Consistency of an alternative CPT-odd and Lorentz-violating extension of QED

TL;DR

This paper explores a novel Lorentz-violating extension of QED with a Palatini-like formulation, analyzing its classical and quantum consistency, and revealing a Lorentz-violating mass term.

Contribution

It introduces an alternative CPT-odd Lorentz-breaking QED model with a Palatini-like approach, including a Lorentz-violating mass term and examines its consistency.

Findings

The model is physically consistent at classical and quantum levels.

A Lorentz-violating mass term naturally arises in this formulation.

The approach offers new insights into Lorentz violation in gauge theories.

Abstract

We investigate an alternative CPT-odd Lorentz-breaking QED which includes the Carroll-Field-Jackiw (CFJ) term of the Standard Model Extension (SME), writing the gauge sector in the action in a Palatini-like form, in which the vectorial field and the field-strength tensor are treated as independent entities. Interestingly, this naturally induces a Lorentz-violating mass term in the classical action. We study physical consistency aspects of the model both at classical and quantum levels.