Talk presented by Matthew Wingate

Parallel Session: QCD Spectrum and Quark Masses II

Thursday July 1st, 14.50 - 15.10, Auditorium

Quark Masses using Domain Wall Fermions

Abstract: Due to the attractive features that domain wall fermions possess with respect to chiral symmetry, we continue our investigation of the quark masses with this discretization. Achieving reliable results, especially for $(m_u + m_d)/2$, requires strict control of systematic uncertainties. Our present results were obtained within the quenched approximation at two lattice spacings with spatial volumes $\approx (1.5~{\rm fm})^3$. Consequently we remark on effects of finite volume as well as finite extent in the fictitious fifth dimension. We compute the renormalization factors nonperturbatively and compare to the one--loop perturbative result. Finally we remark on methods designed to reduce the necessary number of sites in the fifth dimension. [ORGANIZERS: it would be preferable if this talk could follow that by Lingling Wu (Columbia)].

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