Anomalies From the Covariant Derivative Expansion

TL;DR

This paper refines the calculation of anomalies in gauge and global symmetries using the Covariant Derivative Expansion, introducing a new regularization scheme and a master formula to unify existing results.

Contribution

It presents a novel regularization approach within the CDE framework and derives a master formula that consolidates different anomaly calculations.

Findings

A class of regulators enabling anomaly evaluation in 4D

A unified master formula for anomalies

Clarification of regularization dependence in anomaly calculations

Abstract

We revisit the calculation of anomalies for global and gauge symmetries in the framework of the Covariant Derivative Expansion (CDE). Due to the presence of UV divergences, the result is an ambiguous quantity that depends on the regularization procedure and the renormalization scheme. We introduce a class of regulators that facilitate a straightforward evaluation of the anomaly exclusively in $d=4$ spacetime dimensions using the CDE methodology. We derive a master formula for the anomaly that integrates various known results into a unified framework.