Coupling of pion condensate, chiral condensate and Polyakov loop in an extended NJL model

Abstract

The Nambu Jona-Lasinio model with a Polyakov loop is extended to finite isospin chemical potential case, which is characterized by simultaneous coupling of pion condensate, chiral condensate and Polyakov loop. The pion condensate, chiral condensate and the Polyakov loop as functions of temperature and isospin chemical potential are investigated by minimizing the thermodynamic potential of the system. The resulting $(T,{\mu }_I)$ 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 high isospin chemical potential region perfectly coincides with the crossover phase transition for Polyakov loop. These results are in agreement with the Lattice QCD data.

arXiv comment15pages, 8 figures

References in corpus (41)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• NJL-model analysis of dense quark matter
• Instantons in QCD
• Chiral effective model with the Polyakov loop
• The QCD transition temperature: results with physical masses in the continuum limit
• Phases of QCD: lattice thermodynamics and a field theoretical model
• Lattice determination of the critical point of QCD at finite T and μ
• The QCD thermal phase transition in the presence of a small chemical potential
• QCD at finite isospin density
• Finite density QCD via imaginary chemical potential
• Polyakov loop, diquarks and the two-flavour phase diagram
• Quark Mass and Flavour Dependence of the QCD Phase Transition
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• The Equation of State for Two Flavor QCD at Non-zero Chemical Potential
• The transition temperature in QCD
• The QCD Phase Diagram for Three Degenerate Flavors and Small Baryon Density
• Chiral Symmetry Restoration and $Z_N$ Symmetry
• Polyakov loop in chiral quark models at finite temperature
• Lattice QCD at finite isospin density at zero and finite temperature
• Susceptibilities and speed of sound from PNJL model
• Pion Superfluidity and Meson Properties at Finite Isospin Density
• Susceptibilities, the Specific Heat and a Cumulant in Two-Flavour QCD
• The Status of Lattice QCD at Finite Temperature
• QCD at finite isospin density: from pion to quark-antiquark condensation
• The QCD equation of state at nonzero densities: lattice result
• Phenomenological Equations of State for the Quark-Gluon Plasma
• The finite temperature transition for 2-flavour lattice QCD at finite isospin density
• Isospin Chemical Potential and the QCD Phase Diagram at Nonzero Temperature and Baryon Chemical Potential
• QCD thermodynamics from an imaginary mu_B: results on the four flavor lattice model
• Confinement versus Chiral Symmetry
• Thermodynamics of the PNJL model
• Thermodynamics of the PNJL model with nonzero baryon and isospin chemical potentials
• Scaling Study of the Two-Flavor Chiral Phase Transition with the Kogut-Susskind Quark Action in Lattice QCD
• Gluon Quasiparticles and the Polyakov Loop
• Pion and kaon condensation in a 3-flavor NJL model
• Ladder-QCD at finite isospin chemical potential
• Diquark and Pion Condensation in Random Matrix Models for two-color QCD
• Chiral symmetry restoration and the Z3 sectors of QCD
• Thermodynamic limit of the canonical partition function with respect to the quark number in QCD
• Two-flavor QCD phases and condensates at finite isospin chemical potential
• Lattice QCD at finite isospin density

Cited by in corpus (52)

• Polyakov loop, diquarks and the two-flavour phase diagram
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• QCD phase diagram for nonzero isospin-asymmetry
• The chiral and deconfinement crossover transitions: PNJL model beyond mean field
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• Fluctuations in the quark-meson model for QCD with isospin chemical potential
• Phase diagram and thermodynamics of the Polyakov linear sigma model with three quark flavors
• PNJL model with a Van der Monde term
• Three-flavor Nambu--Jona-Lasinio model at finite isospin chemical potential
• Magnetic structure of isospin-asymmetric QCD matter in neutron stars
• Quarkyonic phase from quenched dynamical holographic QCD model
• Fluctuations and Correlations of Conserved Charges in QCD at Finite Temperature with Effective Models
• Electrical neutrality and pion modes in the two flavor PNJL model
• Nambu-Jona-Lasinio model description of weakly interacting Bose condensate and BEC-BCS crossover in dense QCD-like theories
• QCD phase diagram at finite baryon and isospin chemical potentials
• Fluctuations and Correlations of Conserved Charges near the QCD Critical Point
• The Linear Sigma Model and the formation of a charged pion condensate in the presence of an external magnetic field
• Number of the QCD critical points with neutral color superconductivity
• Another chiral critical end-point induced by neutral color superconductivity
• Thermodynamics and quark susceptibilities: a Monte-Carlo approach to the PNJL model
• Isovector properties of quark matter and quark stars in an isospin-dependent confining model
• QCD phase diagram at imaginary baryon and isospin chemical potentials
• Functional renormalization group at finite density and Bose condensation
• Chiral condensate and dressed Polyakov loop in the Nambu--Jona-Lasinio model
• Possibility of QCD critical point sweep during black hole formation
• Relation Between Chiral Susceptibility and Solutions of Gap Equation in Nambu--Jona-Lasinio Model
• Rotation induced charged pion condensation in a strong magnetic field: A Nambu--Jona-Lasino model study
• Average phase factor in the PNJL model
• BCS-BEC crossover in relativistic Fermi systems
• Enhancement of quark number susceptibility with an alternative pattern of chiral symmetry breaking in dense matter
• Topological deconfinement transition in QCD at finite isospin density
• Effects of Model Parameters in Thermodynamics of the PNJL Model
• Dressed Polyakov loop and flavor dependent phase transitions
• Equation of state in the pion condensation phase in the asymmetric nuclear matter using a holographic QCD model
• Pionic BEC--BCS crossover at finite isospin chemical potential
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• Pion condensation in the two--flavor chiral quark model at finite baryochemical potential
• The thermal evolution of nuclear matter at zero temperature and definite baryon number density in chiral perturbation theory
• The QCD Phase Diagram from Chiral Approaches
• Dual condensates at finite isospin chemical potential
• A PNJL model in 0+1 Dimensions
• Correction to the Chiral Magnetic Effect from axial-vector interaction
• Fate of separate chiral transitions at finite ${\mu }_I$ under the influence of mismatched vector interactions
• Chiral symmetry breaking and pion condensation in the early universe
• Response functions of hot and dense matter in the Nambu-Jona-Lasino model
• Dual meson condensates in the Polyakov-loop extended linear sigma model
• Phase diagram and pion modes of the neutral Nambu-Jona Lasinio model with the Polyakov loop
• Monte-Carlo simulations of QCD Thermodynamics in the PNJL model
• Mesons and diquarks in a color superconducting regime
• Baryons in the Nambu Jona-Lasinio models
• Isospin asymmetric matter in a nonlocal chiral quark model
• Susceptibilities and the Phase Structure of an Effective Chiral Model with Polyakov Loops