Managing gamma_5 in Dimensional Regularization and ABJ Anomaly

TL;DR

This paper introduces an integral representation for gamma_5 in dimensional regularization that maintains Lorentz covariance and naturally derives the ABJ anomaly, providing a consistent approach to chiral symmetry issues.

Contribution

It proposes a novel integral representation for gamma_5 that preserves Lorentz covariance and correctly reproduces the ABJ anomaly in dimensional regularization.

Findings

Lorentz covariance is preserved in the new gamma_5 representation

ABJ anomaly is derived naturally from the approach

Verification of the Local Functional Equation for x-dependent chiral transformations

Abstract

An integral representation is proposed for the trace involving gamma_5 in dimensional regularization. Lorentz covariance is preserved. ABJ anomaly naturally follows. The Local Functional Equation associated to x-dependent chiral transformations is verified.