A class of chiral fermion models

TL;DR

This paper investigates the connection between two lattice formulations for chiral fermions, demonstrating their equivalence and analyzing the phase diagram of related chiral Yukawa models through mean-field approximation.

Contribution

It establishes the equivalence between Roma and Zaragoza lattice fermion models and applies this to study phase diagrams of chiral Yukawa models.

Findings

Roma and Zaragoza fermion models are equivalent.

Phase diagram of chiral Yukawa models is characterized.

Comparison shows differences based on interaction locality.

Abstract

We study the relation between the Roma and Zaragoza proposals for chiral fermions on the lattice. The fermion action in the Roma approach is shown to be equivalent to one of the Zaragoza type. This result is used to perform a mean-field study of the phase diagram for chiral Yukawa models based on the Roma action. The phase diagram is compared with the one based on the Zaragoza model with the most local choice for the fermion interactions.