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.
Digital Object Identifier (DOI)
Published in Physical Review D, Volume 92, Issue 12, 2015.
© 2015 American Physical Society
Schober, K., & Altschul, B. (2015). No vacuum Cerenkov radiation losses in the timelike Lorentz-violating Chern-Simons theory. Physical Review D, 92(12). https://doi.org/10.1103/physrevd.92.125016