Electromagnetic interaction in theory with Lorentz invariant CPT violation

TL;DR

This paper explores a Lorentz invariant, CPT-violating extension of QED with particle-antiparticle mass splitting, analyzing its implications for electromagnetic processes and potential relevance to baryon asymmetry.

Contribution

It introduces a non-local, CPT-violating model that preserves gauge invariance and discusses its effects on electromagnetic interactions and symmetry violations.

Findings

Electromagnetic interactions break C, CP, and CPT symmetries.

The model maintains gauge invariance via Schwinger phase factors.

Implications for baryon asymmetry and Sakharov constraints are discussed.

Abstract

An attempt is made to incorporate the electromagnetic interaction in a Lorentz invariant but CPT violating non-local model with particle-antiparticle mass-splitting, which is regarded as a modified QED. The gauge invariance is maintained by the Schwinger non-integrable phase factor but the electromagnetic interaction breaks C, CP and CPT symmetries. Implications of the present CPT breaking scheme on the electromagnetic transitions and particle-antiparticle pair creation are discussed. The CPT violation such as the one suggested here may open a new path to the analysis of baryon asymmetry since some of the Sakharov constraints are expected to be modified.