Phase diagram of quark-antiquark and diquark condensates at finite temperature and density in the 3-dimensional Gross Neveu model

TL;DR

This paper constructs phase diagrams for quark-antiquark and diquark condensates at finite temperature and density in a 3D Gross Neveu model, revealing no coexistence region and similarities to 4D QCD phase structure.

Contribution

It provides the first detailed phase diagram analysis of the 3D Gross Neveu model, highlighting differences from 4D models and elucidating condensate behavior.

Findings

No coexistence of condensates in the phase diagram.

Phase structure resembles that of 4D QCD.

Distinct from 4D Nambu Jona-Lasinio model results.

Abstract

We construct the phase diagrams of the quark-antiquark and diquark condensates at finite temperature and density in the 3D (dimensional) 2-flavor Gross Neveu model. We found that, in contrast to the case of the 4D Nambu Jona-Lasinio model, there is no region where the quark-antiquark and diquark condensates coexist. The phase diagrams obtained for some parameter region show similar structure with the 4D QCD phase diagram.