QCD with domain wall quarks

Abstract

We present lattice calculations in QCD using Shamir's variant of Kaplan fermions which retain the continuum $\mathrm{SU}(\mathrm{N}{)}_{L}\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(\mathrm{N}{)}_{R}$ chiral symmetry on the lattice in the limit of an infinite extra dimension. In particular, we show that the pion mass and the four quark matrix element related to ${K}_{0}\ensuremath{-}{\overline{K}}_{0}$ mixing have the expected behavior in the chiral limit, even on lattices with modest extent in the extra dimension, e.g., ${N}_{s}=10$.