Noncommutative Field Theory and Lorentz Violation

Abstract

The role of Lorentz symmetry in noncommutative field theory is considered. Any realistic noncommutative theory is found to be physically equivalent to a subset of a general Lorentz-violating standard-model extension involving ordinary fields. Some theoretical consequences are discussed. Existing experiments bound the scale of the noncommutativity parameter to (10 TeV)^{-2}.

4 pages

References in corpus (2)

• Stability, Causality, and Lorentz and CPT Violation
• Cross Sections and Lorentz Violation

Cited by in corpus (705)

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• Searching for Effects of Spatial Noncommutativity via Chern-Simons' Processes
• Topological chiral currents in the Gross-Neveu model extension
• Noncommutativity from spectral flow
• Gauge anomalies in Lorentz-violating QED
• Three Questions on Lorentz Violation
• Baryon asymmetry in the Universe resulting from Lorentz violation
• Lorentz violation signatures in the low-energy sector of Hořava gravity from black hole shadow observations
• New Implications of Lorentz Violation
• Decays $Z\to \gamma \gamma$ and $Z\to gg$ in the Standard Model Extension
• Phenomenology of Noncommutative Field Theories
• Thermodynamics of a charged particle in a noncommutative plane in a background magnetic field
• Relativistic Bose-Einstein condensate in the rainbow gravity
• A Projective Interpretation of Some Doubly Special Relativity Theories
• Free-falling test particles in a charged Kalb-Ramond black hole: gravitational Doppler effect and tidal forces
• Optical Appearance and Shadow of Kalb-Ramond Black Hole: Effects of Plasma and Accretion Models
• Do high-energy neutrinos travel faster than photons in a discrete space-time?
• Spontaneous and Explicit Spacetime Symmetry Breaking in Einstein-Cartan Theory with Background Fields
• Short Distance Physics and Initial State Effects on the CMB Power Spectrum
• The static effective action for non-commutative QED at high temperature
• A fundamental length as a candidate for dark energy: a DSR inspired FRW spacetime
• One-loop radiative corrections in bumblebee-Stueckelberg model
• Vaidya Spacetime in Brans-Dicke Gravity's Rainbow
• Critical properties of scalar field theory with Lorentz violation: Exact treatment of Lorentz-violating mechanism
• Constrains of Charge-to-Mass Ratios on Noncommutative Phase Space
• On the analytic generalization of particle deflection in the weak field regime and shadow size in light of EHT constraints for Schwarzschild-like black hole solutions
• Exploring the thermodynamics of non-commutative scalar fields
• On the self-consistency of compact objects in Lorentz-violating gravity theories
• Super-entropy bumblebee AdS black holes
• Laser intensity effects in noncommutative QED
• A cosmological viewpoint on the correspondence between deformed phase-space and canonical quantization
• On the Lorentz symmetry of the noncommutative chiral bosons
• Violation of Lorentz invariance and dynamical effects in high energy gamma rays
• The noncommutative QED threshold energy versus the optimum collision energy
• On the Meaning of the String-Inspired Noncommutativity and its Implications
• Constraining GUP Models Using Limits on SME Coefficients
• Testing Short Distance Anisotropy in Space
• Noncommutative Universe and Chameleon Field Dynamics
• Noncommutativity and Lorentz Violation in Relativistic Heavy Ion Collisions
• Wilson loops in noncommutative Yang-Mills theory using gauge/gravity duality
• Yang-Mills Instantons with Lorentz Violation
• On Non-Commutative Correction of the Gödel-type Metric
• Bounds on higher-order Lorentz-violating photon sector coefficients from an asymmetric optical ring resonator experiment
• Non-commutative Geometry from Perturbative Quantum Gravity in de Sitter spacetime
• Van der Waals Black Holes: Universality, Quantum Corrections, and Topological Classifications
• Theory Overview of Testing Fundamental Symmetries
• Bounds on Lorentz-violating Yukawa couplings via lepton electromagnetic moments
• Inferring the covariant $\Theta$-exact noncommutative coupling in the top quark pair production at linear colliders
• Effective dark energy through spin-gravity coupling
• Probe Noncommutative Space-Time Scale Using $\gamma \gamma \to Z$ At ILC
• On the algebraic structure of rotationally invariant two-dimensional Hamiltonians on the noncommutative phase space
• A Review of Noncommutative Field Theories
• Scalar Casimir effects in a Lorentz violation scenario induced by the presence of constant vectors
• Analyticity of the Scattering Amplitude, Causality and High-Energy Bounds in Quantum Field Theory on Noncommutative Space-Time
• Signatures of noncommutativity in bar detectors of gravitational waves
• Prospects for Lorentz Invariance Violation searches with top pair production at the LHC and future hadron colliders
• The cosmological implications of a fundamental length: a DSR inspired de-Sitter spacetime
• Quantum and pseudoclassical descriptions of nonrelativistic spinning particles in noncommutative space
• Two-photon annihilation of singlet cold dark matters due to noncommutative space-time
• Noncommutative quantum mechanics of simple matter systems interacting with circularly polarized gravitational waves
• Perturbative unitarity and higher-order Lorentz symmetry breaking
• Non-universal relativistic kinematics
• Noncommutative field with constant background fields and neutral fermion
• Cosmological Particle Creation in the Presence of Lorentz Violation
• Field Theory on a Non-commutative Plane: a Non-Perturbative Study
• Quantum and pseudoclassical descriptions of nonrelativistic spinning particles in noncommutative space
• Short-range forces due to Lorentz-symmetry violation
• Modified dispersion relations and a potential explanation of the EDGES anomaly
• Pauli equation on noncommutative plane and the Seiberg-Witten map
• Higgs Couplings in NonCommutative Standard Model
• Particle dynamics and optical appearance of charged spherically symmetric black holes in bumblebee gravity
• Noncommutative geometry induced by spin effects
• Spin-Statistics Violations in Superstring Theory
• On the Klein-Gordon bosonic fields in the Bonnor-Melvin spacetime with a cosmological constant in rainbow gravity: Bonnor-Melvin Domain Walls
• Noncommutative black hole in the Finslerian spacetime
• Lorentz breaking Effective Field Theory and observational tests
• Neutrino-electron scattering in noncommutative space
• Gravitational probe of quantum spacetime
• Klein-Gordon oscillators in traversable wormhole rainbow gravity spacetime: Conditional exact solvability via a throat radius and oscillator frequency correlation
• Back Reaction Inhomogeneities in Cosmological Parameter Evolution via Noncommutative Fluid
• Calculating the jet quenching parameter in the plasma of NCYM theory from gauge/gravity duality
• Lorentz violation in nucleon electromagnetic moments
• Effect of VSR invariant Chern-Simon Lagrangian on photon polarization
• Gravitational time advancement effect in Bumblebee gravity for Earth bound systems
• Path integral action of a particle in a magnetic field in the noncommutative plane and the Aharonov-Bohm effect
• Stabilization of internal space in noncommutative multidimensional cosmology
• Gravitational Quantum Well
• Noncommutative fields in three dimensions and mass generation
• Deformed Two-Mode Quadrature Operators in Noncommutative Space
• Nonlinearly charged dilatonic black holes and their Brans-Dicke counterpart: Energy dependent spacetime
• Noncommutative Brownian motion
• Entropy spectrum of charged BTZ black holes in massive gravity's rainbow
• The Impact of Lorentz Violation on the Klein Tunneling Effect
• Constraints on Lorentz invariance violation from the extraordinary Mrk 421 flare of 2014 using a novel analysis method
• A Field Theoretical Model in Noncommutative Minkowski Superspace
• Strong Field, Noncommutative QED
• Lorentz violation parameters and noncommutative scale
• Deformed "Commutative" Chern - Simons System
• Path integral action and Chern-Simons quantum mechanics in noncommutative plane
• Black Holes Thermodynamics in a new kind of Noncommutative Geometry
• Revisiting linear stability of black hole odd-parity perturbations in Einstein-Aether gravity
• Noncommutativity of Space and Rotation of Polarization of Light in a Background Magnetic Field
• Effects of universal extra dimensions on top-quark electromagnetic interactions
• Hidden Symmetries in Deformed Very Special Relativity
• Observational Constraints on Local Lorentz Invariance
• Energy loss and jet quenching parameter in a thermal non-relativistic, non-commutative Yang-Mills plasma
• Nucleon structure functions in noncommutative space-time
• Effects of wave propagation in canonical Poisson gauge theory under an external magnetic field
• Anomalous anomalies from virtual black holes
• Lorentz-violating extension of scalar QED at finite temperature
• Strong gravitational lensing by black hole in F(R) Euler Heisenberg Gravity's Rainbow
• Probing Lorentz violation effects via a laser beam interacting with a high-energy charged lepton beam
• Gauge-invariant approach to the beta function in Yang-Mills theories with universal extra dimensions
• Cosmological constraints on Lorentz invariance violation in the neutrino sector
• Källén-Lehmann representation of noncommutative quantum electrodynamics
• PCT Theorem in Field Theory on Noncommutative Space
• Non-commutativity in polar coordinates
• Radiative Correction to the Casimir Energy for Lorentz-violating Scalar Field in d+1 Dimensions
• Constant H field, cosmology and faster than light solitons
• Quantum mechanics on non commutative spaces and squeezed states: a functional approach
• Symmetries, Microcausality and Physics on Canonical Noncommutative Spacetime
• Gravitating tensor monopole in a Lorentz-violating field theory
• Klein-Gordon particles in a nonuniform external magnetic field in Bonnor-Melvin rainbow gravity background
• The Uplifting of AdS Type to Quintessence Like Potential Induced by Frozen Large Scale Lorentz Violation
• Re-assessing special aspects of Dirac fermions in presence of Lorentz-symmetry violation
• Enveloping algebra Noncommutative SM: Renormalisability and High Energy Physics Phenomenology
• Stringy Space-Time Foam and High-Energy Cosmic Photons
• Noncommutative scalar field minimally coupled to gravity
• Speed addition and closed time cycle in Lorentz-non-invariant theories
• Nucleosynthesis constraint on Lorentz invariance violation in the neutrino sector
• Primordial gravitational waves from spontaneous Lorentz symmetry breaking
• Relativistic dispersion relation and putative metric structure in noncommutative phase-space
• Rainbow Spacetime from a Nonlocal Gravitational Uncertainty Principle
• The Bounds on Lorentz and CPT Violating Parameters in the Higgs Sector
• Non-abelian vector backgrounds with restored Lorentz invariance
• Trace of phase-space noncommutativity in the response of a free particle to linearized gravitational waves
• Lorentz invariant ensembles of vector backgrounds
• Meson scattering in a Lorentz-violating scalar QED at finite temperature
• Atomic and optical tests of Lorentz symmetry
• Wave function of the Universe, Preferred reference frame effects and metric signature transition
• Testing Lorentz symmetry with space-based gravitational-wave detectors
• Constraints on Hořava-Lifshitz gravity from GRB 170817A
• Theory and Phenomenology of Dirac Leptogenesis
• Lorentz and CPT Tests using Penning Traps
• Kinematics in Matrix Gravity
• Backward Compton Scattering and QED with Noncommutative Plane in the Strong Uniform Magnetic Field
• Testing New Physics in Oscillations at a Neutrino Factory
• Elastic scattering of electron by a Yukawa potential in non-commutative spacetime
• Casimir effect of a rough membrane in an Aether-like Lorentz-violating scenario
• Noncommutative Gravity in Six Dimensions
• 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
• CPT and Lorentz violation as signatures for Planck-scale physics
• Testing Spatial Noncommutativity via Magnetic Hyperfine Structure Induced by Fractional Angular Momentum of Rydberg System
• Noncommutative Landau problem in graphene: a gauge-invariant analysis with the Seiberg-Witten map
• Casimir effect in Very Special Relativity at finite temperature
• Lorentz Violation with Gravitational Waves: Constraints from NANOGrav and IPTA Data
• Quantum mechanics of a charged particle in a background magnetic field interacting with linearized gravitational waves
• New Constraint for Isotropic Lorentz Violation from LHC Data
• Consistency analysis of a CPT-even and CPT-odd lorentz-violating effective field theory in the electrodynamics at Planck scale by an influence of a background isotropic field
• Path-integral action of a particle in the noncommutative phase-space
• On the Lorentz symmetry in conformally reduced Quantum Gravity
• Commutative deformations of general relativity: nonlocality, causality, and dark matter
• Looking beyond special relativity
• Bianchi type I cyclic cosmology from Lie-algebraically deformed phase space
• Phase space noncommutativity, power-law inflation and quantum cosmology
• The full Lorentz-violating vacuum polarization tensor: low and high energy limits
• Wave Propagation and IR/UV Mixing in Noncommutative Spacetimes
• Brane Lorentz Symmetry from Lorentz Breaking in the Bulk
• Nonequilibrium Dynamics in Noncommutative Spacetime
• Big Bang Nucleosynthesis constraints on space-time noncommutativity
• CPT-Odd effects on the electromagnetic properties of charged leptons in the Standard Model Extension
• Higher Derivative Operators in the Noncommutative Schwinger Model
• Vacuum polarization in Yang-Mills theories with Lorentz violation
• Quantum simulation of quantum mechanical system with spatial noncommutativity
• Uncertainty relations for a non-canonical phase-space noncommutative algebra
• Holographic Description of Noncommutative Schwinger Effect
• Bounds on the scale of noncommutativity from mono photon production in ATLAS Runs -1 and -2 experiments at LHC energies
• Quantum Gravity Corrections to the Mean Field Theory of Nucleons
• Van der Waals black holes in rainbow gravity
• The analogy of the Lorentz-violating fermion-gravity and fermion photon couplings
• Magnetic monopoles in Lorentz-violating electrodynamics
• Discussion on Lorentz Invariance Violation of Non-commutative Field Theory and Neutrino Oscillation
• Noncommutative 6D Gauge Higgs Unification Models
• Velocity-dependent deformations of the energy spectrum of a quantum cavity from Lorentz symmetry violations
• Induced deformation of the canonical structure and UV/IR duality in $(1+1)D$
• A note on the implementation of Poincaré symmetry in noncommutative field theory
• CPT-symmetry studies with antihydrogen
• Fermions in $(1+2)$-dimensions modified by nonminimal coupling and its applications to condensed matter physics
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
• Effective Potential and Spontaneous Symmetry Breaking in the Noncommutative phi^6 Model
• Influence of exact Lorentz-violating mechanism on the critical exponents for massive $q$-deformed $\lambda {\varphi }^4$ scalar field theory
• Quantum Gravity, CPT symmetry and Entangled States
• Exact Lorentz-violating $q$-deformed O($N$) universality class
• A Phase-Space Noncommutative Picture of Nuclear Matter
• Kink properties in Lorentz-violating scalar field theory
• Probing Relativity using Space-Based Experiments
• Quasinormal Modes and Hawking Radiation Sparsity of GUP corrected Black Holes in Bumblebee Gravity with Topological Defects
• GUP, Lorentz Invariance (Non)-Violation, and Non-Commutative Geometry
• Exact Taub-NUT-like Black Holes in Einstein-bumblebee gravity: their thermodynamics and thermodynamic topology
• Testing Lorentz Violation Using Propagating UHECRs
• Observational Tests of Open Strings in Braneworld Scenarios
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
• Thermostatistical analysis and negative heat capacities of Yukawa and Lee-Wick potentials in noncommutative phase spaces
• New parameters of Non-commutativity in Quantum Mechanics
• Gamma Ray Bursters and Black Holes in the Gravity's Rainbow
• LIV effects on the quantum stochastic motion in an acoustic FRW-geometry
• Non-commutative Field Theory with Twistor-like Coordinates
• A Concept of Assessment of LIV Tests with THESEUS Using the Gamma-Ray Bursts Detected by Fermi/GBM
• Extended thermodynamics and $P-v$ Criticality of Kalb-Ramond black hole coupled with nonlinear electrodynamics
• Solution to the $\beta$-functions in Lorentz-violating theories as a decomposition into irreducible representations
• Interaction of a circularly polarised gravitational wave with a charged particle in a static magnetic background
• The Effect of Modified Dispersion Relation on Dumb Holes
• Thermal Properties of Gauge-Invariant Graphene in Noncommutative Phase-Space
• Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity
• Quantum Space-Time and Noncommutative Gauge Field Theories
• Scalar Casimir effect for a conducting cylinder in a Lorentz violating background
• Exotic Newton-Hooke group, noncommutative plane and superconformal symmetry
• Theories on noncommutative spaces and deformed symmetries
• Constraining the deformed dispersion relation with the hydrogen atom 1S-2S transition
• Comments on Noncommutative Field Theories
• Coupling Right- and Left-Handed Photons Differently to Charged Matter
• Effect of bulk Lorentz violation on anisotropic brane cosmologies
• Rotating black hole shadows in metric-affine bumblebee gravity
• Test of Space-Time Non-Commutativity at the Future Circular Collider
• Gravitational-wave constraints on noncommutative spacetime from GW190814
• Lorentz symmetry and high-energy neutrino astronomy
• Limit on Quark-Antiquark Mass Difference from the Neutral Kaon System
• Electromagnetic Dualities on Noncommutative Space-Time and Symplectic Formalisms
• Cosmology in the presence of diffeomorphism-violating, nondynamical background fields
• Spacetime-symmetry violations: motivations, phenomenology, and tests
• The GPSP Atlas: High-resolution Galactic Photon Survival Probability Atlas for Very-High- and Ultra-High-Energy Gamma-Ray Astronomy
• Phase Space Non-commutativity and its Stability
• Bounds on QCA Lattice Spacing from Data on Lorentz Violation
• Primitively divergent diagrams in $\kappa$-deformed scalar field with quartic self-interaction
• Aspects of noncommutativity in field theory, strings and membranes
• Emergence of Yang Mills theory from the Non-Abelian Nambu Model
• Penning-Trap Searches for Lorentz and CPT Violation
• Effects of bumblebee gravity on neutrino motion
• Non-Perturbative Aspects of Quantum Electrodynamics on Curved Space and Investigations in Matrix Gravity