Lattice QCD with domain wall quarks and applications to weak matrix elements

Details Lattice QCD with domain wall quarks and applications to weak matrix elements Lattice QCD with domain wall quarks and applications to weak matrix elements

1997-10-13

arxiv.org/abs/hep-lat/9710051v1

Nucl.Phys.Proc.Suppl. 63 (1998) 287-289

Physics

High Energy Physics

High Energy Physics - Lattice

Contribution to Lattice '97. 3 pages, 2 epsf figures

Scientific paper

10.1016/S0920-5632(97)00748-2

Using domain wall fermions, we estimate $B_K(\mu\approx 2 GeV)=0.628(47)$ in quenched QCD which is consistent with previous calculations. At $\gbeta=6.0$ and 5.85 we find the ratio $f_K/m_\rho$ in agreement with the experimental value, within errors. These results support expectations that $O(a)$ errors are exponentially suppressed in low energy ($E\ll a^{-1}$) observables, and indicate that domain wall fermions have good scaling behavior at relatively strong couplings. We also demonstrate that the axial current numerically satisfies the lattice analog of the usual continuum axial Ward identity.

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