Adler-Bardeen theorem and vanishing of the gauge beta function

TL;DR

This paper extends the proof of the Adler-Bardeen theorem to models where the one-loop gauge beta function vanishes, providing insights into anomaly non-renormalization in such theories.

Contribution

It generalizes the non-renormalization theorem for gauge anomalies to include models with zero one-loop gauge beta function.

Findings

The Adler-Bardeen theorem holds in models with vanishing one-loop gauge beta function.

The proof is extended to a broader class of four-dimensional theories.

Implications for anomaly cancellation in specific gauge theories.

Abstract

The proof of the non-renormalization theorem for the gauge anomaly of four-dimensional theories is extended to the case of models with a vanishing one-loop gauge beta function.