English

The Ginsparg-Wilson relation and overlap fermions

High Energy Physics - Lattice 2026-03-06 v2

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.

Keywords

Cite

@article{arxiv.2512.07743,
  title  = {The Ginsparg-Wilson relation and overlap fermions},
  author = {Thomas DeGrand},
  journal= {arXiv preprint arXiv:2512.07743},
  year   = {2026}
}

Comments

19 pages, 2 figures. LaTeX. Version reviewed by editor: derivations fixed, references added, typos corrected