Vacuum contribution of photons in the theory with Lorentz andCPT-violating terms

Abstract

The photon contribution to the divergences and conformal anomaly in the theory with Lorentz and $CPT$-violating terms is evaluated. We calculate one-loop counterterms coming from the integration over the electromagnetic field and check that they possess local conformal invariance. Furthermore, conformal anomaly and the anomaly-induced effective action are calculated. It turns out that the new terms do not affect the dynamics of the conformal factor in the anomaly-driven inflation (Starobinsky model) and its extensions. At the same time, one can expect these terms to affect the gravitational wave equation and, in general, cosmic perturbations.