Domain wall quarks and kaon weak matrix elements

Details Domain wall quarks and kaon weak matrix elements Domain wall quarks and kaon weak matrix elements

1997-06-30

arxiv.org/abs/hep-lat/9706023v2

Phys.Rev.Lett. 79 (1997) 3595-3598

Physics

High Energy Physics

High Energy Physics - Lattice

Published version. Minor changes from original. 13 pages including 4 figures

Scientific paper

10.1103/PhysRevLett.79.3595

We present lattice calculations of kaon matrix elements with domain wall fermions. Using lattices with beta=5.85, 6.0, and 6.3, we estimate B_K(approx 2 GeV)=0.628(47) in quenched QCD which is consistent with previous calculations. At beta=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<< 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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