# Chiral Anomaly on a Lattice

## TL;DR

This paper presents a method to compute the chiral anomaly on a finite lattice without fermion doubling, using a lattice gauge field inspired by noncommutative geometry, and recovers continuum formulas in the limit.

## Contribution

It introduces a novel lattice gauge field formulation that avoids fermion doubling and reproduces continuum anomalies, advancing lattice gauge theory techniques.

## Key findings

- Successfully computes chiral anomaly on finite lattice
- Reproduces continuum anomaly formulas in the limit
- Avoids fermion doubling problem

## Abstract

A calculation of the chiral anomaly on a finite lattice without fermion doubling is presented . The lattice gauge field is defined in the spirit of noncommutative geometry. Standard formulas for the continuum anomaly are obtained as a limit.