional Pauli Equation in Noncommutative Phase-Space
• Footprint of spatial noncommutativity in resonant detectors of gravitational wave
• 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
• Stability Conditions For a Noncommutative Scalar Field Coupled to Gravity
• Konishi Anomaly and Central Extension in N=1/2 Supersymmetry
• Chiral dynamics in QED and QCD in a magnetic background and nonlocal noncommutative field theories
• A new approach to the analysis of a noncommutative Chern-Simons theory
• Kontsevich product and gauge invariance
• Two-dimensional non-commutative Yang-Mills theory: coherent effects in open Wilson line correlators
• The covariant form of the gauge anomaly on noncommutative R2n
• Involutive representations of coordinate algebras and quantum spaces
• On the energy-momentum tensor in Moyal space
• Moving vortices in noncommutative gauge theory
• Noncommutativity and Model Building
• Dirac equation on coordinate dependent noncommutative space-time
• Aspects of finite electrodynamics in D=3 dimensions
• Entanglement wedge cross section for noncommutative Yang-Mills theory
• Seiberg-Witten maps and commutator anomalies in noncommutative electrodynamics
• Spontaneous breaking of translational invariance in non-commutative lambda phi^4 theory in two dimensions
• The coupling of fermions to the three-dimensional noncommutative $C{P}^{N-1}$ model: minimal and supersymmetric extensions
• Tests of Quantum Gravity-Induced Non-Locality: Hamiltonian formulation of a non-local harmonic oscillator
• Noncommutative field gas driven inflation
• Noncommutative Effects in the Black Hole Evaporation in Two Dimensions
• Orbits of particles in noncommutative Schwarzschild spacetime
• Scalar field in the Bianchi I: Non commutative classical and Quantum Cosmology
• A bound on the scale of spacetime noncommutativity from the reheating phase after inflation
• On the Newtonian limit of emergent NC gravity and long-distance corrections
• Noncommutative Thermofield Dynamics
• On the two-dimensional time-dependent anisotropic harmonic oscillator in a magnetic field
• Spontaneous reduction of noncommutative gauge symmetry and model building
• Duality and Braiding in Twisted Quantum Field Theory
• Quantum mechanics in phase space: The Schrödinger and the Moyal representations
• Vacuum energy and the cosmological constant problem in $\kappa$-Poincaré invariant field theories
• Nambu-Goto Strings from SU(N) Born-Infeld model
• Wilson Loops in 2D Noncommutative Euclidean Gauge Theory: 1. Perturbative Expansion
• Running of the Spectral Index in Noncommutative Inflation
• Generalized commutation relations and Non linear momenta theories, a close relationship
• Lowest Landau level theory of the bosonic Jain states
• Matrix model approximations of fuzzy scalar field theories and their phase diagrams
• Tree amplitudes of noncommutative U(N) Yang-Mills Theory
• Noncommutative Particles in Curved Spaces
• Relativistic and nonrelativistic Landau levels for the noncommutative quantum Hall effect with anomalous magnetic moment in a conical Gödel-type spacetime
• Some aspects of quantum mechanics and field theory in a Lorentz invariant noncommutative space
• Instabilities of noncommutative two dimensional BF model
• Effective Field Theory for Noncommutative Spacetime: A Toy Model
• Klein-Gordon theory in noncommutative phase space
• The minimal length uncertainty and the nonextensive thermodynamics
• Lorentz symmetry breaking in the noncommutative Wess-Zumino model: One loop corrections
• Noncommutative Quantization for Noncommutative Field Theory
• Emergent matter from 3d generalised group field theories
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Maxwell-Chern-Simons Theory is Free for Marginally Noncommutative Spacetimes
• Poisson structure on a space with linear SU(2) fuzziness
• Noncommutativity from spectral flow
• Noncommutative Geometry Framework and The Feynman's Proof of Maxwell Equations
• Quantum mechanics on space with SU(2) fuzziness
• Existence of new nonlocal field theory on noncommutative space and spiral flow in renormalization group analysis of matrix models
• Quantum noncommutative multidimensional cosmology
• Divergences in quantum field theory on the noncommutative two-dimensional Minkowski space with Grosse-Wulkenhaar potential
• Perspectives on Quantum Gravity Phenomenology
• Algebraic approach to quantum field theory on a class of noncommutative curved spacetimes
• Probing Noncommutativities of Phase Space by Using Persistent Charged Current and Its Asymmetry
• Gauge and Poincare' Invariant Regularization and Hopf Symmetries
• Noncommutative correction to the entropy of charged BTZ black hole
• Noncommutative Double Scalar Fields in FRW Cosmology as Cosmical Oscillators
• Twisted convolution and Moyal star product of generalized functions
• Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation
• Modelling a Noncommutative Two-Brane
• On the role of Schwinger's SU(2) generators for Simple Harmonic Oscillator in 2D Moyal plane
• $\mathcal{P}\mathcal{T}$-symmetric quantum field theory on the noncommutative spacetime
• Extending general covariance: Moyal-type noncommutative manifolds
• Validity of Goldstone Theorem at Two Loops in Noncommutative U(N) Linear Sigma Model
• Thermofield dynamics and twisted Poincaré symmetry on Moyal space-time
• Thermofield Dynamics for Twisted Poincare-Invariant Field Theories: Wick Theorem and S-matrix
• Time-space noncommutativity and Casimir effect
• Wilson Loops in 2D Noncommutative Euclidean Gauge Theory: 2. 1/θExpansion
• Anomalies in Noncommutative Dipole Field Theories
• Parameter Estimation for Tests of General Relativity with the Astrophysical Stochastic Gravitational Wave Background
• Normal ordering and non(anti)commutativity in open super strings
• Noncommutativity in interpolating string: A study of gauge symmetries in noncommutative framework
• Renormalization group approach to matrix models via noncommutative space
• Thermodynamics of a charged particle in a noncommutative plane in a background magnetic field
• Dirac field on Moyal-Minkowski spacetime and non-commutative potential scattering
• Discrete Symmetries In Lorentz-Invariant Non-Commutative QED
• Classical electrodynamics in a space with spin noncommutativity of coordinates
• Position-dependent mass in strong quantum gravitational background fields
• Derivations of the Moyal Algebra and Noncommutative Gauge Theories
• Loop Equation in Two-dimensional Noncommutative Yang-Mills Theory
• UV/IR Mixing and Anomalies in Noncommutative Gauge Theories
• Finite-matrix formulation of gauge theories on a non-commutative torus with twisted boundary conditions
• Coordinate noncommutativity in strong non-uniform magnetic fields
• Short Distance Physics and Initial State Effects on the CMB Power Spectrum
• A non-associative quaternion scalar field theory
• Thermofield dynamics and Gravity
• On the Plethora of Representations Arising in Noncommutative Quantum Mechanics and An Explicit Construction of Noncommutative 4-tori
• Free-falling test particles in a charged Kalb-Ramond black hole: gravitational Doppler effect and tidal forces
• Cancellation of soft and collinear divergences in noncommutative QED
• A possible method for non-Hermitian and non-$PT$-symmetric Hamiltonian systems
• Ultrahyperfunctional Approach to Non-Commutative Quantum Field Theory
• The Noncommutative Doplicher-Fredenhagen-Roberts-Amorim Space
• The three-dimensional noncommutative Gross-Neveu model
• Dynamical origin of the ${\star }_{\theta }$-noncommutativity in field theory from quantum mechanics
• Three dimensional noncommutative bosonization
• Quantisation of Klein-Gordon field in $\kappa$ space-time: deformed oscillators and Unruh effect
• Aspects of Open-Closed Duality in a Background B-Field
• Predictive description of Planck-scale-induced spacetime fuzziness
• Effective actions, Wilson lines and the IR/UV mixing in noncommutative supersymmetric gauge theories
• The Cutkosky rule of three dimensional noncommutative field theory in Lie algebraic noncommutative spacetime
• Highly Effective Action from Large N Gauge Fields
• Contravariant Gravity on Poisson Manifolds and Einstein Gravity
• Dynamics of O(N) Model in a Strong Magnetic Background Field as a Modified Noncommutative Field Theory
• The BV action of 3D twisted R-Poisson sigma models
• Two-Point Functions on Deformed Spacetime
• Wong's Equations and Charged Relativistic Particles in Non-Commutative Space
• A Noncommutative Version of the Minimal Supersymmetric Standard Model
• Noncommutative Electrodynamics from $SO(2,3{)}_{\star }$ Model of Noncommutative Gravity
• Noncommutative QCD, first-order-in-theta-deformed instantons and 't Hooft vertices
• Violation of Lorentz invariance and dynamical effects in high energy gamma rays
• On the Consistency of Twisted Gauge Theory
• Construction of Noncommutative Instantons in 4k Dimensions
• BPHZ renormalization and its application to non-commutative field theory
• Mirror Symmetry in Emergent Gravity
• Coisotropic Lie bialgebras and complementary dual Poisson homogeneous spaces
• Constrains of Charge-to-Mass Ratios on Noncommutative Phase Space
• Laser intensity effects in noncommutative QED
• A coherent-state-based path integral for quantum mechanics on the Moyal plane
• All noncommutative spaces of $\kappa$-Poincaré geodesics
• On the Renormalization of Non-Commutative Field Theories
• On the Meaning of the String-Inspired Noncommutativity and its Implications
• Supersymmetric Lorentz invariant deformations of superspaces
• Noncommutativity from the string perspective: modification of gravity at a mm without mm sized extra dimensions
• Gauge theories and non-commutative geometry
• Aspects of Open-Closed Duality in a Background B-Field II
• Gauge-Invariant Resummation Formalism and Unitarity in Non-Commutative QED
• Probability of the Standard Model Appearance from a Matrix Model
• On the Physics of the Minimal Length: The Question of Gauge Invariance
• Noncommutative Quantum Cosmology
• Voros product, noncommutative inspired Reissner-Nordstr{ö}m black hole and corrected area law
• Noncommutative Maxwell-Chern-Simons theory (I): One-loop dispersion relation analysis
• Calabi-Yau manifolds from noncommutative Hermitian U(1) instantons
• On Poisson Electrodynamics With Charged Fields
• Thermodynamics on Fuzzy Spacetime
• Numerical results on the Non-commutative λϕ^4 Model
• Instantons on General Noncommutative R^4
• Time dependent solitons of noncommutative Chern-Simons theory coupled to scalar fields
• Path integrals in Snyder space
• Exploring the thermodynamics of non-commutative scalar fields
• On the unitarity of higher-dervative and nonlocal theories
• Quantum noncommutative ABJM theory: first steps
• On Poisson geometries related to noncommutative emergent gravity
• Non-commutative mechanics and Exotic Galilean symmetry
• A Review of Noncommutative Field Theories
• Scalar Solitons on the Fuzzy Sphere
• Noncommutative Universe and Chameleon Field Dynamics
• A New Matrix Model for Noncommutative Field Theory
• Hard Thermal Effects in Noncommutative U(N) Yang-Mills Theory
• Perturbation theory of the space-time non-commutative real scalar field theories
• On Double Gauging of U(1) Symmetry on Noncommutative Space
• Fingerprints of the quantum space-time in time-dependent quantum mechanics: An emergent geometric phase
• Transmogrifying Fuzzy Vortices
• On the algebraic structure of rotationally invariant two-dimensional Hamiltonians on the noncommutative phase space
• Cosmological Power Spectrum in Non-commutative Space-time
• (Non)commutative isotropization in Bianchi I with Barotropic perfect fluid and $\Lambda$ Cosmological
• Canonical formalism and quantization of perturbative sector of higher-derivative theories
• Nonassociative Field Theory on Non-Geometric Spaces
• Canonical analysis of space-time noncommutative theories and gauge symmetries
• Aspects of Twistor Geometry and Supersymmetric Field Theories within Superstring Theory
• Analyticity of the Scattering Amplitude, Causality and High-Energy Bounds in Quantum Field Theory on Noncommutative Space-Time
• Noncommutative Instantons in 4k Dimensions
• The U(1)A anomaly in noncommutative SU(N) theories
• Noncommutative Instantons in Diverse Dimensions
• Statistical mechanics of free particles on space with Lie type noncommutativity
• On the geometry of coset branes
• Heat kernel expansion and induced action for the matrix model Dirac operator
• Orbifold instantons, moment maps and Yang-Mills theory with sources
• Noncommutative deformations of quantum field theories, locality, and causality
• Nonrelativistic Supersymmetry in Noncommutative Space
• Boundaries in the Moyal plane
• Noncommutativity and Lorentz Violation in Relativistic Heavy Ion Collisions
• Remarks on the Formulation of Quantum Mechanics on Noncommutative Phase Spaces
• Area-preserving diffeomorphisms in gauge theory on a non-commutative plane: a lattice study
• Gravitational renormalization of quantum field theory
• UV/IR duality in noncommutative quantum field theory
• Classical electrodynamics on Snyder space
• Failure of microcausality in noncommutative field theories
• Quantum and pseudoclassical descriptions of nonrelativistic spinning particles in noncommutative space
• Towards Noncommutative Fuzzy QED
• Relativistic deformed kinematics: from flat to curved spacetimes
• Noncommutative Fluids
• Gravitational potential of a point mass in a brane world
• On decoherence in noncommutative plane with perpendicular magnetic field
• The Abelian Higgs model and a minimal length in an un-particle scenario
• Isometric Embeddings and Noncommutative Branes in Homogeneous Gravitational Waves
• Twisted invariances of noncommutative gauge theories
• Impact of Supersymmetry on Emergent Geometry in Yang-Mills Matrix Models II
• Noncommutative fluid and Growing Modes of Inhomogeneity in (Newtonian) Cosmology
• First Simulation Results for the Photon in a Non-Commutative Space
• Closedness of orbits in a space with SU(2) Poisson structure
• Aspects of Emergent Symmetries
• Exact Solution of Noncommutative U(1) Gauge Theory in 4-Dimensions
• Canonical, Lie-algebraic and quadratic twist deformations of Galilei group
• Aspects of perturbative quantum field theory on non-commutative spaces
• Pauli equation on noncommutative plane and the Seiberg-Witten map
• Bäcklund Transformations and the Atiyah-Ward ansatz for Noncommutative Anti-Self-Dual Yang-Mills Equations
• Non BPS noncommutative vortices
• Stochastic motion in an expanding noncommutative fluid
• (2+1)D Noncommutative CP${}^{N-1}$ Model
• Higher derivative Chern-Simons extension in the noncommutative QED${}_3$
• Transport equation for the photon Wigner operator in non-commutative QED
• Quantum Spheres for OSp_q(1/2)
• Noncommutative massive Thirring model in three-dimensional spacetime
• Squeezed atom laser for Bose-Einstein condensate with minimal length
• Non-commutative massive unquenched ABJM
• On Dark Energy and Quantum Gravity
• Chiral Symmetry Restoration in Holographic Noncommutative QCD
• Nested Catalan tables and a recurrence relation in noncommutative quantum field theory
• Noncommutative geometry induced by spin effects
• Analytical and numerical analysis of a rotational invariant D=2 harmonic oscillator in the light of different noncommutative phase-space configurations
• Field redefinition invariant Lagrange multiplier formalism
• Quantum and pseudoclassical descriptions of nonrelativistic spinning particles in noncommutative space
• On Non-commutative Geodesic Motion
• Charged shells and elementary particles
• T-Dualities and Doubled Geometry of the Principal Chiral Model
• Extended noncommutative Minkowski spacetimes and hybrid gauge symmetries
• Back Reaction Inhomogeneities in Cosmological Parameter Evolution via Noncommutative Fluid
• Twist for Snyder space
• Faddeev-Jackiw approach of the noncommutative spacetime Podolsky electromagnetic theory
• Gauge invariant energy spectra in 2-dimensional noncommutative quantum mechanics
• Squeezed coherent states for gravitational well in noncommutative space
• Rainbow Rindler metric and Unruh effect
• Batalin-Vilkovisky quantization of fuzzy field theories
• Generalized Niederer's transformation for quantum Pais-Uhlenbeck oscillator
• One loop radiative corrections to the translation-invariant noncommutative Yukawa Theory
• Gauge Theories in Noncommutative Homogeneous Kähler Manifolds
• Path integral action of a particle in a magnetic field in the noncommutative plane and the Aharonov-Bohm effect
• Field theories on $\rho$-deformed Minkowski space-time
• Propagators and Matrix Basis on Noncommutative Minkowski Space
• The Mass Gap of the Space-time and its Shape
• Covariant star product on symplectic and Poisson spacetime manifolds
• Emergent general relativity in the tensor models possessing Gaussian classical solutions
• Twisted Grosse-Wulkenhaar ${\varphi }^{\star 4}$ model: dynamical noncommutativity and Noether currents
• Fermions and noncommutative emergent gravity II: Curved branes in extra dimensions
• Phase space quantization, noncommutativity and the gravitational field
• D-deformed Wess-Zumino model and its renormalizability properties
• On the consequences of twisted Poincare' symmetry upon QFT on Moyal noncommutative spaces
• Translation-Invariant Noncommutative Renormalization
• Stabilization of internal space in noncommutative multidimensional cosmology
• U(2,2) gravity on noncommutative space with symplectic structure
• Quantization and eigenvalue distribution of noncommutative scalar field theory
• Abelian Toda field theories on the noncommutative plane
• Noncommutative Instantons on CP^n
• Induced magnetic moment in noncommutative Chern-Simons scalar QED
• Noncommutative Decrumpling Inflation and Running of the Spectral Index
• Noncommutative Solitons in a Supersymmetric Chiral Model in 2+1 Dimensions
• Noncommutative theories and general coordinate transformations
• On the Effective Action of Noncommutative Yang-Mills Theory
• Noncommutative QCD corrections to the gluonic decays of heavy quarkonia
• Hamiltonian symplectic embedding of the massive noncommutative U(1) Theory
• Background field quantization and non-commutative Maxwell theory
• Cosmological Constant and Noncommutativity: A Newtonian point of view
• Soldering Formalism in Noncommutative Field Theory: A Brief Note
• Fermionic Contributions to the Free Energy of Noncommutative Quantum Electrodynamics at High Temperature
• Cornwall-Jackiw-Tomboulis effective potential for canonical noncommutative field theories
• UV/IR Mixing and Black Hole Thermodynamics
• Renormalization of the energy-momentum tensor in noncommutative scalar field theory
• Gauge theory in deformed N=(1,1) superspace
• Unspeakables and the Epistemological path towards Quantum Gravity
• Gauge Invariance and Noncommutativity
• From noncommutative space-time to quantum relativistic symmetries with fundamental mass parameter
• Emergence of Time from Dimensional Reduction in Noncommutative Geometry
• Wilson Loops and Area-Preserving Diffeomorphisms in Twisted Noncommutative Gauge Theory
• Past and future blurring at fundamental length scale
• Deformed "Commutative" Chern - Simons System
• Quantum gravity and gravitational-wave astronomy
• Noncommutative Complex Scalar Field and Casimir Effect
• Noncommutative Effective LQC: inclusion of potential term
• Symplectic Deformations, Non Commutative Scalar Fields and Fractional Quantum Hall Effect
• Energy corrections due to the noncommutative phase-space of the charged isotropic harmonic oscillator in a uniform magnetic field in 3D
• Twist Quantization of String and B Field Background
• Nonequivalent Seiberg-Witten maps for noncommutative massive U(N) gauge theory
• Dispersion relations for the self-energy in non-commutative field theories
• The Moyal Sphere
• One more step toward the noncommutative brane inflation
• One-loop renormalization of general noncommutative Yang-Mills field model coupled to scalar and spinor fields
• TeV-photon paradox and space with SU(2) fuzziness
• A monopole solution from noncommutative multi-instantons
• Exactly solvable models for 2D correlated fermions
• A Simple Model of Double Dynamics on Lie Groups
• MHD waves within Noncommutative Maxwell theory
• Quantitative theory of composite fermions in Bose-Fermi mixtures at $\nu =1$
• Noncommutative waves have infinite propagation speed
• Maximal acceleration in a Lorentz invariant non-commutative space-time
• Aspects of Noncommutative Scalar/Tensor Duality
• Influences of the coordinate dependent noncommutative space on charged and spin currents
• Noncommutative radial waves
• On the Quantization of Length in Noncommutative Spaces
• Emergent 4D Gravity from Matrix Models
• Holographic Bound in Quantum Field Energy Density and Cosmological Constant
• CP violation, massive neutrinos, and its chiral condensate: new results from Snyder noncommutative geometry
• UV/IR Mixing in Noncommutative Field Theories and Open Closed String Duality
• Non-anticommutative Supersymmetric Field Theory and Quantum Shift
• Canonical Structure of Noncommutative Quantum Mechanics as Constraint System
• Issues on 3D Noncommutative Electromagnetic Duality
• Non Commutative Field Theories and Integrable Models in 2d
• Path integral action and Chern-Simons quantum mechanics in noncommutative plane
• Supersymmetric Nambu$-$Jona-Lasinio Model on $\mathcal{N}=1/2$ four-dimensional Non(anti)commutative Superspace
• Covariant bandlimitation from Generalized Uncertainty Principles
• Multiparticle states in braided lightlike $\kappa$-Minkowski noncommutative QFT
• Entanglement in phase-space distribution for an anisotropic harmonic oscillator in noncommutative space
• Normal ordering and boundary conditions for fermionic string coordinates
• Integral Transforms and $\mathcal{P}\mathcal{T}$-symmetric Hamiltonians
• Landau levels for graphene layers in noncommutative plane
• Lie algebroids, non-associative structures and non-geometric fluxes
• Strong Field, Noncommutative QED
• The Hamiltonian BRST quantization of a noncommutative nonabelian gauge theory and its Seiberg-Witten map
• Effects of wave propagation in canonical Poisson gauge theory under an external magnetic field
• Deformation Quantization: Observable Algebras, States and Representation Theory
• On the question of regular solitons in a Noncommutative Maxwell--Chern--Simons--Higgs model
• Noncommutativity of Space and Rotation of Polarization of Light in a Background Magnetic Field
• Linear hyperbolic PDEs with non-commutative time
• Hom-Lie-Virasoro symmetries in Bloch electron systems and quantum plane in tight binding models
• Gauge theory on a space with linear Lie type fuzziness
• Effects of Non-Commutativity on Light-Hydrogen-Like Atoms and Proton Radius
• Noncommutative Geometry and Deformation Quantization in the Quantum Hall Fluids with Inhomogeneous Magnetic Fields
• Quantum Entanglement of Fermions- Antifermions Pair Creation modes in Non-commutative Bianchi I Space-time
• Unitarity of noncommutative field theories from string theory
• Trace of phase-space noncommutativity in the response of a free particle to linearized gravitational waves
• Color Grosse-Wulkenhaar models: One-loop $\beta$-functions
• Gravitational energy of a noncommutative Vaidya black hole
• Coherent state quantization of angle, time, and more irregular functions and distributions
• Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach
• Voros product and the Pauli principle at low energies
• Probability distribution over some phenomenological models in the matrix model compactified on a torus
• Poisson electrodynamics on $\kappa$-Minkowski space-time
• Dynamical Mass Generations and Collective Excitations in the (Supersymmetric-)Nambu$-$Jona-Lasinio Model and a Gauge Theory with Left-Right-Asymmetric Majorana Mass Terms
• Spontaneous symmetry breaking and masses numerical results in DFR noncommutative space-time
• Noncommutative Solitons
• Central force problem in space with SU(2) Poisson structure
• Accelerating cosmologies in an integrable model with noncommutative minisuperspace variables
• Symmetries of field theories on the non-commutative plane
• Newtonian cosmology and Evolution of kappa-deformed universe
• Non-commutative dynamics and roton-like spectra in bosonic and fermionic condensates
• Non-Commutative (Softly Broken) Supersymmetric Yang-Mills-Chern-Simons
• Two-particle system in Coulomb potential for twist-deformed space-time
• Noncommutative Lagrange Mechanics
• Noncommutative Reissner-Nordström black hole from noncommutative charged scalar field
• Space-time noncommutativity with a bifermionic parameter
• Scalar fields in a non-commutative space
• The Hierarchy Problem: From the Fundamentals to the Frontiers
• Harmonic oscillator in twisted Moyal plane: eigenvalue problem and relevant properties
• Noncommutative scalar field minimally coupled to gravity
• Noncommutative Reissner-Nordstrøm Black hole
• Lifshitz field theories, Snyder noncomutative space-time and momentum dependent metric
• Källén-Lehmann representation of noncommutative quantum electrodynamics
• Geometry of the Non-Compact G(2)
• The E(2) Particle
• Lorentz invariant supersymmetric mechanism for non(anti)commutative deformations of space-time geometry
• Gravity in Extreme Regions Based on Noncommutative Quantization of Teleparallel Gravity
• Conserved symmetries in noncommutative quantum mechanics
• Spectral theorem in noncommutative field theories: Jacobi dynamics
• Composite Structure and Causality
• Slavnov-Taylor identities for noncommutative QED${}_4$
• $U(N)$ Yang-Mills in non-commutative space time
• Speed addition and closed time cycle in Lorentz-non-invariant theories
• Invariant star-products on S^2 and the canonical trace
• Topological Charge of ADHM Instanton on R^2_{NC}*R^2
• Geodesic motion of a test particle around a noncommutative Schwarzchild Anti-de Sitter black hole
• Phase transitions in a ${\Phi }^4$ matrix model on a curved noncommutative space
• Noncommutativity and Duality through the Symplectic Embedding Formalism
• Dynamical generation of mass in the noncommutative supersymmetric Schwinger model
• Microcausality of spin-induced noncommutative theories
• Elastic scattering of electron by a Yukawa potential in non-commutative spacetime
• Quasinormal modes and greybody factor of charged black hole in non-commutative geometry
• Gauge invariance and classical dynamics of noncommutative particle theory
• Moyal product and Generalized Hom-Lie-Virasoro symmetries in Bloch electron systems
• Quantum dot with spin-orbit interaction in noncommutative phase space and analog Landau levels
• Noncommutative Baby Skyrmions
• Kaluza-Klein Pistons with non-Commutative Extra Dimensions
• CMB constraints on noncommutative geometry during inflation
• How does Casimir energy fall in $\kappa$-deformed space-time?
• Could the photon dispersion relation be non-linear ?
• An Arena for Model Building in the Cohen-Glashow Very Special Relativity
• Plane waves in noncommutative fluids
• Neutron Star in Quantized-space-time
• On Consistency Of Noncommutative Chern-Simons Theory
• Scalar field inflation driven by a modification of the Heisenberg algebra
• Superradiance scattering of scalar, electromagnetic, and gravitational fields and thin accretion disk around non-commutating Kerr black hole
• How strings can explain regular black holes
• On the noncommutative eikonal
• Noncommutativity and nonassociativity of type II superstring with coordinate dependent RR field -- the general case
• The spectrum of low spin mesons at finite temperature in holographic noncommutative QCD
• Noncommutative $SO(2,3{)}_{\star }$ Gauge Theory of Gravity
• Magnetic Backgrounds from Generalised Complex Manifolds
• Nonlocal regularisation of noncommutative field theories
• Particle on a torus knot: a Hamiltonian analysis
• Canonical Quantization, Space-Time Noncommutativity and Deformed Symmetries in Field Theory
• Violation of the phase space general covariance as a diffeomorphism anomaly in quantum mechanics
• Renormalization of the energy-momentum tensor in noncommutative complex scalar field theory
• The Noncommutative U(N) Kalb-Ramond Theory
• Matrix Quantum Mechanics and Soliton Regularization of Noncommutative Field Theory
• Gauge-invariant extensions of the Proca model in a noncommutative space-time
• Twisted Conformal Field Theories and Morita equivalence
• Gravitational renormalization of quantum field theory: a "conservative" approach
• Matrix Models, Emergent Gravity, and Gauge Theory
• Strict deformations of quantum field theory in de Sitter spacetime
• Matter-gravity coupling for fuzzy geometry and the Landau-Hall problem
• One-loop $\beta$ function of noncommutative scalar $QE{D}_4$
• The Strong Interaction Model in DFR noncommutative space-time
• Causality in Non-Commutative Quantum Field Theories
• Quantum groups and noncommutative spacetimes with cosmological constant
• Anomaly cancellation in three-dimensional noncommutative gauge theories
• Local Lorentz Transformation and "Lorentz Violation"
• Quantum Klein Space and Superspace
• Noncommutative Sprott systems and their jerk dynamics
• Scattering of Noncommutative Waves and Solitons in a Supersymmetric Chiral Model in 2+1 Dimensions
• Noncommutative cosmological models induced by a symplectic formalism coupled to phantom fluids
• Non-anticommutative solitons
• Constrained Dynamics of an Anomalous $(g/neq2)$ Relativistic Spinning Particle in Electromagnetic Background
• Light Propagation in $\kappa$-Minkowski Space-Time: Gauge Ambiguities and Invariance
• Noncommutative Landau problem in graphene: a gauge-invariant analysis with the Seiberg-Witten map
• Hamiltonian analysis in Lie-Poisson gauge theory
• Baryon number current in holographic noncommutative QCD
• Non-Commutative Extensions of the Standard Model
• Paired quantum Hall states on noncommutative two-tori
• Three-dimensional noncommutative Yukawa theory: Induced effective action and propagating modes
• Translation-Invariant Noncommutative Gauge Theories, Matrix Modeling and Noncommutative Geometry
• Field Theory with Coordinate Dependent Noncommutativity
• Can Effects of a Generalized Uncertainty Principle Appear in Compact Stars?
• Imprints of non-commutativity on charged black holes
• Dirac equation with a magnetic field in 3D non-commutative phase space
• Braided Tensor Products and the Covariance of Quantum Noncommutative Free Fields
• Area Preserving Transformations in Non-commutative Space and NCCS Theory
• Noncommutative Nonlinear Sigma Models and Integrability
• Special Geometries Emerging from Yang-Mills Type Matrix Models
• Seiberg-Witten Map with Lorentz-Invariance and Gauge-Covariant Star Product
• The coordinate coherent states approach revisited
• Quantum simulation of quantum mechanical system with spatial noncommutativity
• Curving Flat Space-Time by Deformation Quantization?
• Remarks on the interquark potential in the presence of a minimal length
• Remarks on the representation theory of the Moyal plane
• Noncommutative spacetime symmetries from covariant quantum mechanics
• Galilei Group with multiple central extension, vorticity and entropy generation: "Exotic" fluid in 3+1-dimensions
• Quantized Equations of Motion and Currents in Noncommutative Theories
• Quantum mechanics of a charged particle in a background magnetic field interacting with linearized gravitational waves
• Signature Change in Noncommutative FRW Cosmology
• Path-integral action of a particle in the noncommutative phase-space
• Global Space-Time Symmetries of Quantized Euclidean and Minkowski Superspaces
• Uncertainty relations for a non-canonical phase-space noncommutative algebra
• Photon Defects in Noncommutative Standard Model Candidates
• Quantum electrodynamics and the electron self-energy in a deformed space with a minimal length scale
• About the self-dual Chern-Simons system and Toda field theories on the noncommutative plane
• Open-String Non-Associativity in an R-flux Background
• Commutative deformations of general relativity: nonlocality, causality, and dark matter
• Complex (super)-matrix models with external sources and $q$-ensembles of Chern-Simons and ABJ(M) type
• Big Bang Nucleosynthesis constraints on space-time noncommutativity
• T-Minkowski noncommutative spacetimes I: Poincaré groups, differential calculi and braiding
• Effective Field Theory of a Locally Noncommutative Space-Time and Extra Dimensions
• Holographic Description of Noncommutative Schwinger Effect
• Double Scaling String Theory of QCD in Two Dimensions
• Energy momentum tensor for translation invariant renormalizable noncommutative field theory
• Reconstruction of universal Drinfeld twists from representations
• The Tensor Track VII: From Quantum Gravity to Artificial Intelligence
• Effective information bounds in modified quantum mechanics
• Lie Particle And Its Batalin-Tyutin Extension
• Pair production of Dirac particles in a d+1-dimensional noncommutative space-time
• Search for noncommutative interactions in $\gamma \gamma \to \gamma \gamma$ process at the LHC
• Strings, Dipoles and Fuzzy Spheres
• Radiative corrections to the Chern-Simons term at finite temperature in the noncommutative Chern-Simons-Higgs model
• Phase space noncommutativity, power-law inflation and quantum cosmology
• Nonabelian localization for gauge theory on the fuzzy sphere
• Generalized twist deformations of Poincare and Galilei quantum groups
• Bianchi type I cyclic cosmology from Lie-algebraically deformed phase space
• Twisted SUSY: twisted symmetry versus renormalizability
• Mass-Gaps and Spin Chains for (Super) Membranes
• Twisted Supersymmetry in a Deformed Wess-Zumino Model in (2+1) Dimensions
• Quantisation of Lorentz invariant scalar field theory in non-commutative space-time and its consequence
• Exact BPS bound for noncommutative baby Skyrmions
• Yang-Mills mass gap at large-N, non-commutative YM theory, topological quantum field theory and hyperfiniteness
• Observation of Ultra Fine Structures in Energy Levels of Prolate Nuclei
• Axisymmetric black hole in a non-commutative gauge theory: classical and quantum gravity effects
• Particle Dynamics and Lie-algebraic type of Non-commutativity of space-time
• Energy-momentum non-conservation on noncommutative spacetime and the existence of infinite spacetime dimension
• Eigenvalue problem for radial potentials in space with SU(2) fuzziness
• Symmetry breaking in nonuniform noncommutative $\lambda {\varphi }^4$ theory at finite temperature
• Probing Kirkwood-Dirac nonpositivity and its operational implications via moments
• A Renormalization Program for Systems with Non-Perturbative Conditions
• The harmonic oscillator on the Moyal-Groenewold plane: an approach via Lie groups and twisted Weyl tuples
• A Kähler Compatible Moyal Deformation of the First Heavenly Equation
• Gauge Fields on Non-Commutative Spaces and Renormalization
• Fermions Coupled to Emergent Noncommutative Gravity
• General Solution Of Linear Vector Supersymmetry
• The Structure of Spacetime and Noncommutative Geometry
• Instantons, Fluxons and Open Gauge String Theory
• On renormalizability of the quantum electrodynamics on noncommutative space
• Quantum gravity inspired nonlocal quantum dynamics preserving the classical limit
• One-Loop Renormalizable Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace
• Algebraic Structure of Dirac Hamiltonians in Non-Commutative Phase Space
• A Note on UV/IR Mixing and Non-Commutative Instanton Calculus
• Perturbative Symmetries on Noncommutative Spaces
• Non-commutative correction of ideal gas thermodynamics
• Scalar-graviton interaction in the noncommutative space
• Noncommutativity and the lightfront
• Green's Functions for Translation Invariant Star Products
• Planar field theories with space-dependent noncommutativity
• Generalized Dirichlet normal ordering in open bosonic strings
• The $q$-linked complex Minkowski space, its real forms and deformed isometry groups
• The standard electroweak model in the noncommutative $DFR$ space-time
• Testing Lorentz Violation Using Propagating UHECRs
• Entropy of black holes, charged probes and noncommutative generalization
• New aspects of quantization of Jackiw-Pi model: field-antifield formalism and noncommutativity
• Fuzzy worldlines with $\kappa$-Poincaré symmetries
• Time dependent transitions with time-space noncommutativity & its implications in Quantum Optics
• Twist deformations of Newtonian Schwarzschild-(Anti-)de Sitter classical system
• Spherically symmetric potential in noncommutative spacetime with a compactified extra dimensions
• Covariant Quantization of BFNC Super Yang-Mills Theories and Supergauge Invariance
• Zitterbewegung in Noncommutative Geometry
• Chiral Spin Noncommutative Space and Anomalous Dipole Moments
• Noncommutative Extension of Minkowski Spacetime and Its Primary Application
• New parameters of Non-commutativity in Quantum Mechanics
• Gravitational Anomalies in Noncommutative Field Theory
• Hermitian-Einstein metrics from noncommutative $U\left(1\right)$ instantons
• Thermostatistical analysis and negative heat capacities of Yukawa and Lee-Wick potentials in noncommutative phase spaces
• Observable Effects of Quantum Gravity
• Noncommutative coherent states and related aspects of Berezin-Toeplitz quantization
• Discussion on Lorentz Invariance Violation of Non-commutative Field Theory and Neutrino Oscillation
• Perturbed nonlinear models from Noncommutativity
• Towards an Axiomatic Formulation of Noncommutative Quantum Field Theory. II
• Effective Potential and Spontaneous Symmetry Breaking in the Noncommutative phi^6 Model
• A general relativity formulation for the Doplicher-Fredenhagen-Roberts noncommutative space-time
• Proof of Atiyah-Singer Index Theorem by Canonical Quantum Mechanics
• A numerical approach to harmonic non-commutative spectral field theory
• Haag's Theorem in Noncommutative Quantum Field Theory
• Noncommutative real scalar field theory in 2+1 dimensions at finite temperature
• Fermion liquids as quantum Hall liquids in phase space: A unified approach for anomalies and responses
• Doubly Quantum Mechanics
• Deformed Kac-Moody Algebra and Noncommutative Fermi Theory in Two-Dimensions
• Noncommutative effects on the fluid dynamics and modifications of the Freidmann equation
• Symplectic Fluctuations for Electromagnetic Excitations of Hall Droplets
• Quantum Galilei group as quantum reference frame transformations
• Matrix Models, Large N Limits and Noncommutative Solitons
• The Slavnov-Taylor Identities for the 2+1 Dimensional Noncommutative CP${}^{N-1}$ Model
• D-Branes in Noncommutative Field Theory
• Generalized symmetries as homotopy Lie algebras
• Reduced Chern-Simons Quiver Theories and Cohomological 3-Algebra Models
• Emergent spacetime from a Berry-inspired dynamical gauge field coupled to electromagnetism
• A Lie-Algebra model for a noncommutative space time geometry
• Gauge Theories and Non-Commutative Geometry
• Noncommutative Relativistic U(N) Chern-Simons Solitons
• Some oscillatory representations of fuzzy conformal group SU(2,2) with positive energy
• Noncommutative effects in astrophysical objects: a survey
• Noncommutative Lightcones from Quantum SO(2,1) Conformal Groups
• Developments on the Jordan-Schwinger construction and contraction for the $s{u}_q(2)$
• Abelian 2+1D Loop Quantum Gravity Coupled to a Scalar Field
• Energy corrections due to the Non-commutative Phase-Space of the Charged Harmonic Oscillator in a constant magnetic field in 3D
• Perturbation Theory on the Non-Commutative Plane with a Singular Potential
• Energy Spectrum and Phase Transition of Superfluid Fermi Gas of Atoms on Noncommutative Space
• Bose-Fermi Equivalence in Three Dimensional Non-commutative Space-Time
• Chern-Simons Solitons, Chiral Model, and (affine) Toda Model on Noncommutative Space
• Operator Regularization and Large Noncommutative Chern Simons Theory
• 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
• Electromagnetic Dualities on Noncommutative Space-Time and Symplectic Formalisms
• Noncommutative Jackiw-Pi model: One-loop renormalization
• Pinpointing Triple Point of Noncommutative Matrix Model with Curvature
• Matrix models from localization of five-dimensional supersymmetric noncommutative U(1) gauge theory
• Gradient expansion of the non-Abelian gauge-covariant Moyal star-product
• Noncommutative Cubic Scalar Field Theory and Tree Level Processes
• Noncommutativity in Configuration Space Induced by A Conjugate Magnetic Field in Phase Space
• A hitchhiker's guide to quantum field theoretic aspects of $\mathcal{N}=4$ SYM theory and its deformations
• On deformed quantum mechanical schemes and $\star$-value equations based on the space-space noncommutative Heisenberg-Weyl group
• Wick rotation for quantum field theories on degenerate Moyal space(-time)
• Hopf Algebras in Deformed Quantum Theories
• Energy renormalization and integrability within the massive neutrinos model
• Noncommutative scalar fields from symplectic deformation
• Non-commutative geometry and exactly solvable systems
• Dissolving D0-brane into D2-brane with background B-field
• Noncommutative Theories, Seiberg-Witten Map and Gravity
• Lattice oscillator model on noncommutative space: eigenvalues problem for the perturbation theory
• Eigenvalue-flipping Algorithm for Matrix Monte Carlo
• Non-abelian gauge symmetry for fields in phase space: a realization of the Seiberg-Witten non-abelian gauge theory
• Gauge Symmetry Breaking in Matrix Models
• Beyond Noether: A Covariant Study of Poisson-Lie Symmetries in Low Dimensional Field Theory
• Dissipative quantum mechanics and Kondo-like impurities on noncommutative two-tori
• On the Non-Flatness Nature of Noncommutative Minkowski Spacetime and the Singular Behavior of Probes
• Snyder and their representation with creation and annihilation operators
• Matrix Models of Fuzzy Field Theories
• Noncommutative $\mathcal{N}=2$ Chern-Simons-matter model
• Nonperturbative deformation of D-brane states by the world sheet noncommutativity
• Phenomenological studies in the matrix models
• Some Aspects of Noncommutativity on Real, p-Adic and Adelic Spaces
• LSZ reduction formula in many-dimensional theory with space-space noncommutativity
• One-loop Renormalized Coefficient of Noncommutative Supersymmetric Yang-Mills-Chern-Simons Gauge Theories in Three Dimensions
• Renormalization Group Flow for Noncommutative Fermi Liquids
• Quantization of Length in Spaces with Position-Dependent Noncommutativity
• N=2 supersymmetric radiation damping problem on a noncommutative plane
• On the energy crisis in noncommutative CP(1) model
• Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace
• Aspects of noncommutativity in field theory, strings and membranes
• Dynamic and static properties of Quantum Hall and Harmonic Oscillator systems on the non-commutative plane
• Radiation Reaction in Non-commutative Electrodynamics
• Comments on Noncommutative Field Theories
• Noncommutative Q-Lumps
• Theories on noncommutative spaces and deformed symmetries
• Electromagnetic Excitations of Hall Systems on Four Dimensional Space
• PT-Rotations, PT-Spherical Harmonics and the PT-Hydrogen Atom
• Primitively divergent diagrams in $\kappa$-deformed scalar field with quartic self-interaction
• Uncertainty Relations for the Relativistic Jackiw-Nair Anyon: A First Principles Derivation
• D-branes, gauge/string duality and noncommutative theories
• Extended BRST formulation of a non-commutative U(1) gauge model
• Weyl Mutations in Quiver Yangians
• Short Steps in Noncommutative Geometry
• Quantum Space-Time and Noncommutative Gauge Field Theories
• Test of Space-Time Non-Commutativity at the Future Circular Collider
• Star products on generalised complex manifolds
• Quantum Spacetimes from General Relativity?
• Unruh effect using Doppler shift method in DSR framework
• Irreducibility of the set of field operators in Noncommutative Quantum Field Theory
• N=1/2 Global SUSY: R-Matrix Approach
• Drinfeld-Manin Instanton and Its Noncommutative Generalization
• Construction of the Noncommutative Complex Ball
• Matrix Models, Emergent Spacetime and Symmetry Breaking
• Effect of Noncommutativity of Space-time on Zitterbewegung
• The Photon Dispersion as an Indicator for New Physics ?