Domain wall quarks and kaon weak matrix elements
Abstract
We present lattice calculations of kaon matrix elements using domain wall fermions. In particular, we calculate the B parameter, B_K, related to the four quark matrix element governing K-Kbar mixing, and the kaon decay constant. Using three values of the gauge coupling, beta=5.85, 6.0, and 6.3, we estimate B_K=0.628(47) in quenched QCD which agrees with previous calculations. At beta=6.0 and 5.85 we find the ratio f_K/m_rho in good agreement with the experimental value. These results support expectations that O(a) errors are exponentially suppressed in low energy (E<< 1/a) observables, and show that domain wall fermions have good scaling behavior at relatively strong couplings. We also show that the axial current constructed with domain wall quarks numerically satisfies the lattice analog of the usual continuum axial Ward identity.Keywords
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