Fermion Interactions in the Wilson-Yukawa Approach for Lattice Chiral Gauge Theories

Abstract

We consider fermion-gauge couplings in the Wilson-Yukawa approach for lattice chiral gauge theories. At the leading order of a fermionic hopping parameter expansion we find that the fermion-gauge coupling has a chiral and tree-like structure. We argue that this fermion-gauge coupling remains non-zero in the continuum limit taken in the Higgs phase. Possible fermionscalar couplings in this approach are considered. We also evaluate the fermion interaction with an external gauge field in the slightly modified model and show that it has a chiral structure in general.