Noncommutative Perturbative Dynamics

Abstract

We study the perturbative dynamics of noncommutative field theories on R^d, and find an intriguing mixing of the UV and the IR. High energies of virtual particles in loops produce non-analyticity at low momentum. Consequently, the low energy effective action is singular at zero momentum even when the original noncommutative field theory is massive. Some of the nonplanar diagrams of these theories are divergent, but we interpret these divergences as IR divergences and deal with them accordingly. We explain how this UV/IR mixing arises from the underlying noncommutativity. This phenomenon is reminiscent of the channel duality of the double twist diagram in open string theory.

33 pages, 17 figures, harvmac; v2 minor changes

References in corpus (6)

• Magnetic fields, branes and noncommutative geometry
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• On matrix models for anomalous dimensions of super Yang-Mills theory
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• The Renormalization of Non-Commutative Field Theories in the Limit of Large Non-Commutativity
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• Entanglement Entropy Renormalization for the NC scalar field coupled to classical BTZ geometry
• Speeding up the spread of quantum information in chaotic systems
• Weak Gravity Conjecture for Noncommutative Field Theory
• Renormalizability and Phenomenology of theta-expanded Noncommutative Gauge Field Theory
• Wilson line correlators in two-dimensional noncommutative Yang-Mills theory
• Gauge Independence of IR singularities in Non-Commutative QFT - and Interpolating Gauges
• Explicit Derivation of Yang-Mills Self-Dual Solutions on non-Commutative Harmonic Space
• Divergences in Non-Commutative Gauge Theories with the Slavnov Term
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• BRST Quantization of Noncommutative Gauge Theories
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• Photon propagation in noncommutative QED with constant external field
• Matter Chern Simons Theories in a Background Magnetic Field
• Schwinger functions in noncommutative quantum field theory
• Constructions of Non Commutative Instantons on $T^4$ and $K_3$
• Supersymmetry at Large Distance Scales
• Wilsonian Renormalization of Noncommutative Scalar Field Theory
• The One-Plaquette Model Limit of NC Gauge Theory in 2D
• Spectral dimensions and dimension spectra of quantum spacetimes
• From scalar fields on quantum spaces to blobbed topological recursion
• Spacetime and deformations of special relativistic kinematics
• Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions
• Noncommutative U(1) gauge theory from a worldline perspective
• What lattice theorists can do for superstring/M-theory
• Axial anomaly of QED in a strong magnetic field and noncommutative anomaly
• Noncommutative Dipole Field Theories And Unitarity
• Two-dimensional non-commutative Yang-Mills theory: coherent effects in open Wilson line correlators
• Chiral dynamics in QED and QCD in a magnetic background and nonlocal noncommutative field theories
• On the mass spectrum of noncommutative Schwinger model in Euclidean ${\mathbb{R}}^2$ space
• Spectral Noncommutative Geometry, Standard Model and all that
• Unitary Quantum Field Theory on the Noncommutative Minkowski space
• Probability distribution of the index in gauge theory on 2d non-commutative geometry
• Graviton Propagators on Fuzzy G/H
• The covariant form of the gauge anomaly on noncommutative R2n
• The Supersymmetric (2+1)D Noncommutative $C{P}^{(N-1)}$ Model in the Fundamental Representation
• On space-time noncommutative theories at finite temperature
• Asymmetric hermitian matrix models and fuzzy field theory
• Graviton Propagators in Supergravity and Noncommutative Gauge Theory
• On the finiteness of the noncommutative supersymmetric Maxwell-Chern-Simons theory
• Seiberg-Witten map Invariant Scatterings
• Second moment fuzzy-field-theory-like matrix models
• Noncommutative Chern-Simons theory and exotic geometry emerging from the lowest Landau level
• TeV Scale Implications of Non Commutative Space time in Laboratory Frame with Polarized Beams
• On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory
• A bound on the scale of spacetime noncommutativity from the reheating phase after inflation
• On the energy-momentum tensor in Moyal space
• Noncommutativity and Model Building
• Noncommutative Effects in the Black Hole Evaporation in Two Dimensions
• Emergent geometry from random multitrace matrix models
• Matrix model approximations of fuzzy scalar field theories and their phase diagrams
• Discrete Noncommutative Gauge Theory
• Spontaneous reduction of noncommutative gauge symmetry and model building
• Wilson Loops in 2D Noncommutative Euclidean Gauge Theory: 1. Perturbative Expansion
• Entanglement wedge cross section for noncommutative Yang-Mills theory
• The coupling of fermions to the three-dimensional noncommutative $C{P}^{N-1}$ model: minimal and supersymmetric extensions
• A note on the decay of noncommutative solitons
• Quantum aspects of Seiberg-Witten map in noncommutative Chern-Simons theory
• The inclusive b -> s γdecay in the noncommutative standard model
• Canonical Quantization of Noncommutative Field Theory
• Conifold Holography
• Reinterpreting deformed Heisenberg algebras
• O(3) Sigma model with Hopf term on Fuzzy Sphere
• Matrix Models
• Classical Non-Relativistic Fractons
• One-loop Noncommutative U(1) Gauge Theory from Bosonic Worldline Approach
• On the continuity of the commutative limit of the 4d N=4 non-commutative super Yang-Mills theory
• Maxwell-Chern-Simons Theory is Free for Marginally Noncommutative Spacetimes
• Noncommutative Super Yang-Mills Theories with 8 Supercharges and Brane Configurations
• SO(10) GUTs with large tensor representations on Noncommutative Space-time
• Quantum speed limit for a relativistic electron in the noncommutative phase space
• Divergences in quantum field theory on the noncommutative two-dimensional Minkowski space with Grosse-Wulkenhaar potential
• Lorentz symmetry breaking in the noncommutative Wess-Zumino model: One loop corrections
• Ultraviolet Finiteness of the averaged Hamiltonian on the noncommutative Minkowski space
• The Phase of the Scattering Matrix
• Renormalization in a Lorentz-violating model and higher-order operators
• Existence of new nonlocal field theory on noncommutative space and spiral flow in renormalization group analysis of matrix models
• Hamiltonian embedding of the massive noncommutative U(1) theory
• Holographic Dark Energy and Quantum Entanglement
• Detecting scaling in phase transitions on the truncated Heisenberg algebra
• Quantum noncommutative multidimensional cosmology
• On divergent 3-vertices in noncommutative SU(2)gauge theory
• The spectrum of 2+1 dimensional Yang-Mills theory on a twisted spatial torus
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Noncommutative AdS Supergravity in three Dimensions
• Factorization and generalized *-products
• Wilson Loops in 2D Noncommutative Euclidean Gauge Theory: 2. 1/θExpansion
• Infrared cutoffs and the adiabatic limit in noncommutative spacetime
• Aspects of Open-Closed Duality in a Background B-Field
• Transport equation and hard thermal loops in noncommutative Yang-Mills theory
• Renormalization group approach to matrix models via noncommutative space
• Lie-Poisson gauge theories and $\kappa$-Minkowski electrodynamics
• Cancellation of soft and collinear divergences in noncommutative QED
• Translational-invariant noncommutative gauge theory
• Open Wilson Lines as States of Closed String
• The ultraviolet infrared mixing problem on the noncommutative Moyal space
• Holographic unitary renormalization group for correlated electrons -- I: a tensor network approach
• $\mathcal{P}\mathcal{T}$-symmetric quantum field theory on the noncommutative spacetime
• Quantisation of Klein-Gordon field in $\kappa$ space-time: deformed oscillators and Unruh effect
• Thermofield Dynamics for Twisted Poincare-Invariant Field Theories: Wick Theorem and S-matrix
• Wilson Line Correlators in N=4 Non-commutative Gauge Theory on S^2 x S^2
• The three-dimensional noncommutative Gross-Neveu model
• Phenomenological Consequences of Non-commutative QED
• On Internal Consistency of Holographic Dark Energy Models
• Short Distance Physics and Initial State Effects on the CMB Power Spectrum
• UV/IR Mixing and Anomalies in Noncommutative Gauge Theories
• Validity of Goldstone Theorem at Two Loops in Noncommutative U(N) Linear Sigma Model
• Finite-matrix formulation of gauge theories on a non-commutative torus with twisted boundary conditions
• Derivations of the Moyal Algebra and Noncommutative Gauge Theories
• Spontaneous Symmetry Breaking in Twisted Noncommutative Quantum Theories
• Three Questions on Lorentz Violation
• Non-invertible duality and symmetry topological order of one-dimensional lattice models with spatially modulated symmetry
• Scalar Multi-Solitons on the Fuzzy Sphere
• Entanglement entropy in scalar field theory on the fuzzy sphere
• Lagrange multiplier and Wess-Zumino variable as large extra dimensions in the torus universe
• Aspects of Open-Closed Duality in a Background B-Field II
• Gauge-Invariant Resummation Formalism and Unitarity in Non-Commutative QED
• Noncommutative Maxwell-Chern-Simons theory (I): One-loop dispersion relation analysis
• Renormalization on noncommutative torus
• From UV/IR mixing to closed strings
• Instantons on General Noncommutative R^4
• Noncommutativity from the string perspective: modification of gravity at a mm without mm sized extra dimensions
• Two-Point Functions on Deformed Spacetime
• Observations on non-commutative field theories in coordinate space
• Cutting rules and perturbative unitarity of noncommutative electric-type field theories from string theory
• Charged rotating BTZ black holes in noncommutative spaces and torsion gravity
• On Poisson Electrodynamics With Charged Fields
• Noncommutative Electrodynamics from $SO(2,3{)}_{\star }$ Model of Noncommutative Gravity
• Numerical results on the Non-commutative λϕ^4 Model
• Elimination of IR/UV via Gravity in Noncommutative Field Theory
• Intersecting Noncommutative D-branes and Baryons in Magnetic Fields
• Dynamics of O(N) Model in a Strong Magnetic Background Field as a Modified Noncommutative Field Theory
• Noncommutative N=1 super Yang-Mills, the Seiberg-Witten map and UV divergences
• Domain wall solitons and Hopf algebraic translational symmetries in noncommutative field theories
• Tachyon Kinks in Boundary String Field Theory
• On the Meaning of the String-Inspired Noncommutativity and its Implications
• Fundamental physics in space: a Quantum-Gravity perspective
• Asymptotic approach to Special Relativity compatible with a relativistic principle
• Effective actions, Wilson lines and the IR/UV mixing in noncommutative supersymmetric gauge theories
• UV/IR mode mixing and the CMB
• Anatomy of Two-Loop Effective Action in Noncommutative Field Theories
• Supersymmetric non-Abelian noncommutative Chern-Simons theory
• A coherent-state-based path integral for quantum mechanics on the Moyal plane
• UV/IR duality in noncommutative quantum field theory
• Classical transport equation in non-commutative QED at high temperature
• Noncommutative Supersymmetry in Two Dimensions
• A New Matrix Model for Noncommutative Field Theory
• Ultraviolet properties of noncommutative non-linear sigma-models in two dimensions
• The hybrid Seiberg-Witten map, its $\theta$-exact expansion and the antifield formalism
• On UV/IR Mixing via Seiberg-Witten Map for Noncommutative QED
• Intertwining noncommutativity with gravity and particle physics
• Inferring the covariant $\Theta$-exact noncommutative coupling in the top quark pair production at linear colliders
• Dispersion relations in the noncommutative ϕ^3 and Wess-Zumino model in the Yang-Feldman formalism
• Remarks on 't Hooft's Brick Wall Model
• UV/IR mixing as a twisted Poincaré anomaly
• The U(1)A anomaly in noncommutative SU(N) theories
• Noncommutativity and Lorentz Violation in Relativistic Heavy Ion Collisions
• Consistent Anomalies in Translation-Invariant Noncommutative Gauge Theories
• A Review of Noncommutative Field Theories
• Interacting Dipoles from Matrix Formulation of Noncommutative Gauge Theories
• Area-preserving diffeomorphisms in gauge theory on a non-commutative plane: a lattice study
• Scalar modes and the linearized Schwarzschild solution on a quantized FLRW space-time in Yang-Mills matrix models
• Metastring Theory and Modular Space-time
• Perturbation theory of the space-time non-commutative real scalar field theories
• Renormalization footprints in the phase diagram of the Grosse-Wulkenhaar model
• One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative 1/p**2 U(1) Gauge Model
• Non-commutative Geometry from Perturbative Quantum Gravity in de Sitter spacetime
• Analyticity of the Scattering Amplitude, Causality and High-Energy Bounds in Quantum Field Theory on Noncommutative Space-Time
• Aspects of perturbative quantum field theory on non-commutative spaces
• Quantum field theories on noncommutative R^4 versus theta-expanded quantum field theories
• Nilpotent noncommutativity and renormalization
• Recursive Relations For Processes With n Photons Of Noncommutative QED
• Neutrino-electron scattering in noncommutative space
• Quantum and pseudoclassical descriptions of nonrelativistic spinning particles in noncommutative space
• Noncommutative of space-time and the relativistic Hydrogen atom
• Minimal Areas from Entangled Matrices
• Space of non-Fermi liquids
• String modes, propagators and loops on fuzzy spaces
• Quantum instability of gauge theories on $\kappa$-Minkowski space
• Renormalization on the fuzzy sphere
• The Gribov problem in Noncommutative gauge theory
• Aspects of Emergent Symmetries
• Higgs Couplings in NonCommutative Standard Model
• Ambiguities in the Seiberg-Witten Map and Emergent Gravity
• Two-photon annihilation of singlet cold dark matters due to noncommutative space-time
• Noncommutative Two-Dimensional Gauge Theories
• Lehmann-Symanzik-Zimmermann S-Matrix elements on the Moyal Plane
• Magnetic Monopole in Noncommutative Space-Time and Wu-Yang Singularity-Free Gauge Transformations
• Chiral Symmetry Restoration in Holographic Noncommutative QCD
• Noncommutative QED+QCD and $\beta$-function for QED
• Quantum and pseudoclassical descriptions of nonrelativistic spinning particles in noncommutative space
• Towards Noncommutative Fuzzy QED
• First Simulation Results for the Photon in a Non-Commutative Space
• Non-commutative Duality: High Spin Fields and $C{P}^1$ Model with Hopf Term
• Field Theory on a Non-commutative Plane: a Non-Perturbative Study
• (2+1)D Noncommutative CP${}^{N-1}$ Model
• Transport equation for the photon Wigner operator in non-commutative QED
• Duality in non-commutative gauge theories as a non-perturbative Seiberg-Witten map
• High-Temperature Effective Potential of Noncommutative Scalar Field Theory: Reduction of Degree of Freedom by Noncommutativity
• Perturbative ultraviolet and infrared dynamics of noncommutative quantum field theory
• Gauge Theories in Noncommutative Homogeneous Kähler Manifolds
• Twist for Snyder space
• Search for associated production of Higgs with Z boson in the noncommutative Standard Model at linear colliders
• Introduction to a Non-Commutative Version of the Standard Model
• Finite Temperature effects on the Induced Chern-Simons term in noncommutative geometry
• Particle Dynamics And Emergent Gravity
• Fermionic Contributions to the Free Energy of Noncommutative Quantum Electrodynamics at High Temperature
• On Evaluation of Nonplanar Diagrams in Noncommutative Field Theory
• Lax pair and Darboux transformation of noncommutative U(N) principal chiral model
• Induced magnetic moment in noncommutative Chern-Simons scalar QED
• Heat kernel of non-minimal gauge field kinetic operators on Moyal plane
• On the Structure of Noncommutative N=2 Super Yang-Mills Theory
• Quantization and eigenvalue distribution of noncommutative scalar field theory
• Monte Carlo approach to nonperturbative strings -- demonstration in noncritical string theory
• On the consequences of twisted Poincare' symmetry upon QFT on Moyal noncommutative spaces
• Light-Like Noncommutativity, Light-Front Quantization and New Light on UV/IR Mixing
• U(2,2) gravity on noncommutative space with symplectic structure
• Quantum Corrections to Noncommutative Solitons
• Translation-Invariant Noncommutative Renormalization
• The fate of the Wilson-Fisher fixed point in non-commutative ϕ^4
• A Note on Intersecting and Fluctuating Solitons in 4D Noncommutative Field Theory
• Propagators and Matrix Basis on Noncommutative Minkowski Space
• Emergent Area Laws from Entangled Matrices
• Cornwall-Jackiw-Tomboulis effective potential for canonical noncommutative field theories
• Batalin-Vilkovisky quantization of fuzzy field theories
• All-loop finiteness of the two-dimensional noncommutative supersymmetric gauge theory
• UV-IR mixing and the quantum consistency of noncommutative gauge theories
• Renormalization of the energy-momentum tensor in noncommutative scalar field theory
• Gauge Invariance and Noncommutativity
• A note on broken dilatation symmetry in planar noncommutative theory
• A technique for natural gauge boson masses
• Conformal Anomalies in Noncommutative Gauge Theories
• Soldering Formalism in Noncommutative Field Theory: A Brief Note
• One loop radiative corrections to the translation-invariant noncommutative Yukawa Theory
• Dark Energy and Dark Matter in Emergent Gravity
• Photon polarization tensor on deformed spacetime: A four-photon-tadpole contribution
• Perturbative entanglement entropy in nonlocal theories
• Quantized Kähler Geometry and Quantum Gravity
• Black Holes Thermodynamics in a new kind of Noncommutative Geometry
• Fine-tuning problems in quantum field theory and Lorentz invariance: A scalar-fermion model with a physical momentum cutoff
• Perturbative quantization of two-dimensional space-time noncommutative QED
• The Moyal Sphere
• On Low-Energy Effective Action of Noncommutative Hypermultiplet Model
• Noncommutative (supersymmetric) electrodynamics in the Yang-Feldman formalism
• Non Commutative Field Theories and Integrable Models in 2d
• Noncommutative supersymmetric Chern-Simons-matter model
• Blocking up D-branes : Matrix renormalization ?
• Strong Field, Noncommutative QED
• Why Renormalizable NonCommutative Quantum Field Theories?
• Towards UV Finite Quantum Field Theories from Non-Local Field Operators
• Anomalous anomalies from virtual black holes
• Deformed "Commutative" Chern - Simons System
• Superstring vertex operators in type IIB matrix model
• The First Thirty Years of Large-N Gauge Theory
• Noncommutative radial waves
• One-loop renormalization of general noncommutative Yang-Mills field model coupled to scalar and spinor fields
• UV Finite Field Theories on Noncommutative Spacetimes: the Quantum Wick Product and Time Independent Perturbation Theory
• Strong Coupling Phenomena on the Noncommutative Plane
• Laplacians on Fuzzy Riemann Surfaces
• Dispersion relations for the self-energy in non-commutative field theories
• The form factors existing in the b->s g^* decay and the possible CP violating effects in the noncommutative standard model
• UV/IR Mixing in Noncommutative Field Theories and Open Closed String Duality
• Non-local Matching Condition and Scale-invariant Spectrum in Bouncing Cosmology
• Representations of the Renormalization Group as Matrix Lie Algebra
• Noncommutative Time in Quantum Field Theory
• Noncommutative Complex Scalar Field and Casimir Effect
• Soliton Solutions on Noncommutative Orbifold $ T^2/Z_4
• Momentum-space entanglement in scalar field theory on fuzzy spheres
• Technical Remarks and Comments on the UV/IR-Mixing Problem of a Noncommutative Scalar Quantum Field Theory
• Quantum mechanics on non commutative spaces and squeezed states: a functional approach
• PCT Theorem in Field Theory on Noncommutative Space
• Lattice Superstring and Noncommutative Geometry
• Effective Potential on Fuzzy Sphere
• Quantization of a gauge theory on a curved noncommutative space
• IR-Singularities in Noncommutative Perturbative Dynamics?
• One Loop Renormalizability of Spontaneously Broken Gauge Theory with a Product of Gauge Groups on Noncommutative Spacetime: the U(1) x U(1) Case
• Spectral theorem in noncommutative field theories: Jacobi dynamics
• Scalar fields in a non-commutative space
• Entanglement entropy on a fuzzy sphere with a UV cutoff
• Constructive Renormalization of the $2$-dimensional Grosse-Wulkenhaar Model
• $U(N)$ Yang-Mills in non-commutative space time
• The Fuzzy Kaehler Coset Space by the Fedosov Formalism
• Quantized Noncommutative Geometry from Multitrace Matrix Models
• Revisiting NCQED and scattering amplitudes
• Machian fractons, Hamiltonian attractors and non-equilibrium steady states
• Källén-Lehmann representation of noncommutative quantum electrodynamics
• Slavnov-Taylor identities for noncommutative QED${}_4$
• On Semi-classical Degravitation and the Cosmological Constant Problems
• One-loop unitarity of scalar field theories on Poincare invariant commutative nonassociative spacetimes
• Conserved Quantities in Noncommutative Principal Chiral Model with Wess-Zumino Term
• N=1/2 Supersymmetric gauge theory in noncommutative space
• Non-Commutative (Softly Broken) Supersymmetric Yang-Mills-Chern-Simons
• Enveloping algebra Noncommutative SM: Renormalisability and High Energy Physics Phenomenology
• Matrix Models, Emergent Gravity, and Gauge Theory
• Emergent Spacetime and Cosmic Inflation
• Compactified NCOS and duality
• One-loop effects in a self-dual planar noncommutative theory
• Phase transitions in a ${\Phi }^4$ matrix model on a curved noncommutative space
• Study of the photon's pole structure in the noncommutative Schwinger model
• Bound-state gravity from higher derivatives
• Gravitational renormalization of quantum field theory: a "conservative" approach
• Perturbative Algebraic Quantum Field Theory on Quantum Spacetime: Adiabatic and Ultraviolet Convergence
• Perturbative contributions to Wilson loops in twisted lattice boxes and reduced models
• Non-orientable string one-loop corrections in the presence of a B field
• Transplanckian Dispersion Relation and Entanglement Entropy of Blackhole
• Renormalization of the commutative scalar theory with harmonic term to all orders
• Quantum chaos in a weakly-coupled field theory with nonlocality
• Matrix Quantum Mechanics and Soliton Regularization of Noncommutative Field Theory
• Quantum Mechanics on the Hypercube
• Emergent Spacetime: Reality or Illusion?
• Anomaly cancellation in three-dimensional noncommutative gauge theories
• The spectrum of low spin mesons at finite temperature in holographic noncommutative QCD
• Renormalization of the energy-momentum tensor in noncommutative complex scalar field theory
• Jordanian quantum spheres
• Constraints, gauge symmetries, and noncommutative gravity in two dimensions
• Noncommutative Coordinates Invariant under Rotations and Lorentz Transformations
• Local Commutativity and Causality in Interacting PP-wave String Field Theory
• Beyond second-moment approximation in fuzzy-field-theory-like matrix models
• Connes' Gauge Theory on Noncommutative Space-Times
• Noncommutativity and Duality through the Symplectic Embedding Formalism
• An anisotropic hybrid non-perturbative formulation for 4D N = 2 supersymmetric Yang-Mills theories
• Seiberg-Witten map for the 4D noncommutative BF theory
• Wave Propagation and IR/UV Mixing in Noncommutative Spacetimes
• Bianchi type I cyclic cosmology from Lie-algebraically deformed phase space
• On the Correspondence between Poincaré Symmetry of Commutative QFT and Twisted Poincaré Symmetry of Noncommutative QFT
• The Secret Gauging of Flavor Symmetries in Noncommutative QFT
• Non-Anticommutative Quantum Gravity
• Nonequilibrium Dynamics in Noncommutative Spacetime
• Supersymmetric Field Theories on Noncommutative Spaces
• Translation-Invariant Noncommutative Gauge Theories, Matrix Modeling and Noncommutative Geometry
• Complex (super)-matrix models with external sources and $q$-ensembles of Chern-Simons and ABJ(M) type
• High-Energy Scattering in Non-Commutative Field Theory
• Towards quantum Mechanics on the curved cotangent bundle
• Noncommutative Geometry: Fuzzy Spaces, the Groenewold-Moyal Plane
• Some remarks on Feynman rules for non-commutative gauge theories based on groups $G\ne U(N)$
• Search for noncommutative interactions in $\gamma \gamma \to \gamma \gamma$ process at the LHC
• Radiative corrections to the Chern-Simons term at finite temperature in the noncommutative Chern-Simons-Higgs model
• Field theoretic models on covariant quantum spaces
• Non-Relativistic Strings in Expanding Spacetime
• Scherk-Schwarz SUSY Breaking in Noncommutative Field Theory
• Softer Hard Scattering and Noncommutative Gauge-String Duality
• The role of the Seiberg-Witten field redefinition in renormalization of noncommutative chiral electrodynamics
• Phase space noncommutativity, power-law inflation and quantum cosmology
• Non-Commutative Extensions of the Standard Model
• Wilson RG of Noncommutative ${\Phi }_4^4$
• Quantisation of $\kappa$-deformed Dirac equation
• Effective Field Theory of a Locally Noncommutative Space-Time and Extra Dimensions
• Universal terms for holographic entanglement entropy in noncommutative Yang--Mills theory
• Baryon number current in holographic noncommutative QCD
• Bounds on the scale of noncommutativity from mono photon production in ATLAS Runs -1 and -2 experiments at LHC energies
• Three-dimensional noncommutative Yukawa theory: Induced effective action and propagating modes
• Ultraviolet-infrared mixing on the noncommutative Minkowski space in the Yang-Feldman formalism
• Separation of noncommutative differential calculus on quantum Minkowski space
• Noncommutative spacetime geometry and one-loop effects in primordial cosmology
• Non-Commutative Gauge Theories and the Cosmological Constant
• On a noncommutative deformation of the Connes-Kreimer algebra
• Symmetry breaking in nonuniform noncommutative $\lambda {\varphi }^4$ theory at finite temperature
• Photon-neutrino interaction in theta-exact covariant noncommutative model: Phenomenology and Quantum properties*
• Cosmological Constant as Vacuum Energy Density of Quantum Field Theories on Noncommutative Spacetime
• Effective Potential and Spontaneous Symmetry Breaking in the Noncommutative phi^6 Model
• The Seiberg-Witten Map on the Fuzzy Sphere
• On the UV/IR mixing of Lie algebra-type noncommutatitive ${\varphi }^4$-theories
• Non-commutative effective field theory of the lowest Landau level superfluid
• Thermostatistical analysis and negative heat capacities of Yukawa and Lee-Wick potentials in noncommutative phase spaces
• A noncommutative geometric approach to the quantum structure of spacetime
• Deformed Kac-Moody Algebra and Noncommutative Fermi Theory in Two-Dimensions
• Kink properties in Lorentz-violating scalar field theory
• Naturalness as a reasonable scientific principle in fundamental physics
• A Note on UV/IR Mixing and Non-Commutative Instanton Calculus
• Worldline approach to the Grosse-Wulkenhaar model
• Spectral Functions in QFT
• Constructive Renormalization of the 2-dimensional Grosse-Wulkenhaar Model with Multiscale Loop Vertex Expansions
• A coherent state approach to effective potential in noncommutative D=(2+1) models
• Perturbative Symmetries on Noncommutative Spaces
• The Slavnov-Taylor Identities for the 2+1 Dimensional Noncommutative CP${}^{N-1}$ Model
• Fermions Coupled to Emergent Noncommutative Gravity
• Generalized Dirichlet Branes and Zero-modes
• Noncommutative Regularization In Gauge Theories
• Gravitational Anomalies in Noncommutative Field Theory
• Vulcanized Vortex
• Quantization of Noncommutative Scalar Solitons at finite $\theta$
• Non-commutative Field Theory with Twistor-like Coordinates
• Noncommutative real scalar field theory in 2+1 dimensions at finite temperature
• The Structure of Spacetime and Noncommutative Geometry
• The interface of noncommutative geometry and physics
• Green's Functions for Translation Invariant Star Products
• A one-loop test for construction of 4D N=4 SYM from 2D SYM via fuzzy sphere geometry
• Interacting noncommutative solitons (vacua)
• A Remark On Field Theories On The Non-Commutative Torus
• Gauge Fields on Non-Commutative Spaces and Renormalization
• Comment on the Decoupling of UV and IR Divergencies within Dimensional Regularization in Noncommutative Theories
• Nonperturbative evaluation of the partition function for the real scalar quartic QFT on the Moyal plane at weak coupling
• Translation-Invariant Renormalizable Noncommutative Chern-Simons Theory
• A Vector Supersymmetry Killing IR Divergences in Non-Commutative Gauge Theories
• Generalized Faddeev-Popov Method for a Deformed Supersymmetric Yang-Mills Theory
• Striving to find a bridge between noncommutative and generalized entropy parameters in the harmonic oscillator dynamics
• On space-time noncommutative U(1) model at high temperature
• Holographic Subregion Complexity and Fidelity Susceptibility in Noncommutative Yang--Mills Theory
• Comments on Noncommutative Field Theories
• Drinfeld-Manin Instanton and Its Noncommutative Generalization
• A New Non-Commutative Field Theory
• Non-abelian gauge symmetry for fields in phase space: a realization of the Seiberg-Witten non-abelian gauge theory
• Deriving Ontological Statements from the Unnatural Higgs Mass
• Noncommutative $\mathcal{N}=2$ Chern-Simons-matter model
• A regularization of field theory on non-commutative torus
• Some Aspects of Scattering in (Non) Commutative Gauge Theories
• Aspects of noncommutativity in field theory, strings and membranes
• Electromagnetic Dualities on Noncommutative Space-Time and Symplectic Formalisms
• Noncommutative Theories, Seiberg-Witten Map and Gravity
• D-branes, actions effectives et symétrie miroir
• Quantum Space-Time and Noncommutative Gauge Field Theories
• Extended BRST formulation of a non-commutative U(1) gauge model
• Wick rotation for quantum field theories on degenerate Moyal space(-time)
• Noncommutative field theories with harmonic term
• Renormalization Group Flow for Noncommutative Fermi Liquids
• The Photon Dispersion as an Indicator for New Physics ?
• UV/IR mixing in Noncommutative SU(N) Yang-Mills theory