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

Abstract

Using domain wall fermions, we estimate $B_K(\mu \approx 2GeV)=0.628(47)$ 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.

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

References in corpus (3)

• A Method for Simulating Chiral Fermions on the Lattice
• Chiral Fermions from Lattice Boundaries
• Axial symmetries in lattice QCD with Kaplan fermions

Cited by in corpus (1)

• Scaling property of domain-wall QCD in perturbation theory