Chiral symmetry breaking for domain wall fermions in quenched lattice QCD

The domain wall fermion formulation exhibits full chiral symmetry for finit e lattice spacing except for the effects of mixing between the domain walls . Close to the continuum limit these symmetry breaking effects should be de scribed by a single residual mass. We determine this mass from the conserva tion law obeyed by the conserved axial current in quenched simulations with beta = 5.7 and 6.0 and domain wall separations varying between 12 and 48 o n 8(3) x 32 and 16(3) x 32 lattices. Using the resulting values for the res idual mass we perform two complete and independent calculations of the pion decay constant. Good agreement is found between these two methods and with experiment.