Update on lattice QCD with domain wall quarks

Abstract

Using domain wall fermions, we estimate B_K(mu approx 2 GeV)=0.602(38) in quenched QCD which is consistent with previous calculations. We also find ratios of decay constants that are consistent with experiment, within our statistical errors. Our initial results indicate good scaling behavior and support expectations that O(a) errors are exponentially suppressed in low energy (E<< a^{-1}) observables. It is also shown that the axial current numerically satisfies the lattice analog of the usual continuum axial Ward identity and that the matrix element of the four quark operator needed for B_K exhibits excellent chiral behavior.