Lattice investigation of the phase diagram of the 1+1 dimensional Gross-Neveu model at finite number of fermion flavors

TL;DR

This paper investigates the phase diagram of the 1+1 dimensional Gross-Neveu model at finite fermion flavors using lattice simulations, revealing a new inhomogeneous phase with spatially oscillating condensates.

Contribution

It provides the first lattice evidence for an inhomogeneous phase in the Gross-Neveu model at finite fermion flavors.

Findings

Identification of a chirally symmetric phase.

Detection of a homogeneously broken phase.

Evidence for an inhomogeneous phase with oscillating condensate.

Abstract

We explore the phase structure of the 1+1 dimensional Gross-Neveu model at finite number of fermion flavors using lattice field theory. Besides a chirally symmetric phase and a homogeneously broken phase we find evidence for the existence of an inhomogeneous phase, where the condensate is a spatially oscillating function. Our numerical results include a crude $\mu$-$T$ phase diagram.