Chiral Defect Fermions and the Layered Phase

Abstract

Chiral defect fermions on the lattice in 4+1 dimensions are analyzed using mean field theory. The fermion propagator has a localized chiral mode in weak coupling but loses it when the coupling in the unphysical fifth direction becomes too large. A layered phase à la Fu-Nielsen appears where the theory is vector-like in every layer.

Comments: 9 pages + postscript figure (We have correctly quoted the work of our reference 10 in the paper)