  A serious difficulty in conventional lattice field theory calculations is the
coupling between the chiral and continuum limits. With both staggered and
Wilson fermions, the chiral limit cannot be realized without first taking the
limit of vanishing lattice spacing. In this talk, we report on extensive
studies of the domain wall formulation of lattice fermions, which avoids this
difficulty at the expense of requiring that fermion propagators be computed in
five dimensions. A variety of results will be described for quenched and
dynamical simulations at both zero and finite temperature. Conclusions about
the benefits of this new method and some new physical results will be
presented. These results were obtained on the QCDSP machines recently put into
operation at Columbia and the RIKEN Brookhaven Research Center.
