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.

28 pages, 14 figures, 2 tables

References in corpus (10)

• The Phase Structure of the Polyakov--Quark-Meson Model
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• 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
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• Thermodynamics of the PNJL model
• Thermodynamics of the PNJL model with nonzero baryon and isospin chemical potentials
• Quark number susceptibilities: lattice QCD versus PNJL model
• Coupling of pion condensate, chiral condensate and Polyakov loop in an extended NJL model
• Effects of mesonic correlations in the QCD phase transition

Cited by in corpus (27)

• The renormalization group and quark number fluctuations in the Polyakov loop extended quark-meson model at finite baryon density
• An effective chiral Hadron-Quark Equation of State
• Thermodynamic Properties of Strongly Interacting Matter in a Finite Volume using the Polyakov-Nambu-Jona-Lasinio model
• Phase diagram and surface tension in the three-flavor Polyakov-quark-meson model
• The QCD critical end point in the PNJL model
• QCD phase diagram at finite baryon and isospin chemical potentials
• The problem of repulsive quark interactions - Lattice versus mean field models
• Extensions and further applications of the nonlocal Polyakov--Nambu--Jona-Lasinio model
• Effective models of two-flavor QCD: finite $\mu$ and $m_q$-dependence
• The nuclear liquid-gas phase transition at large $N_c$ in the Van der Waals approximation
• Dynamical Generation of a Repulsive Vector Contribution to the Quark Pressure
• SU(3) Polyakov linear-sigma model: Conductivity and viscous properties of QCD matter in thermal medium
• Chiral restoration at finite T under the magnetic field with the meson-loop corrections
• Correlations among discontinuities in QCD phase diagram
• Polyakov-loop suppression of colored states in a quark-meson-diquark plasma
• Effects of Hadron-Quark Phase Transitions in Hybrid Stars within the NJL Model
• Sign problem and phase quenching in finite-density QCD: models, holography, and lattice
• Average phase factor in the PNJL model
• Mean field approach to flavor susceptibilities with a vector interaction
• Thermodynamical phases in a PNJL model at zero temperature
• Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
• A PNJL model in 0+1 Dimensions
• Chiral restoration at finite temperature with meson loop corrections
• Entropy in the quark-hadron transition
• Non-local quark models for description of dense matter in the cores of neutron stars
• Phases of Hadron-Quark Matter in (Proto) Neutron Stars
• Low-energy QCD and hadronic structure