The Ginsparg-Wilson relation and overlap fermions

TL;DR

This paper reviews the physics of Ginsparg-Wilson lattice fermions, their connection to domain wall fermions, and discusses numerical simulation methods for overlap fermions, contributing to the understanding of chiral symmetry on the lattice.

Contribution

It provides a comprehensive review of Ginsparg-Wilson relation, domain wall fermions, and numerical techniques for overlap fermions, enhancing the theoretical and computational framework in lattice QCD.

Findings

Clarifies the relation between Ginsparg-Wilson fermions and domain wall fermions.

Describes methodologies for numerical simulations with overlap fermions.

Contributes to the understanding of chiral symmetry preservation in lattice QCD.

Abstract

I review the physics of lattice fermions obeying the Ginsparg-Wilson relation. I describe their relation to domain wall fermions. I give a description of methodology for performing numerical simulations with overlap fermions. This is a chapter contributed to the on-line book ``Lattice QCD at 50 years,'' (LQCD@50), edited by Tanmoy Bhattacharya, Maarten Golterman, Rajan Gupta, Laurent Lellouch, and Steve Sharpe.