Recent Developments of Domain-wall/Overlap Fermions for Lattice QCD

TL;DR

This paper reviews recent advances in domain-wall and overlap fermions for lattice QCD, focusing on optimizing chiral symmetry at finite fifth-dimensional sites and efficient computation of quark propagators.

Contribution

It introduces methods to optimize chiral symmetry in domain-wall/overlap fermions and discusses efficient computation techniques for quark propagators in lattice QCD.

Findings

Enhanced chiral symmetry at finite N_s

Efficient computation of quark propagators

Improved lattice formulations for vector-like gauge theories

Abstract

I review the lattice formulations of vector-like gauge theories (e.g. QCD) with domain-wall/overlap fermions, and discuss how to optimize the chiral symmetry for any finite $ N_s $ (sites in the fifth dimension). In this formulation, quark propagators in gauge background can be computed efficiently through the effective 4D lattice Dirac operator.