Electrodynamics with Lorentz-violating operators of arbitrary dimension

Abstract

The behavior of photons in the presence of Lorentz and CPT violation is studied. Allowing for operators of arbitrary mass dimension, we classify all gauge-invariant Lorentz- and CPT-violating terms in the quadratic Lagrange density associated with the effective photon propagator. The covariant dispersion relation is obtained, and conditions for birefringence are discussed. We provide a complete characterization of the coefficients for Lorentz violation for all mass dimensions via a decomposition using spin-weighted spherical harmonics. The resulting nine independent sets of spherical coefficients control birefringence, dispersion, and anisotropy. We discuss the restriction of the general theory to various special models, including among others the minimal Standard-Model Extension, the isotropic limit, the case of vacuum propagation, the nonbirefringent limit, and the vacuum-orthogonal model. The transformation of the spherical coefficients for Lorentz violation between the laboratory frame and the standard Sun-centered frame is provided. We apply the results to various astrophysical observations and laboratory experiments. Astrophysical searches of relevance include studies of birefringence and of dispersion. We use polarimetric and dispersive data from gamma-ray bursts to set constraints on coefficients for Lorentz violation involving operators of dimensions four through nine, and we describe the mixing of polarizations induced by Lorentz and CPT violation in the cosmic-microwave background. Laboratory searches of interest include cavity experiments. We present the theory for searches with cavities, derive the experiment-dependent factors for coefficients in the vacuum-orthogonal model, and predict the corresponding frequency shift for a circular-cylindrical cavity.

58 pages two-column REVTeX, accepted in Physical Review D

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• On Poisson Electrodynamics With Charged Fields
• Bumblebee gravity: spherically-symmetric solutions away from the potential minimum
• A simple model of pointlike spacetime defects and implications for photon propagation
• Towards nonlinear axion-dilaton electrodynamics: How can axionic dark matter mimic dilaton-photon interactions?
• Classical radiation fields for scalar, electromagnetic, and gravitational waves with spacetime-symmetry breaking
• Measuring cosmic shear and birefringence using resolved radio sources
• Bounds on Lorentz-violating Yukawa couplings via lepton electromagnetic moments
• Lorentz violating inflation and the Swampland
• Distance Between Quantum Field Theories As A Measure Of Lorentz Violation
• Testing the Ampère-Maxwell law on the photon mass and Lorentz-Poincaré symmetry violation with MMS multi-spacecraft data
• Bounds on higher-order Lorentz-violating photon sector coefficients from an asymmetric optical ring resonator experiment
• A Lorentz-Violating Alternative to Higgs Mechanism?
• Relativistic scalar particle subject to a confining potential and Lorentz symmetry breaking effects in the cosmic string spacetime
• Spontaneous color polarization as a modus originis of the dynamic aether
• New limits on the local Lorentz invariance violation of gravity in the Standard-Model Extension with pulsars
• Axion-like Particle Effects on Photon Polarization in High-Energy Astrophysics
• Perturbative unitarity and higher-order Lorentz symmetry breaking
• Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions: Radiative Corrections
• Short-range forces due to Lorentz-symmetry violation
• Modified gravitational wave propagations in linearized gravity with Lorentz and diffeomorphism violations and their gravitational wave constraints
• New Constraints on Lorentz Invariance Violation from Combined Linear and Circular Optical Polarimetry of Extragalactic Sources
• Birefringence induced by pp-wave modes in an electromagnetically active dynamic aether
• Bounds on the Polymer Scale from Gamma Ray Bursts
• Squeezing the Parameter Space for Lorentz Violation in the Neutrino Sector by Additional Decay Channels
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• Material boundaries in Carroll-Field-Jackiw Lorentz-violating electrodynamics
• The point-charge self-energy in a nonminimal Lorentz violating Maxwell Electrodynamics
• Gupta-Bleuler's quantization of a parity-odd CPT-even electrodynamics of the standard model extension
• Aspects of the gauge boson-gaugino mixing in a supersymmetric scenario with Lorentz-symmetry violation
• The 300 TeV photon from GRB 221009A: a Hint at Non-linear Lorentz Invariance Violation?
• Modifications to Plane Gravitational Waves from Minimal Lorentz Violation
• Two-body Dirac equation in DSR: results for fermion-antifermion pairs
• Effect of VSR invariant Chern-Simon Lagrangian on photon polarization
• Higher-derivative Lorentz-breaking terms in extended QED at the finite temperature
• Prospects for an advanced Kennedy-Thorndike experiment in low Earth orbit
• Lorentz-preserving fields in Lorentz-violating theories
• Antimatter, the SME, and Gravity
• The Impact of Lorentz Violation on the Klein Tunneling Effect
• Quasi-relativistic fermions and dynamical flavour oscillations
• Topological self-dual configurations in a Maxwell--Higgs model with a CPT-odd and Lorentz-violating nonminimal coupling
• Formal Developments for Lorentz-Violating Dirac Fermions and Neutrinos
• Lorentz-violating nonminimal coupling contributions in mesonic hydrogen atoms and generation of photon higher-order derivative terms
• Consistency of an alternative CPT-odd and Lorentz-violating extension of QED
• Lorentz Breaking and SU(2)_L x U(1)_Y Gauge Invariance for Neutrino Decays
• Polymer quantization, stability and higher-order time derivative terms
• Lorentz-violating extension of scalar QED at finite temperature
• Thermodynamics of a Photon Gas in Nonlinear Electrodynamics
• Tests of Lorentz Invariance Violation with Gamma Rays to probe Quantum Gravity
• Observational Constraints on Local Lorentz Invariance
• Exploring Anisotropic Lorentz Invariance Violation from the Spectral-Lag Transitions of Gamma-Ray Bursts
• Optical cavity resonator in an expanding universe
• Gravitational physics with antimatter
• He-McKellar-Wilkens-type effect from the Lorentz symmetry breaking effects
• The CPT-violating effects on neutrons' gravitational bound state
• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model
• On the algebraic approach to GUP in anisotropic space
• Cosmological Perturbation Theory With Background Anisotropic Curvature
• Equations for massless and massive spin-1/2 particles with varying speed and neutrino in matter
• Meson scattering in a Lorentz-violating scalar QED at finite temperature
• Triangular Ring Resonator: Direct measurement of the parity-odd parameters of the photon sector of SME
• Optical dispersion of composite particles consisting of millicharged constituents
• Effects of the CPT-even and Lorentz violation on the Bhabha scattering at finite temperature
• Prospects for testing CPT and Lorentz symmetry with deuterium ground-state Zeeman-hyperfine transitions
• Scale anomaly in a Lorentz and CPT-violating Quantum Electrodynamics
• Lorentz Symmetry Violation in QCD and the Frustration of Asymptotic Freedom
• On massless and spinless particles with varying speed
• Bounds on Parity Violation In the Cosmological Redshift
• Bounds on Vacuum-Orthogonal Lorentz and CPT Violation from Radiative Corrections
• Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect
• Lorentz and CPT Tests using Penning Traps
• Testing Lorentz symmetry with space-based gravitational-wave detectors
• Constraints on Lorentz invariance violation with multiwavelength polarized astrophysical sources
• Do anomalies break the momentum routing invariance?
• Lifshitz-scaling in CPT-even Lorentz-violating electrodynamics and GRB time delay
• Search for the Footprints of New Physics with Laboratory and Cosmic Neutrinos
• Particle propagation on spacetime manifolds with static defects
• CPT-Odd effects on the electromagnetic properties of charged leptons in the Standard Model Extension
• Tree-level unitarity, causality and higher-order Lorentz and CPT violation
• The Standard-Model Extension and Gravitational Tests
• Testing Lorentz symmetry with atoms and Light
• Vacuum polarization in Yang-Mills theories with Lorentz violation
• 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
• Fermions in $(1+2)$-dimensions modified by nonminimal coupling and its applications to condensed matter physics
• Simulation Study on Constraining GW Propagation Speed by GW and GRB Joint Observation on Binary Neutron Star Mergers
• On perturbative aspects of a nonminimal Lorentz-violating QED with CPT-even dimension-5 terms
• Quantization of a Complex Higher Order Derivative Theory using Path Integrals
• Two-loop renormalization of the CPT-even Lorentz-violating Scalar QED
• Nonminimal Lorentz Violation in Macroscopic Matter
• Perturbative S-matrix unitarity and higher-order Lorentz violation
• Effects of Lorentz Symmetry Breaking Environment on Generalized Relativistic Quantum Oscillator Field
• Perturbative Hamiltonian constraints for higher order theories
• Constraining EDM and MDM lepton dimension five interactions in the electroweak sector
• Testing Lorentz Symmetry using High Energy Astrophysics Observations
• CPT-symmetry studies with antihydrogen
• Velocity-dependent deformations of the energy spectrum of a quantum cavity from Lorentz symmetry violations
• Indications against dynamical CPT symmetry restoration in quantum gravity
• On the nonlinear electrodynamics in a Lorentz-breaking scenario
• Penning-Trap Searches for Lorentz and CPT Violation
• The Axial Anomaly in Lorentz Violating Theories: Towards the Electromagnetic Response of Weakly Tilted Weyl Semimetals
• Demonstration of deuterium's enhanced sensitivity to symmetry violations governed by the Standard-Model Extension
• Bounds on Lorentz and CPT violation from the $1S$-$2P$ transition in antihydrogen
• Nonrelativistic Yang-Mills Theory for a Naturally Light Higgs Boson
• Spacetime-symmetry violations: motivations, phenomenology, and tests
• Compton Edge probing basic physics at Jefferson Laboratory: light speed isotropy and Lorentz invariance
• Antimatter-Gravity Couplings, and Lorentz Symmetry
• One-loop contributions in Lorentz-violating scalar QED with nonminimal coupling
• Lorentz symmetry and high-energy neutrino astronomy