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

摘要

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