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

TL;DR

This paper investigates fermion-gauge interactions in the Wilson-Yukawa lattice approach for chiral gauge theories, revealing a persistent chiral coupling structure in the continuum limit and analyzing external gauge field interactions.

Contribution

It demonstrates that fermion-gauge couplings in this approach retain a chiral, tree-like structure in the continuum limit and explores fermion-scalar and external gauge interactions.

Findings

Fermion-gauge coupling remains non-zero in the continuum limit.

Couplings exhibit a chiral and tree-like structure.

External gauge interactions also show a chiral structure.

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 fermion-scalar 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.