Absence of coexisting phase of quark-antiquark and diquark condensed phases in the extended Gross-Neveu model in $2 + 1$ dimensions

TL;DR

This paper investigates the phase structure of a 2+1 dimensional extended Gross-Neveu model, finding that unlike in 3+1 dimensions, quark-antiquark and diquark condensates do not coexist in cold quark matter.

Contribution

It demonstrates the absence of coexisting condensate phases in the 2+1 dimensional model, contrasting with known results in 3+1 dimensions.

Findings

Coexisting phase is absent in 2+1 dimensions

Contrasts with 3+1 dimensional NJL model

Provides insights into dimensional effects on quark matter phases

Abstract

We show that the coexisting phase of quark-antiquark and diquark condensed phases is absent in the cold quark matter in the $2 + 1$ dimensional extended Gross-Neveu model, which is in sharp contrast to the case of $3 + 1$ dimensional Nambu--Jona-Lasinio model.