Gross-Neveu model with Borici-Creutz fermion

TL;DR

This paper explores the phase transition behavior of the Gross-Neveu model on a 2-D lattice using Borici-Creutz fermions, combining analytical strong coupling analysis with Monte Carlo simulations.

Contribution

It provides the first combined analytical and numerical study of the Gross-Neveu model with Borici-Creutz fermions, revealing a second order chiral phase transition.

Findings

Both analytic and lattice results confirm a second order chiral phase transition.

The study demonstrates the viability of Borici-Creutz fermions in lattice simulations.

Strong coupling analysis aligns with Monte Carlo simulation outcomes.

Abstract

We investigate the chiral phase structure of the Gross-Neveu model on a 2-D lattice using the Borici-Creutz fermion action. We present a strong coupling analysis of the Gross-Neveu model and perform a hybrid Monte Carlo simulation of the model with Borici-Creutz fermions. Both analytic and lattice results show a second order chiral phase transition.