A Lattice Chiral Theory with Multifermion Couplings

Abstract

Analyzing an $S{U}_L(2)\otimes U_R(1)$ chiral theory with multifermion couplings on a lattice, we find a possible region in the phase space of multifermion couplings, where no spontaneous symmetry breaking occurs, doublers are decoupled as massive Dirac fermions consistently with the $S{U}_L(2)\otimes U_R(1)$ chiral symmetry, the ``spectator'' fermion ${\psi }_R(x)$ is free mode, whereas the normal mode of ${\psi }_L^i(x)$ is plausibly speculated to be chiral in the continuum limit. This is not in agreement with the general belief of the definite failure of theories so constructed.

Comments: 14 pages and 1 figure, a revised version to appear in Phys. Lett. B