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.

arXiv comment11 pages, 3 figures, revtex

References in corpus (19)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• NJL-model analysis of dense quark matter
• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Color superconducting quark matter
• Superconductivity by long-range color magnetic interaction in high-density quark matter
• The Quark-Gluon Plasma in Equilibrium
• Color Superconductivity at Moderate Baryon Density
• An Effective Field Theory Approach to Color Superconductivity at High Quark Density
• High Density Quark Matter and the Renormalization Group in QCD with two and three flavors
• Phase Structure of Four-Fermion Theories at Finite Temperature and Chemical Potential in Arbitrary Dimensions
• Critical and Tricritical Points for the Massless 2d Gross-Neveu Model Beyond Large N
• Effective Field Theories in the Large $N$ Limit
• Chromomagnetic Catalysis of Color Superconductivity in a (2+1)-dimensional NJL Model
• Phase diagram of quark-antiquark and diquark condensates at finite temperature and density in the 3-dimensional Gross Neveu model
• Phase Diagram of Gross-Neveu Model at Finite Temperature, Density and Constant Curvature
• The three-dimensional noncommutative Gross-Neveu model
• Fermion Bag Solitons in the Massive Gross-Neveu and Massive Nambu-Jona-Lasinio Models in 1+1 Dimensions: Inverse Scattering Analysis
• Confinement in the 3-dimensional 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 (5)

• Competition and duality correspondence between chiral and superconducting channels in (2+1)-dimensional four-fermion models with fermion number and chiral chemical potentials
• 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
• Superconductivity phenomenon induced by external in-plane magnetic field in (2+1)-dimensional Gross--Neveu type model