Bare and Induced Lorentz and CPT Invariance Violations in QED

TL;DR

This paper investigates Lorentz and CPT symmetry violations in quantum electrodynamics (QED) with a background field, analyzing their theoretical implications, regularization issues, and experimental constraints.

Contribution

It provides a detailed analysis of Lorentz and CPT violations in QED, focusing on regularization effects, photon mass induction, and experimental bounds.

Findings

Dimensional regularization can induce a finite photon mass in LIV QED.

Finite temperature radiative corrections are evaluated.

Experimental bounds on LIV parameters are discussed.

Abstract

We consider QED in a constant axial vector background (\AE ther). Further Lorentz invariance violations (LIV) might occur owing to radiative corrections. The phenomenology of this model is studied, clarifying issues related to the various regularizations employed, with a particular emphasis on the induced photon mass. To this concern, it is shown that in the presence of LIV dimensional regularization may produce a radiatively induced finite photon mass. The possible physical role of the large momentum cutoff is elucidated and the finite temperature radiative corrections are evaluated. Finally, various experimental bounds on the parameters of the model are discussed.