The ambiguity-free four-dimensional Lorentz-breaking Chern-Simons action

TL;DR

This paper derives a Lorentz-breaking four-dimensional Chern-Simons action as a one-loop correction, demonstrating its regularization independence, which is a novel feature compared to previous approaches.

Contribution

It introduces a new scheme for deriving the Lorentz-breaking Chern-Simons action that is regularization independent and explicitly shows its finite, determined form.

Findings

The action is generated as a one-loop perturbative correction.

The resulting Chern-Simons term is regularization independent.

The scheme differs from previous calculation methods.

Abstract

The four dimensional Lorentz-breaking finite and determined Chern-Simons like action is generated as a one loop perturbative correction via an appropriate Lorentz-breaking coupling of the gauge field with the spinor field. Unlike the known schemes of calculations, within this scheme this term is found to be regularization independent.