Recent developments of domain-wall/overlap fermions for lattice QCD

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 Ns (sites in the fifth dimension). In this formulation, quark propagators in gauge background can be computed efficiently through the effective 4D lattice Dirac operator. © 2004 Elsevier B.V. All rights reserved.