Superconducting phase transition in the Nambu - Jona-Lasinio model

Abstract

The Nambu - Bogoliubov - de Gennes method is applied to the problem of superconducting QCD. The effective quark-quark interaction is described within the framework of the Nambu - Jona-Lasinio model. The details of the phase diagram are given as a function of the strength of the quark-quark coupling constant $G^{\prime }$. It is find that there is no superconducting phase transition when one uses the relation between the coupling constants $G^{\prime }$ and $G$ of the Nambu - Jona-Lasinio model which follows from the Fierz transformation. However, for other values of $G^{\prime }$ one can find a rich phase structure containing both the chiral and the superconducting phase transitions.

arXiv comment7 pages, 3 figures

References in corpus (4)

• Color Superconductivity and Chiral Symmetry Restoration at Nonzero Baryon Density and Temperature
• The Problem of Matter Stability in the Nambu--Jona-Lasinio Model
• Non-uniform chiral phase in effective chiral quark models
• Pi0 -> Gamma Gamma in Dense QCD

Cited by in corpus (10)

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• Pion condensation in quark matter with finite baryon density
• Abnormal number of Nambu-Goldstone bosons in the color-asymmetric 2SC phase of an NJL-type model
• The Influence of an External Chromomagnetic Field on Color Superconductivity
• Pion, sigma-meson and diquarks in the 2SC phase of dense cold quark matter
• Mesons and diquarks in the color neutral 2SC phase of dense cold quark matter
• Quark-Hadron Matter at Finite Temperature and Density in a Two-Color PNJL model
• Coexistence of pion condensation and color superconductivity in two flavor quark matter
• Comparison of the non-uniform chiral and 2SC phases at finite temperatures and densities
• Color superconductivity in the Nambu Jona-Lasinio model complemented by a Polyakov loop