Two--dimensional lattice Gross--Neveu model with Wilson twisted mass fermions

TL;DR

This paper investigates the phase structure of the two-dimensional lattice Gross--Neveu model with Wilson twisted mass fermions, revealing that phase transition behaviors as a function of twisted mass parameter resemble those in lattice QCD.

Contribution

It provides the first detailed analysis of the phase structure of the Gross--Neveu model with Wilson twisted mass fermions, comparing it to standard Wilson fermions and lattice QCD.

Findings

Phase transition dependence on twisted mass parameter similar to lattice QCD.

Qualitative behavior of phase transitions remains consistent with previous studies.

Exploration of the phase structure enhances understanding of twisted mass fermion formulations.

Abstract

We study the two-dimensional lattice Gross--Neveu model with Wilson twisted mass fermions in order to explore the phase structure in this setup. In particular, we investigate the behaviour of the phase transitions found earlier with standard Wilson fermions as a function of the twisted mass parameter $\mu$. We find that qualitatively the dependence of the phase transitions on $\mu$ is very similar to the case of lattice QCD.