Anomalous Global Currents and Compensating Fields in the BV Formalism

TL;DR

This paper develops a method to compute anomalies in global currents within the BV formalism by introducing compensating fields, demonstrated explicitly for the axial current in QCD.

Contribution

It presents a novel approach to calculating anomalies using compensating fields in the antifield formalism, applicable to various global transformations.

Findings

Explicit calculation of axial current anomaly in QCD

General method for anomalies in the BV formalism

Applicable to any global transformation

Abstract

We compute the anomalous divergence of currents associated with global transformations in the antifield formalism, by introducing compensating fields that gauge these transformations. We consider the explicit case of the global axial current in QCD but the method applies to any global transformation of the fields.