Gauge anomalies in Lorentz-violating QED

TL;DR

This paper investigates gauge anomalies in Lorentz-violating QED using algebraic renormalization, concluding that the theory remains free of gauge anomalies at all perturbative orders.

Contribution

It applies the BRST formalism and algebraic renormalization to demonstrate anomaly freedom in Lorentz-violating QED.

Findings

Lorentz-violating QED is anomaly-free at all orders.

The algebraic approach confirms scheme independence.

The study provides a general proof of anomaly absence.

Abstract

In this work we study the issue of gauge anomalies in Lorentz-violating QED. To do so, we opt to use the Becchi-Rouet-Stora-Tyutin formalism within the algebraic renormalization approach, reducing our study to a cohomology problem. Since this approach is independent of the renormalization scheme, the results obtained here are expected to be general. We find that the Lorentz-violating QED is free of gauge anomalies to all orders in perturbation theory.