Aspects of Domain-Wall Fermion on the Lattice

Abstract

Two transparent layers are introduced at the boundaries of the fifth dimension for the optimal domain-wall fermions. For the quark fields defined in terms of these two transparent layers, they obey the usual chiral projection rule in the continuum, independent of the gauge fields. Consequently, any observable constructed with the quark fields manifests the symmetries exactly as those of its counterpart in the continuum.