Domain-wall fermions with U(1) dynamical gauge fields in (4+1)-dimensions

Abstract

We carry out a numerical simulation of a domain-wall model in (4+1) dimensions, in the presence of a quenched U(1) dynamical gauge field only in an extra dimension, corresponding to the weak coupling limit of a (4-dimensional) physical gauge coupling. Our numerical data suggest that the zero mode seems absent in the symmetric phase, so that it is difficult to construct a lattice chiral gauge theory in the continuum limit.

Comments: 3 pages, latex, 5 figures, Talk presented at LATTICE96(chiral gauge) by K. Nagai