Lorentz Symmetry Breaking in Quantum Electrodynamics

TL;DR

This paper investigates the effects of Lorentz symmetry breaking in quantum electrodynamics, focusing on fermion interactions, radiative corrections, and the induced Chern-Simons term, revealing modifications to photon propagation.

Contribution

It introduces a detailed analysis of Lorentz symmetry breaking effects in QED, including perturbative treatment and the emergence of a Chern-Simons term in four dimensions.

Findings

Lorentz breaking terms act as perturbations to the Dirac equation.

Radiative corrections induce a Chern-Simons like term in (3+1)D.

Photon propagation speeds are affected by Lorentz symmetry breaking.

Abstract

In this dissertation, we study the implications generated by the Lorentz breaking symmetry in quantum electrodynamics. We analyze fermions interacting with an electromagnetic field in the contexts of quantum mechanics and make radiative corrections. In quantum mechanics, the terms of the Lorentz breaking symmetry were treated as perturbations to the Dirac equation, and their expected values were obtained in a vacuum. In the radiative corrections, the Lorentz breaking symmetry was introduced in this interaction for the Chern-Simons like term could be induced in (3 +1) dimensions. We also discussed the consequences generated by this term on the propagation speeds of classic photons.