Testing Non-commutative QED, Constructing Non-commutative MHD
arXiv:hep-th/0106044 · doi:10.1016/S0370-2693(01)00986-8
Abstract
The effect of non-commutativity on electromagnetic waves violates Lorentz invariance: in the presence of a background magnetic induction field b, the velocity for propagation transverse to b differs from c, while propagation along b is unchanged. In principle, this allows a test by the Michelson-Morley interference method. We also study non-commutativity in another context, by constructing the theory describing a charged fluid in a strong magnetic field, which forces the fluid particles into their lowest Landau level and renders the fluid dynamics non-commutative, with a Moyal product determined by the background magnetic field.
14 pages, LaTeX; minor corrections, references added
References in corpus (2)
Cited by in corpus (162)
- Gravity, Lorentz Violation, and the Standard Model
- Signals for Lorentz Violation in Electrodynamics
- Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
- Signals for Lorentz Violation in Post-Newtonian Gravity
- Cosmological Constraints on Lorentz Violation in Electrodynamics
- Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
- Lorentz and CPT Violation in Neutrinos
- One-Loop Renormalization of Lorentz-Violating Electrodynamics
- Clock-Comparison Tests of Lorentz and CPT Symmetry in Space
- Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
- What Do We Know About Lorentz Invariance?
- Spacetime-varying couplings and Lorentz violation
- Exotic galilean symmetry in the non-commutative plane, and the Hall effect
- Vacuum Cherenkov radiation
- Probing Lorentz and CPT violation with space-based experiments
- Review of the Phenomenology of Noncommutative Geometry
- Perfect Fluid Theory and its Extensions
- The Cherenkov effect in Lorentz-violating vacua
- Comments on Non-Commutative Phenomenology
- The non-commutative Landau problem
- Noncommutative Field Theories and Gravity
- Threshold analyses and Lorentz violation
- Physical Instances of Noncommuting Coordinates
- Vacuum Photon Splitting in Lorentz-Violating Quantum Electrodynamics
- Dirac theory within the Standard-Model Extension
- Testing spatial noncommutativiy via the Aharonov-Bohm effect
- Cosmological acceleration, varying couplings, and Lorentz breaking
- Topics in Noncommutative Geometry Inspired Physics
- Redefining Spinors in Lorentz-Violating QED
- Noncommutative Gauge Theory without Lorentz Violation
- Lorentz and CPT Violation in the Higgs Sector
- Lorentz violation in the linearized gravity
- Time-delay and Doppler tests of the Lorentz symmetry of gravity
- The Kepler problem and non commutativity
- Lorentz violation in the gravity sector: The t puzzle
- Magnetic fields in noncommutative quantum mechanics
- Quantization and stability of bumblebee electrodynamics
- Exact Seiberg-Witten Map and Induced Gravity from Noncommutativity
- Magnetic Backgrounds and Noncommutative Field Theory
- Superluminal Noncommutative Photons
- Lorentz-violating contributions of the Carroll-Field-Jackiw model to the CMB anisotropy
- Poincare covariant mechanics on noncommutative space
- Phenomenology of Particle Production and Propagation in String-Motivated Canonical Noncommutative Spacetime
- Lorentz violation and the proper-time method
- Radiative corrections in bumblebee electrodynamics
- Non-local on-shell field redefinition for the SME
- Nonuniform symmetry breaking in noncommutative theory
- Noncommutative Quantum Mechanics and rotating frames
- Seiberg Witten Map and the Axial Anomaly in Noncommutative Field Theory
- Photon Neutrino Scattering in Non-Commutative Space
- Statistical Mechanics and Lorentz Violation
- Parton Model in Lorentz Invariant Non-Commutative Space
- Quantum dissipation induced noncommutative geometry
- On the Space-Time Symmetries of Non-Commutative Gauge Theories
- Superfield covariant analysis of the divergence structure of noncommutative supersymmetric QED
- Ultraviolet modified photons and anisotropies in the cosmic microwave background radiation
- Generation of higher derivatives operators and electromagnetic wave propagation in a Lorentz-violation scenario
- Gravitational Collapse of a Homogeneous Scalar Field in Deformed Phase Space
- Noncommutative Synchrotron
- Noncommutative Electrodynamics
- On the finiteness of noncommutative supersymmetric QED in the covariant superfield formulation
- Lagrangian formulation for noncommutative nonlinear systems
- Spontaneous Breaking of Lorentz Symmetry with an antisymmetric tensor
- Effective Lagrangian at Cubic Order in Electromagnetic Fields and Vacuum Birefringence
- On the Radiatively Induced Lorentz and CPT Violating Chern-Simons Term
- Renormalizability of Yang-Mills theory with Lorentz violation and gluon mass generation
- The non-commutative and discrete spatial structure of a 3D Wigner quantum oscillator
- QED with external field: Hamiltonian treatment for anisotropic medium formed by the Lorentz-non-invariant vacuum
- Lorentz violation in a uniform newtonian gravitational field
- Dispersion Relations in Noncommutative Theories
- Chiral Anomaly Beyond Lorentz Invariance
- Discerning Noncommutative Extra Dimensions
- The μ\to eγand τ\to μγdecays with the inclusion of Lorentz and CPT violating effects
- Galilean symmetry in noncommutative field theory
- Observations on noncommuting coordinates and on fields depending on them
- Noncommutative Black-Body Radiation: Implications On Cosmic Microwave Background
- Noncommutative Einstein-Maxwell pp-waves
- Vortices, Infrared effects and Lorentz Invariance Violation
- Classical Noncommutative Electrodynamics with External Source
- Noncommutative magnetic moment of charged particles
- Non-singular Brans-Dicke collapse in deformed phase space
- Quasinormal Modes in Noncommutative Schwarzschild black holes
- Bounds on Lorentz and CPT Violation from the Earth-Ionosphere Cavity
- Duality Symmetry and Plane Waves in Non-Commutative Electrodynamics
- Relativistic field theories in a magnetic background as noncommutative field theories
- Harmonic oscillator chains as Wigner Quantum Systems: periodic and fixed wall boundary conditions in gl(1|n) solutions
- Noncommuting fields and non-Abelian fluids
- U(1) gauge invariant noncommutative Schrödinger theory and gravity
- Charged Einstein-æther black holes in -dimensional spacetime
- Laboratory bounds on Lorentz symmetry violation in low energy neutrino physics
- Light Propagation in a Background Field for Time-Space Noncommutativity and Axionic Noncommutative QED
- Noncommuting Electric Fields and Algebraic Consistency in Noncommutative Gauge theories
- Noncommutative Extension of AdS-CFT and Holographic Superconductors
- Remarks on the renormalization properties of Lorentz and CPT violating quantum electrodynamics
- On The Bound States Of Photons In Noncommutative Quantum Electrodynamics
- Effects of CPT and Lorentz Invariance Violation on Pulsar Kicks
- Noncommutative Geometry and Fluid Dynamics
- Myers-Pospelov Model as an Ensemble of Pais-Uhlenbeck Oscillators: Unitarity and Lorentz Invariance Violation
- Cavity tests of parity-odd Lorentz violations in electrodynamics
- Pauli Oscillator In Noncommutative Space
- Photon propagation in noncommutative QED with constant external field
- Free-fall in a uniform gravitational field in non-commutative quantum mechanics
- Hall viscosity and geometric response in the Chern-Simons matrix model of the Laughlin states
- Generalized uncertainty principle in graphene
- Chiral dynamics in QED and QCD in a magnetic background and nonlocal noncommutative field theories
- Canonical Quantization of Noncommutative Field Theory
- On the dual equivalence between self-dual and Maxwell-Chern-Simons models with Lorentz symmetry breaking
- On the Vacuum Cherenkov Radiation in Noncommutative Electrodynamics and the Elusive Effects of Lorentz Violation
- Quantum speed limit for a relativistic electron in the noncommutative phase space
- Noncommutativity from spectral flow
- Coulomb's law modification in nonlinear and in noncommutative electrodynamics
- One-loop renormalization of Lorentz/CPT violating scalar field theory in curved space-time
- Searching for Effects of Spatial Noncommutativity via Chern-Simons' Processes
- Noncommutative electrodynamics and ultra high energy gamma rays
- Baryon asymmetry in the Universe resulting from Lorentz violation
- Phenomenology of Noncommutative Field Theories
- Do high-energy neutrinos travel faster than photons in a discrete space-time?
- Classical electrodynamics in a space with spin noncommutativity of coordinates
- Three Questions on Lorentz Violation
- Violation of Lorentz invariance and dynamical effects in high energy gamma rays
- Noncommutative Electrodynamics with covariant coordinates
- Non-Commutative Geometry and Measurements of Polarized Two Photon Coincidence Counts
- A Review of Noncommutative Field Theories
- Noncommutativity and Lorentz Violation in Relativistic Heavy Ion Collisions
- Lorentz-violating dynamics in the pre-Planckian Universe
- A Note on Duality Symmetry in Nonlinear Gauge Theories
- Towards Noncommutative Fuzzy QED
- Quantum and pseudoclassical descriptions of nonrelativistic spinning particles in noncommutative space
- Ambiguities in the Seiberg-Witten Map and Emergent Gravity
- Noncommutative field with constant background fields and neutral fermion
- Quantum and pseudoclassical descriptions of nonrelativistic spinning particles in noncommutative space
- Black hole evaporation within a momentum-dependent metric
- Back Reaction Inhomogeneities in Cosmological Parameter Evolution via Noncommutative Fluid
- Hamiltonian Formulation of Higher Rank Symmetric Gauge Theories
- MHD waves within Noncommutative Maxwell theory
- Aspects of Noncommutative Scalar/Tensor Duality
- Strong Coupling Phenomena on the Noncommutative Plane
- Observational Constraints on Local Lorentz Invariance
- Strong Field, Noncommutative QED
- Issues on 3D Noncommutative Electromagnetic Duality
- CPT-violating neutrino oscillations
- Remarks on an Exact Seiberg-Witten map
- Speed addition and closed time cycle in Lorentz-non-invariant theories
- Testing Spatial Noncommutativity via Magnetic Hyperfine Structure Induced by Fractional Angular Momentum of Rydberg System
- Non-Abelian extension of the aether term and the Gribov problem
- Particle-antiparticle asymmetry from magnetogenesis through the Landau mechanism
- Lorentz symmetry breaking in a Yang-Mills theory within the Gribov restriction
- On plane wave and vortex-like solutions of noncommutative Maxwell-Chern-Simons theory
- Atomic and optical tests of Lorentz symmetry
- Modified Lorentz transformations in deformed special relativity
- Galilei Group with multiple central extension, vorticity and entropy generation: "Exotic" fluid in 3+1-dimensions
- Supersymmetry and Gravity in Noncommutative Field Theories
- Noncommutativity and the lightfront
- Observational Tests of Open Strings in Braneworld Scenarios
- Probing Relativity using Space-Based Experiments
- Discussion on Lorentz Invariance Violation of Non-commutative Field Theory and Neutrino Oscillation
- Velocity-dependent deformations of the energy spectrum of a quantum cavity from Lorentz symmetry violations
- Photon gas with hyperbolic dispersion relations
- Noncommutative Metafluid Dynamics
- Deriving Spin within a discrete-time theory
- Test of Space-Time Non-Commutativity at the Future Circular Collider
- Regimes of Yang--Mills theory in the presence of a constant vector background