Lorentz-Violating Electrostatics and Magnetostatics

Abstract

The static limit of Lorentz-violating electrodynamics in vacuum and in media is investigated. Features of the general solutions include the need for unconventional boundary conditions and the mixing of electrostatic and magnetostatic effects. Explicit solutions are provided for some simple cases. Electromagnetostatics experiments show promise for improving existing sensitivities to parity-odd coefficients for Lorentz violation in the photon sector.

9 pages

References in corpus (59)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Gravity, Lorentz Violation, and the Standard Model
• High-Energy Tests of Lorentz Invariance
• Signals for Lorentz Violation in Electrodynamics
• Stability, Causality, and Lorentz and CPT Violation
• CPT, Strings, and Meson Factories
• Radiatively Induced Lorentz and CPT Violation in Electrodynamics
• Cosmological Constraints on Lorentz Violation in Electrodynamics
• Constraints on Lorentz violation from clock-comparison experiments
• CPT and Lorentz Tests in Hydrogen and Antihydrogen
• Lorentz and CPT Violation in Neutrinos
• Limit on Lorentz and CPT Violation of the Neutron Using a Two-Species Noble-Gas Maser
• Modern Michelson-Morley experiment using cryogenic optical resonators
• CPT and Lorentz Tests in Penning Traps
• One-Loop Renormalization of Lorentz-Violating Electrodynamics
• Threshold effects and Planck scale Lorentz violation: combined constraints from high energy astrophysics
• CPT and Lorentz tests with muons
• Clock-Comparison Tests of Lorentz and CPT Symmetry in Space
• Nonrelativistic Quantum Hamiltonian for Lorentz Violation
• Testing CPT with Anomalous Magnetic Moments
• Spacetime-varying couplings and Lorentz violation
• Sensitivity of CPT Tests with Neutral Mesons
• Cross Sections and Lorentz Violation
• Vacuum Cherenkov radiation
• Lorentz and CPT tests with spin-polarized solids
• Past electron-positron g-2 experiments yielded sharpest bound on CPT violation for point particles
• Probing Lorentz and CPT violation with space-based experiments
• A New Limit on Signals of Lorentz Violation in Electrodynamics
• Lorentz and CPT Violation in the Neutrino Sector
• Limit on Lorentz and CPT Violation of the Proton Using a Hydrogen Maser
• Physical (ir)relevance of ambiguities to Lorentz and CPT violation in QED
• Signals for CPT and Lorentz Violation in Neutral-Meson Oscillations
• Lorentz Violation and Short-Baseline Neutrino Experiments
• Threshold analyses and Lorentz violation
• CPT, T, and Lorentz Violation in Neutral-Meson Oscillations
• Vacuum Photon Splitting in Lorentz-Violating Quantum Electrodynamics
• CPT-odd Resonances in Neutrino Oscillations
• Test of CPT and Lorentz invariance from muonium spectroscopy
• A Study of B Meson Oscillations Using Hadronic Z^0 Decays Containing Leptons
• Supersymmetry and Lorentz Violation
• Charm System Tests of CPT and Lorentz Invariance with FOCUS
• Photon decay in a CPT-violating extension of quantum electrodynamics
• Improved Test of Lorentz Invariance in Electrodynamics
• Test of Cosmic Spatial Isotropy for Polarized Electrons Using a Rotatable Torsion Balance
• Testing Lorentz and CPT symmetry with hydrogen masers
• Optical cavity tests of Lorentz invariance for the electron
• Measurement of B0d - B0d-bar mixing rate from the time evolution of dilepton events at the Upsilon(4S)
• Quantum Gravitational Optics
• Electromagnetic cavities and Lorentz invariance violation
• Redefining Spinors in Lorentz-Violating QED
• Whispering Gallery Resonators and Tests of Lorentz Invariance
• Compton Scattering in the Presence of Lorentz and CPT Violation
• A New Test of the Einstein Equivalence Principle and the Isotropy of Space
• Double resonance frequency shift in a hydrogen maser
• Atmospheric Neutrinos as a Probe of CPT Violation
• Indirect limits on the CPT violating background in the neutrino sector
• Can a CPT Violating Ether Solve ALL Electron (Anti)Neutrino Puzzles?
• Electrophobic Lorentz invariance violation for neutrinos and the see-saw mechanism

Cited by in corpus (152)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Signals for Lorentz Violation in Post-Newtonian Gravity
• Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
• Matter-gravity couplings and Lorentz violation
• Fermions with Lorentz-violating operators of arbitrary dimension
• Riemann-Finsler geometry and Lorentz-violating kinematics
• Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
• What Do We Know About Lorentz Invariance?
• The Cherenkov effect in Lorentz-violating vacua
• New two-sided bound on the isotropic Lorentz-violating parameter of modified Maxwell theory
• Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation
• Bipartite Riemann-Finsler geometry and Lorentz violation
• Magnetic Moment Generation from non-minimal couplings in a scenario with Lorentz-Symmetry Violation
• A Michelson-Morley Test of Lorentz Symmetry for Electrons
• Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling
• The Search for Quantum Gravity Signals
• Lorentz-violating spinor electrodynamics and Penning traps
• Consistency of isotropic modified Maxwell theory: Microcausality and unitarity
• Classical kinematics for Lorentz violation
• Ultrahigh-energy cosmic-ray bounds on nonbirefringent modified-Maxwell theory
• Analysis of the consistency of parity-odd nonbirefringent modified Maxwell theory
• Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields
• Limits on isotropic Lorentz violation in QED from collider physics
• Massive photons and Lorentz violation
• New methods of testing Lorentz violation in electrodynamics
• Bounding Isotropic Lorentz Violation Using Synchrotron Losses at LEP
• Limits on Lorentz Violation from Synchrotron and Inverse Compton Sources
• Testing Lorentz invariance by use of vacuum and matter filled cavity resonators
• Synchrotron and Inverse Compton Constraints on Lorentz Violations for Electrons
• Probing Lorentz violation with Doppler-shift experiments
• Time-delay and Doppler tests of the Lorentz symmetry of gravity
• Polarizations of Gravitational Waves in the Bumblebee Gravity Model
• Particle-accelerator constraints on isotropic modifications of the speed of light
• Searching for photon-sector Lorentz violation using gravitational-wave detectors
• Measuring the stability of fundamental constants with a network of clocks
• Lorentz violation in the gravity sector: The t puzzle
• Finite Duration and Energy Effects in Lorentz-Violating Vacuum Cerenkov Radiation
• The Casimir Force in a Lorentz Violating Theory
• Gauge propagator and physical consistency of the CPT-even part of the Standard Model Extension
• Matter-gravity scattering in the presence of spontaneous Lorentz violation
• Asymptotic states and renormalization in Lorentz-violating quantum field theory
• Synchrotron Radiation in Lorentz-violating Electrodynamics: the Myers-Pospelov model
• Effects of the Lorentz invariance violation in Coulomb interaction in nuclei and atoms
• Lorentz Violation and Synchrotron Radiation
• Modified Axion Electrodynamics as Impressed Electromagnetic Sources Through Oscillating Background Polarization and Magnetization
• Lorentz-violating gravitoelectromagnetism
• An investigation of the $K_F$-type Lorentz-Symmetry Breaking Gauge Models with Vortex-like Configurations
• An Investigation of the $K_F$-type Lorentz-Symmetry Breaking Gauge Models in $N=1$-Supersymmetric Scenario
• Quantum field theoretic properties of Lorentz-violating operators of nonrenormalizable dimension in the photon sector
• On a relativistic scalar particle subject to a Coulomb-type potential given by Lorentz symmetry breaking effects
• Optical-cavity tests of higher-order Lorentz violation
• U(1) Noncommutative Gauge Fields and Magnetogenesis
• Casimir effect between ponderable media as modeled by the standard model extension
• Influence of Lorentz- and CPT-violating terms on the Dirac equation
• Finite Temperature behavior of the CPT-even and parity-even electrodynamics of the Standard Model Extension
• Geometric quantum phases from Lorentz symmetry breaking effects in the cosmic string spacetime
• Lorentz violation and black-hole thermodynamics
• Vacuum Cherenkov radiation for Lorentz-violating fermions
• Lorentz-violating effects on topological defects generated by two real scalar fields
• Lorentz and CPT Violation in Top-Quark Production and Decay
• Statistical Mechanics and Lorentz Violation
• Higher order corrections to the hydrogen spectrum from the Standard-Model Extension
• Quantum field theory based on birefringent modified Maxwell theory
• Eikonal approximation, Finsler structures, and implications for Lorentz-violating photons in weak gravitational fields
• The photino sector and a confining potential in a supersymetric Lorentz-symmetry-violating model
• Classical solutions for the Lorentz-violating and CPT-even term of the Standard Model Extension
• Radiative corrections and Lorentz violation
• Photon sector analysis of Super and Lorentz symmetry breaking: effective photon mass, bi-refringence and dissipation
• Effects of CPT-odd terms of dimensions three and five on electromagnetic propagation in continuous matter
• Lorentz violation and black-hole thermodynamics: Compton scattering process
• Lorentz violation and deep inelastic scattering
• Gauge invariant non-linear electrodynamics motivated by a spontaneous breaking of the Lorentz symmetry
• Magnetic flux inversion in Charged BPS vortices in a Lorentz-violating Maxwell-Higgs framework
• Field sources in a Lorentz symmetry breaking scenario with a single background vector
• Classical solutions for the Carroll-Field-Jackiw-Proca electrodynamics
• Rotating Odd-Parity Lorentz Invariance Test in Electrodynamics
• No-birefringence conditions for spacetime
• Bose-Einstein Condensates as a Probe for Lorentz Violation
• New effects in the interaction between electromagnetic sources mediated by nonminimal Lorentz violating interactions
• Stationary solutions for the parity-even sector of the CPT-even and Lorentz-covariance-violating term of the standard model extension
• Lorentz violation in a uniform newtonian gravitational field
• Uncharged compactlike and fractional Lorentz-violating BPS vortices in the CPT-even sector of the standard model extension
• Particle interference as a test of Lorentz-violating electrodynamics
• Fermion observables for Lorentz violation
• Magnetic-conductivity effects on electromagnetic propagation in dispersive matter
• Parity-odd and CPT-even electrodynamics of the SME at Finite Temperature
• One-loop nonbirefringent effects on the electromagnetic vertex in the Standard Model Extension
• Lorentz Violation and the Yukawa Potential
• Relativistic geometric quantum phases from the Lorentz symmetry violation effects in the CPT-even gauge sector of Standard Model Extension
• Photon decay in UHE air showers: stringent bound on Lorentz violation
• Changes in extensive air showers from isotropic Lorentz violation in the photon sector
• Bounds on Lorentz and CPT Violation from the Earth-Ionosphere Cavity
• Cosmological birefringent constraints on light
• Tests of Lorentz Violation in Atomic and Optical Physics
• Microwave Phase Detection at the Level of $10^{-11}$ rad
• Implications of $\text{SU}(2{)}_L$ gauge invariance for constraints on Lorentz violation
• Emission and absorption of photons and the black-body spectra in Lorentz-odd Electrodynamics
• Non-relativistic electron-electron interaction in a Maxwell-Chern-Simons-Proca model endowed with a timelike Lorentz-violating background
• Lorentz symmetry breaking effects on relativistic EPR correlations
• Cold plasma waves in the chiral Maxwell-Carroll-Field-Jackiw electrodynamics
• Parton-model calculation of a nonstandard decay process in isotropic modified Maxwell theory
• Testing Lorentz- and CPT-invariance with ultracold neutrons
• Lorentz and CPT Violation in Scalar-Mediated Potentials
• Lorentz violation and higher-derivative gravity
• Cavity tests of parity-odd Lorentz violations in electrodynamics
• New point-like sources and a conducting surface in Maxwell-Chern-Simons electrodynamics
• Symmetric and antisymmetric constitutive tensors for bi-isotropic and bi-anisotropic media
• External sources in a minimal and nonminimal CPT-odd Lorentz violating Maxwell electrodynamics
• Mirrors and field sources in a Lorentz-violating scalar field theory
• Lorentz-violating extension of the spin-one Duffin-Kemmer-Petiau equation
• Lorentz Violation and Faddeev-Popov Ghosts
• Electrostatic and Magnetostatic Solutions in a Lorentz-Violating Electrodynamics Model
• Optical-Cavity Limits on Higher-Order Lorentz Violation
• Effects of Lorentz Symmetry Violation on a Relativistic Scalar Particle in Quantum Systems
• Potential sensitivities to Lorentz violation from nonbirefringent modified Maxwell theory of Auger, HESS, and CTA
• Field sources in a CPT-even Lorentz-violation Maxwell electrodynamics
• A simple model of pointlike spacetime defects and implications for photon propagation
• Non-orthogonality and $\kappa$-dependence eccentricity of polarized electromagnetic waves in CPT-even Lorentz violation
• Lorentz-violating contributions to the nuclear Schiff moment and nuclear EDM
• Ultrarelativistic Bose-Einstein Gas on Lorentz Symmetry Violation
• Relativistic scalar particle subject to a confining potential and Lorentz symmetry breaking effects in the cosmic string spacetime
• Classical radiation fields for scalar, electromagnetic, and gravitational waves with spacetime-symmetry breaking
• Optical properties and energy propagation in a dielectric medium supporting magnetic current
• Material boundaries in Carroll-Field-Jackiw Lorentz-violating electrodynamics
• Short-range forces due to Lorentz-symmetry violation
• Lorentz-violating gravity and the bootstrap procedure
• The Integrability of Pauli System in Lorentz Violating Background
• Aspects of the gauge boson-gaugino mixing in a supersymmetric scenario with Lorentz-symmetry violation
• Influence of Lorentz-violating terms on a two-level system
• Reality and causality in quantum gravity modified electrodynamics
• Semi-transparent boundaries in CPT-even Lorentz violating electrodynamics
• Triangular Ring Resonator: Direct measurement of the parity-odd parameters of the photon sector of SME
• Gravitational physics with antimatter
• A limit on the anisotropy of the one-way maximum attainable speed of the electron
• He-McKellar-Wilkens-type effect from the Lorentz symmetry breaking effects
• Unimodular gravity theory with external sources in a Lorentz-symmetry breaking scenario
• One-loop Schwinger effect in the presence of Lorentz-violating background fields
• Small-Scale Structure of Spacetime: Bounds and Conjectures
• Multiple Lorentz groups - a toy model for superluminal muon neutrinos
• Lorentz-symmetry violating physics in a supersymmetric scenario in $(2+1)$-D
• Atomic and optical tests of Lorentz symmetry
• Lorentz violating backgrounds from quadratic, shift-symmetric, ultralight dark matter
• UHECR bounds on Lorentz violation in the photon sector
• Testing Lorentz symmetry with atoms and Light
• New Constraint for Isotropic Lorentz Violation from LHC Data
• Effects of Lorentz Symmetry Breaking Environment on Generalized Relativistic Quantum Oscillator Field
• Kink properties in Lorentz-violating scalar field theory
• LIV effects on the quantum stochastic motion in an acoustic FRW-geometry
• Probing Relativity using Space-Based Experiments
• Aspects of Lorentz-Poincaré-symmetry violating physics in a supersymmetric scenario
• An algorithm for quantum gravity phenomenology
• A novel test of Lorentz violation in the photon sector with an LC circuit