QCD with domain wall quarks

We present lattice calculations in QCD using Shamir’s variant of Kaplan fermions which retain the continuum $\mathrm{SU}(\mathrm{N}{)}_L\times \mathrm{SU}(\mathrm{N}{)}_R$ 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 $K_0-{\overline{K}}_0$ mixing have the expected behavior in the chiral limit, even on lattices with modest extent in the extra dimension, e.g., $N_s=10\mathrm{}$.