One-Loop Effective Action for the Extended Spinor Electrodynamics with Violation of Lorentz and CPT Symmetry

TL;DR

This paper calculates the one-loop effective action in extended spinor electrodynamics with Lorentz and CPT violation, showing the radiative induction of Chern-Simons and Maxwell terms using heat kernel and proper time methods.

Contribution

It provides an unambiguous derivation of the effective action in Lorentz and CPT violating QED with explicit calculations of induced terms.

Findings

Chern-Simons term is radiatively induced with a finite nonzero coefficient.

Maxwell term is induced with a logarithmic divergence.

The methods used clarify the effective action in Lorentz-violating QED.

Abstract

If violation of Lorentz and CPT symmetry is introduced into the fermion sector of conventional quantum electrodynamics, then the Chern-Simons term is radiatively induced with finite nonzero coefficient, as well as the Maxwell term is with logarithmically divergent one. The heat kernel expansion and the proper time methods are used to determine the effective action in the one-loop approximation unambiguously.