The chiral and deconfinement crossover transitions: PNJL model beyond mean field

Abstract

The Polyakov loop extended Nambu and Jona-Lasinio model (PNJL model) in a mean field framework shows astonishingly good agreement with lattice QCD calculations which needs to be better understood. The present work reports on further developments concerning both Polyakov loop and mesonic fluctuations beyond mean field approximation. Corrections beyond mean field are of special interest for the thermal expectation values of the Polyakov loop $\Phi$ and its conjugate ${\Phi }^{\ast }$, which differ once the quark chemical potential is non-zero. Mesonic fluctuations are also considered with emphasis on the role of pionic modes.

arXiv comment28 pages, 14 figures, 2 tables

References in corpus (33)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• Thermodynamics of SU(3) Lattice Gauge Theory
• Chiral effective model with the Polyakov loop
• Phases of QCD: lattice thermodynamics and a field theoretical model
• The QCD phase diagram for small densities from imaginary chemical potential
• 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
• Color Superconductivity and Chiral Symmetry Restoration at Nonzero Baryon Density and Temperature
• The Phase Structure of the Polyakov--Quark-Meson Model
• Polyakov loop, diquarks and the two-flavour phase diagram
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• Quark Mass and Flavour Dependence of the QCD Phase Transition
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• Static quark anti-quark interactions in zero and finite temperature QCD. I. Heavy quark free energies, running coupling and quarkonium binding
• Heavy Quark Anti-Quark Free Energy and the Renormalized Polyakov Loop
• The Equation of State for Two Flavor QCD at Non-zero Chemical Potential
• The QCD Phase Diagram for Three Degenerate Flavors and Small Baryon Density
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• Hadronic fluctuations at the QCD phase transition
• Susceptibilities and speed of sound from PNJL model
• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• The QCD equation of state at nonzero densities: lattice result
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• Thermodynamics of the PNJL model
• Dense Quarks, and the Fermion Sign Problem, in a SU(N) Matrix Model
• Thermodynamics of the PNJL model with nonzero baryon and isospin chemical potentials
• Quark number susceptibilities: lattice QCD versus PNJL model
• Relation between the Polyakov loop and the chiral order parameter at strong coupling
• Coupling of pion condensate, chiral condensate and Polyakov loop in an extended NJL model
• Linking the chiral and deconfinement phase transitions
• Effects of mesonic correlations in the QCD phase transition
• Effects of chiral restoration on the behaviour of the Polyakov loop at strong coupling
• Hadron Properties just before Deconfinement

Cited by in corpus (114)

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• Existence of the critical endpoint in the vector meson extended linear sigma model
• Equation of state for hot QCD and compact stars from a mean field approach
• Phase diagram and thermodynamics of the Polyakov linear sigma model with three quark flavors
• Phase diagram and critical properties within an effective model of QCD: the Nambu-Jona-Lasinio model coupled to the Polyakov loop
• Thermodynamic Properties of Strongly Interacting Matter in a Finite Volume using the Polyakov-Nambu-Jona-Lasinio model
• A search for inverse magnetic catalysis in thermal quark-meson models
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• Thermodynamics of a three-flavor nonlocal Polyakov--Nambu--Jona-Lasinio model
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• Two-color quark matter: U(1)_A restoration, superfluidity, and quarkyonic phase
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• Probing the finite temperature phase transition with Nf=2 nonperturbatively improved Wilson fermions
• The problem of repulsive quark interactions - Lattice versus mean field models
• Extensions and further applications of the nonlocal Polyakov--Nambu--Jona-Lasinio model
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• Thermal chiral and deconfining transitions in the presence of a magnetic background
• Finite-volume effects on phase transition in the Polyakov-loop extended Nambu-Jona-Lasinio model with a chiral chemical potential
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• The nuclear liquid-gas phase transition at large $N_c$ in the Van der Waals approximation
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• Quark-Hadron Phase Transition in the PNJL model for interacting quarks
• Thermodynamics and quark susceptibilities: a Monte-Carlo approach to the PNJL model
• Dynamical Generation of a Repulsive Vector Contribution to the Quark Pressure
• QCD phase diagram at imaginary baryon and isospin chemical potentials
• SU(3) Polyakov linear-sigma model: Conductivity and viscous properties of QCD matter in thermal medium
• Hadron-quark phase transition in a hadronic and Polyakov--Nambu--Jona-Lasinio models perspective
• Phase diagram and nucleation in the Polyakov-loop-extended Quark-Meson truncation of QCD with the unquenched Polyakov-loop potential
• Correlations among discontinuities in QCD phase diagram
• Chiral restoration at finite T under the magnetic field with the meson-loop corrections
• Quark-Hadron Matter at Finite Temperature and Density in a Two-Color PNJL model
• Polyakov-Nambu-Jona-Lasinio phase diagrams and quarkyonic phase from order parameters
• Constraints on Phase Transitions in Neutron Star Matter
• A percolation transition in Yang-Mills matter at finite number of colours
• Effective models of two-flavor QCD: from small towards large $m_q$
• Polyakov-loop suppression of colored states in a quark-meson-diquark plasma
• Fluctuations and phases in baryonic matter
• Comparing symmetry restoration trends for meson masses and mixing angles in the QCD-like three quark flavor models
• Quark-hadron phase transition in a three flavor PNJL model for interacting quarks
• Supporting the search for the CEP location with nonlocal PNJL models constrained by Lattice QCD
• Impact of the vector interaction on the phase structure of QCD matter
• Nonperturbative SU(3) thermodynamics and the phase transition
• Average phase factor in the PNJL model
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• Sign problem and phase quenching in finite-density QCD: models, holography, and lattice
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• Quark and Polyakov-loop correlations in effective models at zero and non-vanishing density
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