Chiral symmetry on the lattice

TL;DR

This paper discusses the development and significance of chiral symmetry on the lattice, highlighting its role in understanding gauge theories like QCD and the progress made in formulating chiral fermions.

Contribution

It reviews analytic developments in lattice gauge theory related to chiral symmetry, chiral fermions, and improvement programs, emphasizing their impact on non-perturbative studies.

Findings

Advances in lattice formulations of chiral symmetry

Insights into chiral fermions and gauge invariance

Historical perspective on chiral symmetry on the lattice

Abstract

As a non-perturbative and gauge invariant regularization the lattice provides a tool for deeper understanding of the celebrated Yang-Mills theory, QCD and chiral gauge theories. For illustration, I discuss some analytic developments on the lattice related to chiral symmetry, chiral fermions and improvement programs. Chiral symmetry on the lattice has an amazing history, and it might influence our perception of a symmetry beyond this example.