New algebraic equation determining anomalies

TL;DR

This paper introduces a new algebraic equation that unifies the determination of different spinor loop anomalies, including the Wess-Zumino consistency condition, and applies it to chiral anomalies.

Contribution

It presents a novel algebraic relation that simultaneously determines consistent and covariant anomalies, advancing the theoretical understanding of anomaly calculations.

Findings

Unified algebraic framework for anomalies

Derivation of consistent and covariant anomalies together

Application to chiral anomaly example

Abstract

We derive a new algebraic relation which can be used to find various spinor loop anomalies. We show that this relation includes the Wess-Zumino consistency condition. For an example, we consider the chiral anomaly. With this formalism, the consistent anomaly and the covariant anomaly are determined simultaneously.