Domain wall fermions in quenched lattice QCD

We study the chiral properties and the validity of perturbation theory for domain wall fermions in quenched lattice QCD at $\beta =\mathrm{6.0.}\mathrm{}$ The explicit chiral symmetry breaking term in the axial Ward-Takahashi identity is measured up to $N_s=10,$ where $N_s$ is the size of the fifth dimension, and its behavior seems consistent with an exponential decay in $N_s$ within the limited range of $N_s$ we explore. From the fact that the critical quark mass, at which the pion mass vanishes as in the case of the ordinary Wilson-type fermion, exists at finite $N_s,$ we point out that this may be a signal of the parity broken phase and investigate the possible existence of such a phase in this model at finite $N_s.$ The $\rho$ and $\pi$ meson decay constants obtained from the four-dimensional local currents with the one-loop renormalization factor show a good agreement with those obtained from the conserved currents.