On perturbative aspects of a nonminimal Lorentz-violating QED with CPT-odd dimension-5 terms

TL;DR

This paper investigates the perturbative structure of a Lorentz-violating extended QED with dimension-5 CPT-odd terms, analyzing the generation of the CFJ term and higher-derivative divergences.

Contribution

It demonstrates the conditions under which the CFJ term vanishes and shows how to eliminate higher-derivative divergences through specific coefficient relations.

Findings

CFJ term can vanish depending on regularization scheme

Higher-derivative divergences can be eliminated by proportionality of coefficients

Provides insight into the perturbative stability of Lorentz-violating QED

Abstract

We consider the Lorentz-violating extended QED involving all nonminimal dimension-5 additive CPT-odd terms. For this theory, we investigate the possibility of generating the Carroll-Field-Jackiw (CFJ) term of the first order in any of these nonminimal couplings. This term is demonstrated to vanish in certain regularization schemes. We also study the question of higher-derivative divergent contributions and demonstrate that they can be eliminated by considering a given proportionality between the coefficients.