Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops

Abstract

In an extension of the Nambu-Jona-Lasinio model where the quarks interact with the temporal gluon field, represented by the Polyakov loop, we explore the relation between the deconfinement and chiral phase transitions. The effect of Polyakov loop dynamics on thermodynamic quantities, on the phase structure at finite temperature and baryon density and on various susceptibilities is presented. Particular emphasis is put on the behavior and properties of the fluctuations of the (approximate) order parameters and their dependence on temperature and net--quark number density. We also discuss how the phase structure of the model is influenced by the coupling of the quarks to the Polyakov loop.

arXiv comment18 pages, 22 figures; text rearranged and references added. results and conclusions unchanged; final version accepted for publication in Phys. Rev. D

References in corpus (37)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• NJL-model analysis of dense quark matter
• Chiral effective model with the Polyakov loop
• Phases of QCD: lattice thermodynamics and a field theoretical model
• 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
• Polyakov loop, diquarks and the two-flavour phase diagram
• 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
• The Equation of State for Two Flavor QCD at Non-zero Chemical Potential
• The transition temperature in QCD
• Universality, the QCD critical/tricritical point and the quark number susceptibility
• Quark-Gluon Plasma as a Condensate of Z(3) Wilson Lines
• 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
• QCD phase diagram and the critical point
• Susceptibilities and speed of sound from PNJL model
• Susceptibilities, the Specific Heat and a Cumulant in Two-Flavour QCD
• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• Phenomenological Equations of State for the Quark-Gluon Plasma
• Deconfining Phase Transition as a Matrix Model of Renormalized Polyakov Loops
• Confinement versus Chiral Symmetry
• Dense Quarks, and the Fermion Sign Problem, in a SU(N) Matrix Model
• Event-by-Event Fluctuations from Decay of a Polyakov Loop Condensate
• Sigma and hydrodynamic modes along the critical line
• Scalar density fluctuation at critical end point in NJL model
• Degrees of Freedom and the Deconfining Phase Transition
• Quark Number Fluctuations in a Chiral Model at Finite Baryon Chemical Potential
• Two-point functions for SU(3) Polyakov Loops near T_c
• Relation between the Polyakov loop and the chiral order parameter at strong coupling
• Chiral Lagrangian at finite temperature from the Polyakov-Chiral Quark Model
• Deconfinement through Chiral Symmetry Restoration in Two-Flavour QCD
• Polyakov Loops versus Hadronic States
• Effects of chiral restoration on the behaviour of the Polyakov loop at strong coupling
• Charge Fluctuations along the QCD phase boundary

Cited by in corpus (209)

• The Phase Structure of the Polyakov--Quark-Meson Model
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• Probing freeze-out conditions in heavy ion collisions with moments of charge fluctuations
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• The phase structure of the Polyakov--quark-meson model beyond mean field
• Inhomogeneous chiral condensates
• Fluctuations as probe of the QCD phase transition and freeze-out in heavy ion collisions at LHC and RHIC
• Hadron Production in Ultra-relativistic Nuclear Collisions: Quarkyonic Matter and a Triple Point in the Phase Diagram of QCD
• Three-loop HTLpt thermodynamics at finite temperature and chemical potential
• Chiral magnetic effect in the PNJL model
• Deconfinement and Chiral Symmetry Restoration in a Strong Magnetic Background
• Thermodynamics of (2+1)-flavor QCD: Confronting Models with Lattice Studies
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• Vacuum fluctuations and the thermodynamics of chiral models
• The three-flavor chiral phase structure in hot and dense QCD matter
• Dressed Polyakov loop and phase diagram of hot quark matter under magnetic field
• The renormalization group and quark number fluctuations in the Polyakov loop extended quark-meson model at finite baryon density
• Recent thermodynamic results from lattice QCD analyzed within a quasi-particle model
• The chiral and deconfinement crossover transitions: PNJL model beyond mean field
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• Meson fluctuations and thermodynamics of the Polyakov loop extended quark-meson model
• Quarkyonic Matter and Chiral Symmetry Breaking
• Dynamics and thermodynamics of a nonlocal Polyakov--Nambu--Jona-Lasinio model with running coupling
• On the phase structure and thermodynamics of QCD
• The hadronic SU(3) Parity Doublet Model for Dense Matter, its extension to quarks and the strange equation of state
• Critical endpoint in the Polyakov-loop extended NJL model
• Improved Polyakov-loop potential for effective models from functional calculations
• An effective chiral Hadron-Quark Equation of State
• Thermodynamics of QCD at vanishing density
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• Entanglement between deconfinement transition and chiral symmetry restoration
• On the Nature of the Phase Transition in SU(N), Sp(2) and E(7) Yang-Mills theory
• Relativistic nuclear collisions: Establishing a non-critical baseline for fluctuation measurements
• Existence of the critical endpoint in the vector meson extended linear sigma model
• Hot Quark Matter with an Axial Chemical Potential
• Phase diagram and thermodynamics of the Polyakov linear sigma model with three quark flavors
• Polyakov loop extended NJL model with imaginary chemical potential
• Phase diagram and critical properties within an effective model of QCD: the Nambu-Jona-Lasinio model coupled to the Polyakov loop
• The QCD Phase Boundary from Quark-Gluon Dynamics
• Quark confinement: dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang-Mills theory
• Polyakov loop fluctuations in SU(3) lattice gauge theory and an effective gluon potential
• Toward a first-principle derivation of confinement and chiral-symmetry-breaking crossover transitions in QCD
• PNJL model with a Van der Monde term
• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
• Scalar-pseudoscalar meson behavior and restoration of symmetries in SU(3) PNJL model
• On the Phase Structure of QCD in a Finite Volume
• Nonlocal PNJL model beyond mean field and the QCD phase transition
• Thermodynamics of a three-flavor nonlocal Polyakov--Nambu--Jona-Lasinio model
• QCD phase transitions via a refined truncation of Dyson-Schwinger equations
• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• Chiral phase transition in the presence of spinodal decomposition
• Chiral fluid dynamics with explicit propagation of the Polyakov loop
• Two-color quark matter: U(1)_A restoration, superfluidity, and quarkyonic phase
• Nonlocal Polyakov-Nambu-Jona-Lasinio model with wavefunction renormalization at finite temperature and chemical potential
• Determination of QCD phase diagram from the imaginary chemical potential region
• Phase diagram in the imaginary chemical potential region and extended Z3 symmetry
• Two-loop HTL pressure at finite temperature and chemical potential
• The QCD critical end point in the PNJL model
• How parameters and regularization affect the PNJL model phase diagram and thermodynamic quantities
• The Critical End Point of Quantum Chromodynamics Detected by Chirally Imbalanced Quark Matter
• Quarkyonic phase from quenched dynamical holographic QCD model
• The Effect of Fluctuations on the QCD Critical Point in a Finite Volume
• Baryon number fluctuations in chiral effective models and their phenomenological implications
• Small shear viscosity in the semi quark gluon plasma
• Fluctuation of strongly interacting matter in Polyakov Nambu Jona-Lasinio model in finite volume
• Are there hadronic bound states above the QCD transition temperature?
• Roberge-Weiss phase transition and its endpoint
• Electrical neutrality and pion modes in the two flavor PNJL model
• Fluctuations and isentropes near the chiral critical endpoint
• Revisiting the Phase Structure of the Polyakov-quark-meson Model in the presence of Vacuum Fermion Fluctuation
• QCD phase diagram at finite baryon and isospin chemical potentials in Polyakov loop extended quark meson model with vector interaction
• Degrees of freedom and the phase transitions of two flavor QCD
• Non-equilibrium phase transition in relativistic nuclear collisions: Importance of the equation of state
• An effective gluon potential and hybrid approach to Yang-Mills thermodynamics
• Calculating Determinants of Block Matrices
• Isentropic thermodynamics in the PNJL model
• QCD phase diagram at finite baryon and isospin chemical potentials
• Thermodynamics of QCD low-energy models and the derivative expansion of the effective action
• Chiral matrix model of the semi-Quark Gluon Plasma in QCD
• Hard thermal loops, to quadratic order, in the background of a spatial 't Hooft loop
• Phase diagrams in nonlocal PNJL models constrained by Lattice QCD results
• The problem of repulsive quark interactions - Lattice versus mean field models
• Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD
• Susceptibilities with multi-quark interactions in PNJL model
• Functional renormalization group analysis of the soft mode at the QCD critical point
• Vector-type four-quark interaction and its impact on QCD phase structure
• Correlation between conserved charges in PNJL Model with multi-quark interactions
• Phase transition from nuclear matter to color superconducting quark matter: the effect of the isospin
• Meson Masses and Mixing Angles in 2+1 Flavor Polyakov Quark Meson Sigma Model and Symmetry Restoration Effects
• Net quark number probability distribution near the chiral crossover transition
• Width of the QCD transition in a Polyakov-loop DSE model
• Deconfinement and chiral restoration in nonlocal SU(3) chiral quark models
• Effects of quark anomalous magnetic moment on the thermodynamical properties and mesonic excitations of magnetized hot and dense matter in PNJL model
• The Wigner Solution and QCD Phase Transitions in a Modified PNJL Model
• Quark number susceptibility around the critical end point
• Deconfinement and chiral restoration in nonlocal PNJL models at zero and imaginary chemical potential
• Toward a unified equation of state for multi-messenger astronomy
• Vector interaction strength in Polyakov-Nambu-Jona-Lasinio models from hadron-quark phase diagrams
• Number of the QCD critical points with neutral color superconductivity
• Deconfinement Transition at High Isospin Chemical Potential and Low Temperature
• Net-baryon number fluctuations in the Hybrid Quark-Meson-Nucleon model at finite density
• Influence of the Polyakov loop on the chiral phase transition in the two flavor chiral quark model
• Another chiral critical end-point induced by neutral color superconductivity
• Polyakov loop fluctuations and deconfinement in the limit of heavy quarks
• Quark-Hadron Phase Transition in the PNJL model for interacting quarks
• Non-perturbative dynamics and charge fluctuations in effective chiral models
• Strangeness Neutrality and QCD Thermodynamics
• QCD phase diagram at imaginary baryon and isospin chemical potentials
• Color neutrality effects in the phase diagram of the PNJL model
• Isospin properties of quark matter from a 3-flavor NJL model
• Role of mesonic fluctuations in the Polyakov loop extended quark-meson model at imaginary chemical potential
• The Phase Diagram of Hadronic Matter
• Flavor Diagonal and Off-Diagonal Susceptibilities in a Quasiparticle Model of the Quark-Gluon Plasma
• Correlations among discontinuities in QCD phase diagram
• Probing deconfinement in a chiral effective model with Polyakov loop at imaginary chemical potential
• Meson mass at real and imaginary chemical potentials
• Dynamics of QCD Matter -- current status
• Fluctuations and Correlations of Conserved Charges in the $(2+1)$ Polyakov Quark Meson Model
• Chiral condensate and dressed Polyakov loop in the Nambu--Jona-Lasinio model
• Relation Between Chiral Susceptibility and Solutions of Gap Equation in Nambu--Jona-Lasinio Model
• Model prediction for temperature dependence of meson pole masses from lattice QCD results on meson screening masses
• Possibility of QCD critical point sweep during black hole formation
• Thermodynamic potential with correct asymptotics for PNJL model
• Dynamical Locking of the Chiral and the Deconfinement Phase Transition in QCD
• Nonlinear susceptibilities under the framework of Dyson-Schwinger equations
• Crossover from a continuum study of chiral susceptibility
• Polyakov--Nambu--Jona-Lasinio model in finite volumes
• Polyakov-loop suppression of colored states in a quark-meson-diquark plasma
• Two-color QCD in a strong magnetic field: The role of the Polyakov loop
• Topological feature and phase structure of QCD at complex chemical potential
• Comparing symmetry restoration trends for meson masses and mixing angles in the QCD-like three quark flavor models
• Three-loop HTLpt thermodynamics at finite temperature and chemical potential
• Impact of the vector interaction on the phase structure of QCD matter
• Phase diagram of hot and dense QCD constrained by the Statistical Model
• Spatial modulation and topological current in holographic QCD matter
• Reparametrizing the Polyakov$-$Nambu$-$Jona-Lasinio model
• Enhancement of quark number susceptibility with an alternative pattern of chiral symmetry breaking in dense matter
• Axial anomaly and the three-flavor Nambu--Jona-Lasinio model with confinement: Constructing the QCD phase diagram
• Vacuum polarization corrections to low energy quark effective couplings
• The Polyakov loop in various representations in the confined phase of QCD
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Thermodynamics of strongly interacting matter in a hybrid model
• Dressed Polyakov loop and flavor dependent phase transitions
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Exploring axial $U(1)$ restoration in a modified 2+1 flavor Polyakov quark meson model
• Exploring criticality in the QCD-like two quark flavour models
• Effects of Renormalizing the chiral SU(2) Quark-Meson-Model
• Broadening of the chiral critical region in a hydrodynamically expanding medium
• Determination of $U(1{)}_{\mathrm{A}}$ restoration from pion and $a_0$-meson screening masses: Toward the chiral regime
• Probing the QCD vacuum with an abelian chromomagnetic field: A study within an effective model
• The consequences of SU(3) colorsingletness, Polyakov Loop and Z(3) symmetry on a quark-gluon gas
• Chiral susceptibility in Nambu Jona Lasinio model: a Wigner function approach
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Quark Number Susceptibility with Finite Chemical Potential in Holographic QCD
• Continuum study of various susceptibilities within thermal QED${}_3$
• Chiral condensate and chemical freeze-out
• Fluctuations of order parameter in an $SU(N_c)$ effective model
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• SU(2) higher-order effective quark interactions from polarization
• Comparison between the continuum threshold and the Polyakov loop as deconfinement order parameters
• Effective model approach to meson screening masses at finite temperature
• A large-$N_c$ PNJL model with explicit Z${}_{N_c}$ symmetry
• Net baryon number fluctuations across the chiral phase transition at finite density in the strong coupling lattice QCD
• Generic features of the phase transition in cold and dense quark matter
• The QCD Phase Diagram from Chiral Approaches
• Second look to the Polyakov Loop Nambu-Jona-Lasinio model at finite baryonic density
• Chiral susceptibility in dense thermo-magnetic QCD medium within HTL approximation
• Quark Number Susceptibility with Finite Quark Mass in Holographic QCD
• Dependence of the static quark free energy on ${\mu }_B$ and the crossover temperature of $N_f=2+1$ QCD
• The critical indices of the Quark-Gluon Bags with Surface Tension Model with tricritical endpoint
• Deconfinement vs. chiral symmetry and higher representation matter
• Charge fluctuations in chiral models and the QCD phase transition
• Chiral condensate and Mott-Anderson freeze-out
• Anisotropy of magnetized quark matter
• Asymmetric pairing of realistic mass quarks and color neutrality in the Polyakov--Nambu--Jona-Lasinio model of QCD
• Momentum scale dependence of the net quark number fluctuations near chiral crossover
• Quark Potential in a Quark-Meson Plasma
• Scalar susceptibility from the instanton vacuum with meson-loop corrections
• A PNJL model in 0+1 Dimensions
• Mass dependence of the deconfinement and chiral restoration critical temperatures in nonlocal SU(2) PNJL models
• Microcausality in strongly interacting fields
• Effective Model Approach to the Dense State of QCD Matter
• Correlations between light and heavy flavors near the chiral crossover
• Magnetic susceptibility of the QCD vacuum in a nonlocal SU(3) PNJL model
• Conserved Charge Fluctuations and Susceptibilities in Strongly Interacting Matter
• Effect of finite volume on thermodynamics of quark-hadron matter
• Stable Yang-Lee zeros in truncated fugacity series from net-baryon number multiplicity distribution
• Chiral phase transition with mixing between scalar quarkonium and tetraquark
• Density fluctuations and chiral phase transition
• Chiral Hadronic Mean Field Model including Quark Degrees of Freedom
• Polyakov loop fluctuations in the presence of external fields
• Scaling violation and the magnetic equation of state in chiral models
• QCD phase diagram and charge fluctuations
• Anatomy of the dense QCD matter from canonical sectors
• Recovering the chiral critical end-point via delocalization of quark interactions
• The Chiral Phase Transitions of Helical Matter
• Properties of 2+1-flavor QCD in the imaginary chemical potential region: model prediction
• Relation between the continuum threshold and the Polyakov loop with the QCD deconfinement transition
• Polarization effects at finite temperature and magnetic field
• Response functions of hot and dense matter in the Nambu-Jona-Lasino model
• Phase diagram and pion modes of the neutral Nambu-Jona Lasinio model with the Polyakov loop
• Study of net-baryon higher moments in PNJL model and their expectation for net-proton using the Subensemble Acceptance Method for the search of QCD critical point
• Extrapolation for meson screening masses from imaginary to real chemical potential
• Non-extensive Effects on the QCD Equation of State and Fluctuations of Conserved Charges within Polyakov Quark Meson Model
• Chiral, parity-doublet, effective-Lagrangian mean-field theories for nuclear and astrophysical phenomenology
• Susceptibilities and the Phase Structure of an Effective Chiral Model with Polyakov Loops
• Critical structure of the QCD medium
• Phases of QCD, Polyakov Loop and Quasiparticles
• Isospin asymmetric matter in a nonlocal chiral quark model