Average phase factor in the PNJL model

Abstract

The average phase factor of the QCD determinant is evaluated at finite quark chemical potential (μ_q) with the two-flavor version of the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model with the scalar-type eight-quark interaction. For μ_q larger than half the pion mass at vacuum m_π, the average phase factor is finite only when the Polyakov loop is larger than 0.5, indicating that lattice QCD is feasible only in the deconfinement phase. A critical endpoint (CEP) lies in the region of the zero average phase factor. The scalar-type eight-quark interaction makes it shorter a relative distance of the CEP to the boundary of the region. For μ_q < m_π/2, the PNJL model with dynamical mesonic fluctuations can reproduce lattice QCD data below the critical temperature.

8 pages, 6 figures

References in corpus (60)

• 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
• Finite density QCD via imaginary chemical potential
• 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
• A new method to study lattice QCD at finite temperature and 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 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
• Susceptibilities and speed of sound from PNJL model
• Pion Superfluidity and Meson Properties at Finite Isospin Density
• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• The chiral and deconfinement crossover transitions: PNJL model beyond mean field
• QCD thermodynamics from an imaginary mu_B: results on the four flavor lattice model
• Thermodynamics of the PNJL model
• Dynamics and thermodynamics of a nonlocal Polyakov--Nambu--Jona-Lasinio model with running coupling
• Thermodynamics of the PNJL model with nonzero baryon and isospin chemical potentials
• Critical endpoint in the Polyakov-loop extended NJL model
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• The strongly interacting Quark Gluon Plasma, and the critical behaviour of QCD at imaginary chemical potential
• Thermodynamics of two flavor QCD from imaginary chemical potentials
• Phase structure of lattice QCD with two flavors of Wilson quarks at finite temperature and chemical potential
• Study of QCD thermodynamics at finite density by Taylor expansion
• Critical surface in hot and dense QCD with the vector interaction
• Polyakov loop extended NJL model with imaginary chemical potential
• Scalar-pseudoscalar meson behavior and restoration of symmetries in SU(3) PNJL model
• The QCD Sign Problem for Small Chemical Potential
• Phase diagram of QCD at finite temperature and chemical potential from lattice simulations with dynamical Wilson quarks
• Chiral phase transition in an extended NJL model with higher-order multi-quark interactions
• Determination of QCD phase diagram from the imaginary chemical potential region
• Phase diagram in the imaginary chemical potential region and extended Z3 symmetry
• Coupling of pion condensate, chiral condensate and Polyakov loop in an extended NJL model
• How parameters and regularization affect the PNJL model phase diagram and thermodynamic quantities
• The QCD critical end point in the PNJL model
• Roberge-Weiss phase transition and its endpoint
• Isentropic thermodynamics in the PNJL model
• Vector-type four-quark interaction and its impact on QCD phase structure
• A Random Matrix Study of the QCD Sign Problem
• Lattice QCD at finite temperature and density in the phase-quenched approximation
• The Approach to the Thermodynamic Limit in Lattice QCD at μ\neq0
• Polyakov loop and the color-flavor locked phase of Quantum Chromodynamics
• Random matrix analysis of the QCD sign problem for general topology
• QCD phase diagram at imaginary baryon and isospin chemical potentials
• Correlations among discontinuities in QCD phase diagram
• Effects of a multi-quark interaction on color superconducting phase transition in an extended NJL model
• Meson mass at real and imaginary chemical potentials
• A study of the sign problem for lattice QCD with chemical potential
• Pion Superfluidity beyond Mean Field Approximation In Nambu--Jona-Lasinio Model
• The sign problem across the QCD phase transition
• Weinberg power counting and the quark determinant at small chemical potential

Cited by in corpus (17)

• Fluctuation of strongly interacting matter in Polyakov Nambu Jona-Lasinio model in finite volume
• Quark-mass dependence of the three-flavor QCD phase diagram at zero and imaginary chemical potential: Model prediction
• Confinement and Z_3 symmetry in three-flavor QCD
• Equation of state in the PNJL model with the entanglement interaction
• No-Go Theorem for Critical Phenomena in Large-Nc QCD
• Theta vacuum and entanglement interaction in the three-flavor Polyakov-loop extended Nambu-Jona-Lasinio model
• Transport coefficients in a finite volume Polyakov--Nambu--Jona-Lasinio model
• Polyakov--Nambu--Jona-Lasinio model in finite volumes
• Sign problem and phase quenching in finite-density QCD: models, holography, and lattice
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• 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
• Histogram method in finite density QCD with phase quenched simulations
• A practical solution to the sign problem at finite theta-vacuum angle
• Practical approach to the sign problem at finite theta-vacuum angle
• Some exact results on the QCD critical point
• Extrapolation for meson screening masses from imaginary to real chemical potential