Chiral determinant on the lattice -- Anomalies and Instantons

TL;DR

This paper presents a lattice formulation for chiral fermions that accurately reproduces anomalies and suppresses topologically non-trivial configurations, advancing the understanding of chiral gauge theories on the lattice.

Contribution

It introduces an overlap-based effective action for chiral fermions on the lattice that correctly captures anomalies and topological effects in two and four dimensions.

Findings

Correct abelian anomaly is reproduced

Gauge configurations with non-zero topological charge are suppressed

Effective action has promising properties in 2D and 4D

Abstract

An expression for the lattice effective action induced by chiral fermions in any even dimensions in terms of an overlap of two states is shown to have promising properties in two and four dimensions: The correct abelian anomaly is reproduced and gauge field configurations with non-zero topological charge are completely suppressed.