Dual quark condensate in the Polyakov-loop extended Nambu--Jona-Lasinio model

Abstract

The dual quark condensate ${\Sigma }^{(n)}$ proposed recently as a new order parameter of the spontaneous breaking of the ${\mathbb{Z}}_3$ symmetry are evaluated by the Polyakov-loop extended Nambu--Jona-Lasinio model, where $n$ are winding numbers. The Polyakov-loop extended Nambu--Jona-Lasinio model well reproduces lattice QCD data on ${\Sigma }^{(1)}$ measured very lately. The dual quark condensate ${\Sigma }^{(n)}$ at higher temperatures is sensitive to the strength of the vector-type four-quark interaction in the Polyakov-loop extended Nambu--Jona-Lasinio model and hence a good quantity to determine the strength.

4 pages, 5 figures, 1 table, version accepted for publication in Phys. Rev. D

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• Correlations among discontinuities in QCD phase diagram
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• Entanglement between deconfinement transition and chiral symmetry restoration
• Nonlocal PNJL model beyond mean field and the QCD phase transition
• Adjoint QCD on ${\mathbb{R}}^3\times S^1$ with twisted fermionic boundary conditions
• Nonlocal Polyakov-Nambu-Jona-Lasinio model and imaginary chemical potential
• Quark-mass dependence of the three-flavor QCD phase diagram at zero and imaginary chemical potential: Model prediction
• Quark Matter in a Strong Magnetic Background
• Confinement and Z_3 symmetry in three-flavor QCD
• Vector interaction strength in Polyakov-Nambu-Jona-Lasinio models from hadron-quark phase diagrams
• Equation of state in the PNJL model with the entanglement interaction
• Inverse magnetic catalysis and confinement within a contact interaction model for quarks
• Probing deconfinement in a chiral effective model with Polyakov loop at imaginary chemical potential
• Theta vacuum and entanglement interaction in the three-flavor Polyakov-loop extended Nambu-Jona-Lasinio model
• Chiral condensate and dressed Polyakov loop in the Nambu--Jona-Lasinio model
• Quark number holonomy and confinement-deconfinement transition
• Thermodynamic potential with correct asymptotics for PNJL model
• The Roberge-Weiss transition and 't Hooft loops
• Dressed Polyakov loop and flavor dependent phase transitions
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Dressed Wilson loops as dual condensates in response to magnetic and electric fields
• Dual Fermion Condensates in Curved Space
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• Extension to Imaginary Chemical Potential in a Holographic Model
• Physical interpretation of the dressed Polyakov loop in the Nambu--Jona-Lasinio model
• Deconfinement transition and Black Holes
• Dual condensates at finite isospin chemical potential
• Exact high temperature expansion of the one-loop thermodynamic potential with complex chemical potential
• Roberge-Weiss periodicity, canonical sector and modified Polyakov-loop
• Dual meson condensates in the Polyakov-loop extended linear sigma model
• Thermo-magnetic nonlocal NJL model in the real and imaginary time formalisms
• Properties of canonical fermion determinants with a fixed quark number