Regularized overlap and the chiral determinant

TL;DR

This paper explores the connection between continuum overlap and chiral determinants, introduces a regularised version, and analyzes the resulting chiral anomalies to clarify their relationship.

Contribution

It constructs a regularised continuum overlap and investigates the associated chiral anomalies, clarifying their relation to unregularised overlap anomalies.

Findings

Regularised continuum overlap differs from unregularised version

Chiral anomalies are affected by the regularisation process

The relationship between different anomaly derivations is clarified

Abstract

We study the relationship between the continuum overlap and its corresponding chiral determinant, showing that the former amounts to an unregularised version of the latter. We then construct a regularised continuum overlap, and consider the chiral anomalies that follow therefrom. The relation between these anomalies and the ones derived from the formal (i.e., unregularised) overlap is elucidated.