Coupling of pion condensate, chiral condensate, and Polyakov loop in an extended Nambu–Jona-Lasinio model

2006/10/31 by Zhao Zhang, Yu-Xin Liu, Yu‐xin Liu · 4 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevc.75.064910

published as Phys.Rev.C75:064910,2007 · 15pages, 8 figures

arxiv created 2007/05/09 · openalex publication_date 2007/06/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

The Nambu--Jona-Lasinio model with a Polyakov loop is extended to the finite isospin chemical potential case, which is characterized by the simultaneous coupling of the pion condensate, chiral condensate, and Polyakov loop. The pion condensate, chiral condensate, and Polyakov loop as functions of temperature and isospin chemical potential are investigated by minimizing the thermodynamic potential of the system. The resulting (T,\ensuremathμ_I) phase diagram is studied with emphasis on the critical point and Polyakov loop dynamics. The tricritical point for the pion superfluidity phase transition is confirmed, and the phase transition for isospin symmetry restoration in the high isospin chemical potential region perfectly coincides with the crossover phase transition for the Polyakov loop. These results agree with the lattice QCD data.

Citations

• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
• Confinement versus Chiral Symmetry
• Instantons in QCD
• QCD at Finite Isospin Density
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II

Cited by

• Electrical neutrality and pion modes in the two flavor Polyakov–Nambu–Jona-Lasinio model
• Functional renormalization group at finite density and Bose condensation
• 2+1flavor Polyakov–Nambu–Jona-Lasinio model at finite temperature and nonzero chemical potential
• Phase Diagram and Pion Modes of the Neutral Nambu-Jona Lasinio Model with the Polyakov Loop
• Polyakov loop, diquarks, and the two-flavor phase diagram