Chiral Fermions on the Lattice

TL;DR

This paper presents a new approach to modeling chiral fermions on the lattice, successfully reproducing anomalies and suppressing instantons in two dimensions, which advances lattice gauge theory methods.

Contribution

It introduces an overlap-based expression for the lattice effective action that accurately captures chiral fermion effects in even dimensions.

Findings

Correct abelian anomaly is reproduced

Instantons are suppressed in two dimensions

The method shows promising properties for lattice simulations

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 dimensions: The correct abelian anomaly is reproduced and instantons are suppressed.