Computation of the Chiral Anomaly in the Bulk Quantization

TL;DR

This paper demonstrates how bulk quantization regularizes a four-dimensional massless fermion theory and reproduces the known chiral anomaly through Ward identity evaluation.

Contribution

It introduces a bulk quantization approach to regularize and analyze chiral anomalies in gauge theories, providing a novel computational framework.

Findings

Successfully reproduces the chiral anomaly using bulk quantization

Validates the Ward identity in the regularized theory

Provides a new method for anomaly computation in gauge theories

Abstract

The bulk quantization method is used for regularizing a conventional four dimensional theory of massless fermions coupled to an external non-Abelian gauge field and for subsequently evaluating the associated Ward identity. As a result one obtains the well-known chiral anomaly.