One-Loop Renormalization of Lorentz-Violating Electrodynamics

TL;DR

This paper demonstrates that a Lorentz- and CPT-violating extension of quantum electrodynamics remains renormalizable at one loop, providing beta functions and analyzing the evolution of Lorentz-violating parameters with implications for theory and experiments.

Contribution

It establishes the one-loop renormalizability of Lorentz- and CPT-violating QED and derives the beta functions for the Lorentz-violating coefficients.

Findings

The theory is one-loop renormalizable.

Explicit beta functions for Lorentz-violating coefficients are obtained.

Implications for experimental tests of Lorentz violation are discussed.

Abstract

We show that the general Lorentz- and CPT-violating extension of quantum electrodynamics is one-loop renormalizable. The one-loop Lorentz-violating beta functions are obtained, and the running of the coefficients for Lorentz and CPT violation is determined. Some implications for theory and experiment are discussed.