On the consistency of Lorentz invariance violation in QED induced by fermions in constant axial-vector background

TL;DR

This paper demonstrates that parity-even Lorentz invariance violation in QED, induced by fermions in a constant axial-vector background, can be precisely calculated using a specialized regularization scheme, ensuring consistency in various scenarios.

Contribution

It introduces a minimally broken dimensional regularization scheme for calculating Lorentz invariance violation in QED with spontaneous symmetry breaking, providing a consistent quantization framework.

Findings

Lorentz invariance violation can be unambiguously computed in the proposed scheme.

Quantization remains consistent for both light-like and time-like axial-vector backgrounds.

The approach accommodates a bare photon mass to maintain consistency.

Abstract

We show for the first time that the induced parity--even Lorentz invariance violation can be unambiguously calculated in the physically justified and minimally broken dimensional regularization scheme, suitably tailored for a spontaneous Lorentz symmetry breaking in a field theory model. The quantization of the Lorentz invariance violating quantum electrodynamics is critically examined and shown to be consistent either for a light--like cosmic anisotropy axial--vector or for a time--like one, when in the presence of a bare photon mass.