Phase diagram of chiral and diquark condensates at finite temperature and density in the 2-dimensional Gross Neveu model

TL;DR

This paper constructs the phase diagram of chiral and diquark condensates at finite temperature and density in the 2D Gross Neveu model, revealing phases similar to higher-dimensional models and highlighting their qualitative consistency across dimensions.

Contribution

It provides the first detailed phase diagram of chiral and diquark condensates in the 2D Gross Neveu model, showing qualitative similarities with 3D and 4D models.

Findings

Identifies three distinct phases: chiral condensed, diquark condensed, and coexisting phases.

Shows phase structure in 2D matches that in higher-dimensional models.

Demonstrates qualitative consistency of phase diagrams across dimensions.

Abstract

We construct the phase diagram of the chiral and diquark condensates at finite temperature and density in the 1+1 dimensional (2D) two flavor massless Gross Neveu model. The resultant phase diagram shows (I) the chiral condensed phase at low temperature and density, (II) the diquark condensed phase at low temperature and high density, and (III) the chiral and diquark coexisting phase at low temperature and intermediate density. This phase structure is also seen in the 3D Gross Neveu model and the 4D Nambu Jona-Lasinio (NJL) model. Thus the phase diagrams of the chiral and diquark condensates in the NJL-type models do not change qualitatively in 2D, 3D and 4D.