Cerenkov Radiation in a Lorentz-Violating and Birefringent Vacuum

Abstract

We calculate the emission spectrum for vacuum Cerenkov radiation in Lorentz-violating extensions of electrodynamics. We develop an approach that works equally well if the presence or the absence of birefringence. In addition to confirming earlier work, we present the first calculation relevant to Cerenkov radiation in the presence of a birefringent photon k_F term, calculating the lower-energy part of the spectrum for that case.

17 pages, version to appear in Phys. Rev. D

References in corpus (48)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Gravity, Lorentz Violation, and the Standard Model
• Noncommutative Field Theory and Lorentz Violation
• Nonstandard optics from quantum spacetime
• Signals for Lorentz Violation in Electrodynamics
• Stability, Causality, and Lorentz and CPT Violation
• Cosmological Constraints on Lorentz Violation in Electrodynamics
• Constraints on Lorentz violation from clock-comparison experiments
• Lorentz violation at high energy: concepts, phenomena and astrophysical constraints
• CPT and Lorentz Tests in Hydrogen and Antihydrogen
• Loop quantum gravity and light propagation
• Limit on Lorentz and CPT Violation of the Neutron Using a Two-Species Noble-Gas Maser
• Lorentz violation and Crab synchrotron emission: a new constraint far beyond the Planck scale
• CPT and Lorentz Tests in Penning Traps
• One-Loop Renormalization of Lorentz-Violating Electrodynamics
• CPT and Lorentz tests with muons
• Testing CPT with Anomalous Magnetic Moments
• Spacetime-varying couplings and Lorentz violation
• Sensitivity of CPT Tests with Neutral Mesons
• Sensitive polarimetric search for relativity violations in gamma-ray bursts
• 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
• Low-energy Limits on the Antisymmetric Tensor Field Background on the Brane and on the Non-commutative Scale
• Cold Atom Clock Test of Lorentz Invariance in the Matter Sector
• Limit on Lorentz and CPT Violation of the Proton Using a Hydrogen Maser
• Is there evidence for cosmic anisotropy in the polarization of distant radio sources?
• The Cherenkov effect in Lorentz-violating vacua
• Signals for CPT and Lorentz Violation in Neutral-Meson Oscillations
• Test of constancy of speed of light with rotating cryogenic optical resonators
• Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation
• Test of Lorentz Invariance in Electrodynamics Using Rotating Cryogenic Sapphire Microwave Oscillators
• New CP-violation and preferred-frame tests with polarized electrons
• Vacuum Photon Splitting in Lorentz-Violating Quantum Electrodynamics
• Test of CPT and Lorentz invariance from muonium spectroscopy
• Test of the isotropy of the speed of light using a continuously rotating optical resonator
• Vacuum Cherenkov radiation and photon triple-splitting in a Lorentz-noninvariant extension of quantum electrodynamics
• Charm System Tests of CPT and Lorentz Invariance with FOCUS
• Measurement of B0d - B0d-bar mixing rate from the time evolution of dilepton events at the Upsilon(4S)
• Spacetime foam, CPT anomaly, and photon propagation
• Spontaneous Lorentz Violation and Nonpolynomial Interactions
• Limits on Lorentz Violation from Synchrotron and Inverse Compton Sources
• Search for T, CP and CPT Violation in B0-B0bar Mixing with Inclusive Dilepton Events
• Probing Lorentz violation with Doppler-shift experiments
• Lorentz-violating massive gauge and gravitational fields
• Infrared Lorentz Violation and Slowly Instantaneous Electricity
• Radiatively Induced Lorentz-Violating Photon Masses

Cited by in corpus (69)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
• What Do We Know About Lorentz Invariance?
• Black holes with a cosmological constant in bumblebee gravity
• Constraints on Lorentz violation from gravitational Cherenkov radiation
• Ultrahigh-energy cosmic-ray bounds on nonbirefringent modified-Maxwell theory
• A new CPT-even and Lorentz-Violating nonminimal coupling in the Dirac equation
• Limits on isotropic Lorentz violation in QED from collider physics
• Bare and Induced Lorentz and CPT Invariance Violations in QED
• Signals for Lorentz violation in gravitational waves
• Einstein-Hilbert Graviton modes modified by the Lorentz-violating bumblebee Field
• Vacuum Cherenkov radiation in spacelike Maxwell-Chern-Simons theory
• Feynman propagator for the nonbirefringent CPT-even electrodynamics of the Standard Model Extension
• Finite Duration and Energy Effects in Lorentz-Violating Vacuum Cerenkov Radiation
• Gauge propagator and physical consistency of the CPT-even part of the Standard Model Extension
• Radiative generation of the CPT-even gauge term of the SME from a dimension-five nonminimal coupling term
• Local effects of the quantum vacuum in Lorentz-violating electrodynamics
• Effects of a CPT-even and Lorentz-violating nonminimal coupling on the electron-positron scattering
• Optical-cavity tests of higher-order Lorentz violation
• Casimir effect between ponderable media as modeled by the standard model extension
• Finite Temperature behavior of the CPT-even and parity-even electrodynamics of the Standard Model Extension
• Cherenkov radiation from the quantum vacuum
• Vacuum Cherenkov radiation for Lorentz-violating fermions
• Classical solutions for the Lorentz-violating and CPT-even term of the Standard Model Extension
• Maxwell electrodynamics modified by CPT-even and Lorentz-violating dimension-6 higher-derivative terms
• Aspects of a planar nonbirefringent and CPT-even electrodynamics stemming from the Standard Model Extension
• Effects of CPT-odd terms of dimensions three and five on electromagnetic propagation in continuous matter
• Dimensional reduction of the CPT-even electromagnetic sector of the Standard Model Extension
• Classical solutions for the Carroll-Field-Jackiw-Proca electrodynamics
• Aspects of Infrared Modifications of Gravity
• Stationary solutions for the parity-even sector of the CPT-even and Lorentz-covariance-violating term of the standard model extension
• Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
• 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
• The full CPT-even photon sector of the Standard Model Extension at finite temperature
• Vacuum Cherenkov Radiation In Quantum Electrodynamics With High-Energy Lorentz Violation
• Vacuum Cherenkov effect in logarithmic nonlinear quantum theory
• No Vacuum Cerenkov Radiation Losses in the Timelike Lorentz-Violating Chern-Simons Theory
• Absence of Long-Wavelength Cerenkov Radiation With Isotropic Lorentz and CPT Violation
• Consistency analysis of a nonbirefringent Lorentz-violating planar model
• Emission and absorption of photons and the black-body spectra in Lorentz-odd Electrodynamics
• Chiral Cherenkov and chiral transition radiation in anisotropic matter
• Optical-Cavity Limits on Higher-Order Lorentz Violation
• External sources in a minimal and nonminimal CPT-odd Lorentz violating Maxwell electrodynamics
• (Gravitational) Vacuum Cherenkov Radiation
• Testing CPT- and Lorentz-odd electrodynamics with waveguides
• Nonminimal planar electrodynamics modified by higher-derivative terms
• Impact of Lorentz violation on anomalous magnetic moments of charged leptons
• Mode Analysis for Energetics of a Moving Charge In Lorentz- and CPT-Violating Electrodynamics
• Field sources in a CPT-even Lorentz-violation Maxwell electrodynamics
• Aspects of Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions
• Problems with Lorentz Violation Originating From a Cosmologically Varying Pseudoscalar Field
• Electromagnetic Radiation in chiral matter: the Cherenkov case
• Collisional energy loss and the Chiral Magnetic Effect
• Hadronic Lorentz Violation in Chiral Perturbation Theory Including the Coupling to External Fields
• Bounds on Lorentz-violating Yukawa couplings via lepton electromagnetic moments
• Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions: Radiative Corrections
• Anisotropic cold plasma modes in chiral vector Maxwell-Carroll-Field-Jackiw electrodynamics
• Birefringence induced by pp-wave modes in an electromagnetically active dynamic aether
• Radiation from an Oscillating Dipole in the Presence of Photon-Sector CPT and Lorentz Violation
• Lorentz-violating nonminimal coupling contributions in mesonic hydrogen atoms and generation of photon higher-order derivative terms
• Vacuum Radiation in $z=2$ Lifshitz QED
• Atomic and optical tests of Lorentz symmetry
• Constraints to Lorentz violation and ultrahigh-energy electrons in D-foamy space-times
• New Constraint for Isotropic Lorentz Violation from LHC Data
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
• Very Special Relativity: Cherenkov Effect and an Analogy with Minkowski's Electrodynamics of Continuous Media
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
• Vacuum Cherenkov radiation at finite temperature