Regulated chiral gauge theory

TL;DR

This paper discusses the topological aspects of chiral gauge theories, demonstrating how the overlap method preserves zero modes and explaining the inevitability of chiral anomalies in such systems.

Contribution

It introduces the overlap approach to chiral gauge theories, highlighting its ability to maintain continuum zero modes and elucidate anomaly phenomena.

Findings

Overlap preserves continuum zero modes in gauge backgrounds.

Chiral anomalies are shown to be unavoidable.

The approach relates to topological properties of fermion systems.

Abstract

After a brief introduction to the overlap two examples relating to topological properties of chiral fermion systems in interaction with gauge fields are presented: It is shown how the overlap preserves the continuum structure of exact fermionic zero modes in gauge backgrounds that are instanton-like and why chiral anomalies are inevitable.