Abstract
We present results from the first large-scale study of two-flavor QCD using domain wall fermions (DWF), a chirally symmetric fermion formulation which has been proven to be very effective in the quenched approximation. We work on lattices of size ${16}^{3}\ifmmode\times\else\texttimes\fi{}32$, with a lattice cutoff of ${a}^{\ensuremath{-}1}\ensuremath{\approx}1.7\text{ }\text{ }\mathrm{GeV}$ and dynamical (or sea) quark masses in the range ${m}_{\mathrm{strange}}/2\ensuremath{\lesssim}{m}_{\mathrm{sea}}\ensuremath{\lesssim}{m}_{\mathrm{strange}}$. After discussing the algorithmic and implementation issues involved in simulating dynamical DWF, we report on the low-lying hadron spectrum, decay constants, static quark potential, and the important kaon weak matrix element describing indirect $CP$ violation in the standard model, ${B}_{K}$. In the latter case we include the effect of nondegenerate quark masses (${m}_{s}\ensuremath{\ne}{m}_{u}={m}_{d}$), finding ${B}_{K}^{\overline{MS}}(2\text{ }\text{ }\mathrm{GeV})=0.495(18)$.
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