CN REALIZATION OF THE CHIRAL SYMMETRY IN THE LATTICE GAUGE THEORY CONTAINING THE U(I) CHIRAL GAUGE FIELD

We investigate the lattice gauge theory with a gauge group UxV(1) where U is a non-Abelian group and V(1) is a chiral Abelian group.In the strong coupling approximation for the U gauge field we find that the V(1) chiral symmetry is realized through parity doublets of composite fermions for strong V(1) coupling and that it is spontaneousely broken through a techni color-like mechanism for weak V(1) coupling.