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No Vacuum Cerenkov Radiation Losses in the Timelike Lorentz-Violating Chern-Simons Theory
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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.
Forward citations
Cited by 2 Pith papers
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Cherenkov radiation in isotropic chiral matter: the space-frequency domain
A charge moving through chiral matter radiates Cherenkov light in two independent polarization modes, one of which can radiate at sub-luminal speeds.
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Vacuum Cherenkov radiation for nonminimal dimension-5 Lorentz violation
Isotropic dimension-5 Lorentz violation in fermions is constrained to below 1e-18 GeV^-1 (proton, m-type) and 3e-28 GeV^-1 (proton, a-type) by the absence of vacuum Cherenkov radiation in cosmic rays.
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