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

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.

arXiv comment15 pages, 3 figures; changed content

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Cited by in corpus (13)

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• Competition and duality correspondence between chiral and superconducting channels in (2+1)-dimensional four-fermion models with fermion number and chiral chemical potentials
• Phase transition in the massive Gross-Neveu model in toroidal topologies
• Interplay between superconductivity and chiral symmetry breaking in a (2+1)-dimensional model with compactified spatial coordinate
• Superconducting phase transitions induced by chemical potential in (2+1)-dimensional four-fermion quantum field theory
• Magnetic catalysis effect in (2+1)-dimensional Gross--Neveu model with Zeeman interaction
• Phase transition in the 3-D massive Gross-Neveu model
• Superconductivity phenomenon induced by external in-plane magnetic field in (2+1)-dimensional Gross--Neveu type model
• A Model to Study Finite-Size and Magnetic Effects on the Phase Transition of a Fermion Interacting System
• Phase diagram of quark-antiquark and diquark condensates in the 3-dimensional Gross Neveu model with the 4-component spinor representation
• Absence of coexisting phase of quark-antiquark and diquark condensed phases in the extended Gross-Neveu model in $2+1$ dimensions
• Quark-antiquark and diquark condensates in vacuum in two-flavor four-fermion interaction models with any color number $N_c$