Phase diagram of quark-antiquark and diquark condensates in the 3-dimensional Gross Neveu model with the 4-component spinor representation

Abstract

We construct the phase diagram of the quark-antiquark and diquark condensates at finite temperature and density in the 2 + 1 dimensional (3D) two flavor massless Gross Neveu (GN) model with the 4-component quarks. In contrast to the case of the 2-component quarks, there appears the coexisting phase of the quark-antiquark and diquark condensates. This is the crucial difference between the 2-component and 4-component quark cases in the 3D GN model. The coexisting phase is also seen in the 4D Nambu Jona-Lasinio model. Then we see that the 3D GN model with the 4-component quarks bears closer resemblance to the 4D Nambu Jona-Lasinio model.

11 pages, 3 figures, revtex

References in corpus (4)

• Critical and Tricritical Points for the Massless 2d Gross-Neveu Model Beyond Large N
• Phase diagram of quark-antiquark and diquark condensates at finite temperature and density in the 3-dimensional Gross Neveu model
• The three-dimensional noncommutative Gross-Neveu model
• Absence of coexisting phase of quark-antiquark and diquark condensed phases in the extended Gross-Neveu model in $2+1$ dimensions

Cited by in corpus (1)

• Interplay between superconductivity and chiral symmetry breaking in a (2+1)-dimensional model with compactified spatial coordinate