Lattice investigation of an inhomogeneous phase of the 2+1-dimensional Gross-Neveu model in the limit of infinitely many flavors

TL;DR

This paper explores the phase structure of the 2+1-dimensional Gross-Neveu model at large fermion flavors, revealing an inhomogeneous phase similar to lower-dimensional cases through numerical analysis.

Contribution

It provides the first lattice investigation of an inhomogeneous phase in the 2+1-dimensional Gross-Neveu model, considering different fermion representations.

Findings

Evidence for an inhomogeneous phase in the model

Implications of fermion representation on symmetry interpretation

Numerical results supporting phase structure hypotheses

Abstract

We investigate the phase structure of the 2+1-dimensional Gross-Neveu model in the large-Nf limit, where Nf denotes the number of fermion flavors. We discuss two different fermion representations and their implication on the interpretation of a discrete symmetry of the action. We present numerical results, which indicate the existence of an inhomogeneous phase similar as in the 1+1-dimensional Gross-Neveu model.