Cerenkov Radiation in an Unstable Lorentz-Violating Theory

摘要

Naively, it looks like a Lorentz-violating theory with a timelike Chern-Simons term should exhibit vacuum Cerenkov radiation. However, the naive expectations are wrong, and the very same modes than may destabilize the theory in other contexts ensure that the Cerenkov losses for a charge moving with constant velocity are zero.