Polyakov loop extended NJL model with imaginary chemical potential

Abstract

The Polyakov loop extended Nambu--Jona-Lasinio (PNJL) model with imaginary chemical potential is studied. The model possesses the extended ${\mathbb{Z}}_3$ symmetry that QCD does. Quantities invariant under the extended ${\mathbb{Z}}_3$ symmetry, such as the partition function, the chiral condensate and the modified Polyakov loop, have the Roberge-Weiss (RW) periodicity. The phase diagram of confinement/deconfinement transition derived with the PNJL model is consistent with the RW prediction on it and the results of lattice QCD. The phase diagram of chiral transition is also presented by the PNJL model.

5 pages, 5 figures

References in corpus (26)

• 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
• 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
• Heavy Quark Anti-Quark Free Energy and the Renormalized Polyakov Loop
• The QCD Phase Diagram for Three Degenerate Flavors and Small Baryon Density
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• Chiral Symmetry Restoration and $Z_N$ Symmetry
• Polyakov loop in chiral quark models at finite temperature
• 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
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• Deconfining Phase Transition as a Matrix Model of Renormalized Polyakov Loops
• Chiral and Color-superconducting Phase Transitions with Vector Interaction in a Simple Model (Addenda)
• Chiral and Color-superconducting Phase Transitions with Vector Interaction in a Simple Model
• QCD thermodynamics from an imaginary mu_B: results on the four flavor lattice model
• Thermodynamics of the PNJL model
• Dense Quarks, and the Fermion Sign Problem, in a SU(N) Matrix Model
• Two-point functions for SU(3) Polyakov Loops near T_c
• 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
• Polyakov loop and the color-flavor locked phase of Quantum Chromodynamics
• Effects of a multi-quark interaction on color superconducting phase transition in an extended NJL model

Cited by in corpus (79)

• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• Chiral magnetic effect in the PNJL model
• Deconfinement and Chiral Symmetry Restoration in a Strong Magnetic Background
• On the relation of quark confinement and chiral symmetry breaking
• Dressed Polyakov loop and phase diagram of hot quark matter under magnetic field
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• Confinement from Correlation Functions
• On the phase structure and thermodynamics of QCD
• Polyakov loop modeling for hot QCD
• Thermodynamics of QCD at vanishing density
• Entanglement between deconfinement transition and chiral symmetry restoration
• Determination of QCD phase diagram from the imaginary chemical potential region
• Phase diagram in the imaginary chemical potential region and extended Z3 symmetry
• Quarkyonic phase from quenched dynamical holographic QCD model
• Imaginary Chemical Potential Approach for the Pseudo-Critical Line in the QCD Phase Diagram with Clover-Improved Wilson Fermions
• Nonlocal Polyakov-Nambu-Jona-Lasinio model and imaginary chemical potential
• Roberge-Weiss phase transition and its endpoint
• QCD phase diagram at finite baryon and isospin chemical potentials
• Quark-mass dependence of the three-flavor QCD phase diagram at zero and imaginary chemical potential: Model prediction
• Vector-type four-quark interaction and its impact on QCD phase structure
• Polyakov loop and QCD thermodynamics from the gluon and ghost propagators
• Quark Matter in a Strong Magnetic Background
• Confinement and Z_3 symmetry in three-flavor QCD
• Dual quark condensate in the Polyakov-loop extended Nambu--Jona-Lasinio model
• Net quark number probability distribution near the chiral crossover transition
• Deconfinement and chiral restoration in nonlocal PNJL models at zero and imaginary chemical potential
• Lee-Yang zero distribution of high temperature QCD and Roberge-Weiss phase transition
• Differences and similarities between fundamental and adjoint matters in SU(N) gauge theories
• Number of the QCD critical points with neutral color superconductivity
• Equation of state in the PNJL model with the entanglement interaction
• Another chiral critical end-point induced by neutral color superconductivity
• Quark-Hadron Phase Transition in the PNJL model for interacting quarks
• The quarkynic phase and the Z_{Nc} symmetry
• QCD phase diagram at imaginary baryon and isospin chemical potentials
• Theta vacuum effects on QCD phase diagram
• Quark number densities at imaginary chemical potential in $N_f=2$ lattice QCD with Wilson fermions and its model analyses
• Role of mesonic fluctuations in the Polyakov loop extended quark-meson model at imaginary chemical potential
• Understanding of QCD at high density from Z3-symmetric QCD-like theory
• Probing deconfinement in a chiral effective model with Polyakov loop at imaginary chemical potential
• Correlations among discontinuities in QCD phase diagram
• Meson mass at real and imaginary chemical potentials
• Theta vacuum and entanglement interaction in the three-flavor Polyakov-loop extended Nambu-Jona-Lasinio model
• Thermodynamic potential with correct asymptotics for PNJL model
• Dynamical Locking of the Chiral and the Deconfinement Phase Transition in QCD
• Color screening potential at finite density in two-flavor lattice QCD with Wilson fermions
• Strings at Finite Temperature: Wilson Lines, Free Energies, and the Thermal Landscape
• Strange quark matter in the presence of explicit symmetry breaking interactions
• Phase structure of two-color QCD at real and imaginary chemical potentials; lattice simulations and model analyses
• Average phase factor in the PNJL model
• Reparametrizing the Polyakov$-$Nambu$-$Jona-Lasinio model
• Topological deconfinement transition in QCD at finite isospin density
• Thermodynamics of strongly interacting matter in a hybrid model
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Fourier coefficients of the net-baryon number density and chiral criticality
• Neutral quark matter in a Nambu-Jona Lasinio model with vector interaction
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Baryon number probability distribution at finite temperature
• Probing the QCD vacuum with an abelian chromomagnetic field: A study within an effective model
• Two-color QCD at imaginary chemical potential and its impact on real chemical potential
• Dual Fermion Condensates in Curved Space
• Impact of vector-current interactions on the QCD phase diagram
• 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
• Investigation of meson masses for real and imaginary chemical potential
• The QCD Phase Diagram from Chiral Approaches
• An effective thermodynamic potential from the instanton with Polyakov-loop contributions
• Deconfinement vs. chiral symmetry and higher representation matter
• A PNJL model in 0+1 Dimensions
• Stable Yang-Lee zeros in truncated fugacity series from net-baryon number multiplicity distribution
• Color superconductivity in the Nambu Jona-Lasinio model complemented by a Polyakov loop
• Multiplicity, probabilities, and canonical sectors for the cold QCD matter
• Roberge-Weiss periodicity, canonical sector and modified Polyakov-loop
• Anatomy of the dense QCD matter from canonical sectors
• Roberge-Weiss transitions at different center symmetry breaking patterns in a ${\mathbb{Z}}_3$-QCD model
• A hadron-quark hybrid model reliable for the EoS in ${\mu }_B\le 400$ MeV
• Properties of 2+1-flavor QCD in the imaginary chemical potential region: model prediction
• Extrapolation for meson screening masses from imaginary to real chemical potential
• Nonanalyticity, sign problem and Polyakov line in Z3-symmetric heavy quark model at low temperature: Phenomenological model analyses