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

TL;DR

This paper demonstrates that in a modified electrodynamics with a timelike Chern-Simons term, vacuum Cerenkov radiation does not cause energy loss due to a unique cancellation between different frequency modes.

Contribution

It shows that in Lorentz- and CPT-violating electrodynamics, vacuum Cerenkov radiation does not lead to energy loss, contrary to previous expectations.

Findings

No energy loss through vacuum Cerenkov radiation in the model

Higher frequency modes carry positive energy, lower frequency modes carry negative energy

Charge moving at constant velocity does not lose energy

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.