No Vacuum Cerenkov Radiation Losses in the Timelike Lorentz-Violating Chern-Simons Theory

Abstract

In a Lorentz- and CPT-violating modification of electrodynamics that includes a timelike Chern-Simons term, there are no energy losss through vacuum Cerenkov radiation. A charge moving with a constant velocity does not lose energy, because of an unusual cancellation. Higher frequency modes of the electromagnetic field carry away positive energy, but lower frequency modes carry away a compensating negative amount of energy.

11 pages

References in corpus (5)

• Lorentz-violating electrodynamics and the cosmic microwave background
• Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation
• Failure of Gauge Invariance in the Nonperturbative Formulation of Massless Lorentz-Violating QED
• Cerenkov Radiation in a Lorentz-Violating and Birefringent Vacuum
• Absence of Long-Wavelength Cerenkov Radiation With Isotropic Lorentz and CPT Violation

Cited by in corpus (15)

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• Vacuum Cherenkov radiation for Lorentz-violating fermions
• Effects of CPT-odd terms of dimensions three and five on electromagnetic propagation in continuous matter
• Cherenkov Radiation with Massive, CPT-violating Photons
• (Gravitational) Vacuum Cherenkov Radiation
• 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
• Problems with Lorentz Violation Originating From a Cosmologically Varying Pseudoscalar Field
• Testing the Ampère-Maxwell law on the photon mass and Lorentz-Poincaré symmetry violation with MMS multi-spacecraft data
• Radiation from an Oscillating Dipole in the Presence of Photon-Sector CPT and Lorentz Violation
• Vacuum Radiation in $z=2$ Lifshitz QED
• No Contact Terms for the Magnetic Field in Lorentz- and CPT-Violating Electrodynamics
• New Constraint for Isotropic Lorentz Violation from LHC Data
• Vacuum Cherenkov radiation at finite temperature