Phases of QCD: lattice thermodynamics and a field theoretical model

Abstract

We investigate three-colour QCD thermodynamics at finite quark chemical potential. Lattice QCD results are compared with a generalized Nambu Jona-Lasinio model in which quarks couple simultaneously to the chiral condensate and to a background temporal gauge field representing Polyakov loop dynamics. This so-called PNJL model thus includes features of both deconfinement and chiral symmetry restoration. The parameters of the Polyakov loop effective potential are fixed in the pure gauge sector. The chiral condensate and the Polyakov loop as functions of temperature and quark chemical potential are calculated by minimizing the thermodynamic potential of the system. The resulting equation of state, (scaled) pressure difference and quark number density at finite quark chemical potential are then confronted with corresponding Lattice QCD data.

20 pages, 10 figures, version to appear in Phys. Rev. D

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• A holographic study on QCD phase transition and phase diagram with two flavors
• Effects of Model Parameters in Thermodynamics of the PNJL Model
• Chiral magnetic properties of QCD phase-diagram
• Neutral quark matter in a Nambu-Jona Lasinio model with vector interaction
• The Polyakov loop in various representations in the confined phase of QCD
• Functional Renormalization Group Study of Phonon Mode Effects on Chiral Critical Point
• Hard Thermal Loop -- theory and applications
• QCD at high density: Equation of state for nuclear collisions and neutron stars
• Exploring axial $U(1)$ restoration in a modified 2+1 flavor Polyakov quark meson model
• Determination of $U(1{)}_{\mathrm{A}}$ restoration from pion and $a_0$-meson screening masses: Toward the chiral regime
• Chiral Symmetry and Heavy-Ion Collisions
• Themodynamics for pure SU($2$) gauge theory using gradient flow
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Exploring criticality in the QCD-like two quark flavour models
• Temperature and Strong Magnetic Field Effects in Dense Matter
• The consequences of SU(3) colorsingletness, Polyakov Loop and Z(3) symmetry on a quark-gluon gas
• Two-color QCD at imaginary chemical potential and its impact on real chemical potential
• Constraining free parameters of a color superconducting non-local Nambu-Jona-Lasinio model using Bayesian analysis of neutron stars mass and radius measurements
• Bounds on quantum gravity parameter from the $SU(2)$ NJL effective model of QCD
• Probing the QCD vacuum with an abelian chromomagnetic field: A study within an effective model
• Mean eigenvalues for simple, simply connected, compact Lie groups
• Properties of magnetized neutral pions at zero and finite temperature in nonlocal chiral quark models
• Effective potentials, thermodynamics, and twisted mass quarks
• The phase diagram of the Polyakov Nambu Jona-Lasinio approach for finite chemical potentials
• Comments on Yang-Mills thermodynamics, the Hagedorn spectrum and the gluon gas
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Derivative expansion of the heat kernel at finite temperature
• Meson properties and phase diagrams in a SU(3) nlPNJL model with lQCD-inspired form factors
• Effects of finite volume and magnetic fields on thermodynamic properties of quark matter and fluctuations of conserved charges
• Dimension 2 condensates and Polyakov Chiral Quark Models
• Restoration of chiral symmetry in the large-N_c limit
• In medium properties of axion within a Polyakov loop enhanced Nambu-Jona-Lasinio model
• Deformed QCD phase structure and entropy oscillation in the presence of a magnetic background
• Flux Tube Model Signals for Baryon Correlations in Heavy Ion Collisions
• Chiral condensate and chemical freeze-out
• Comparison between the continuum threshold and the Polyakov loop as deconfinement order parameters
• Effects of hadronic repulsive interactions on the fluctuations of conserved charges
• Fluctuations of order parameter in an $SU(N_c)$ effective model
• Non-conformality and non-perfectness of fluid near phase transition
• Neutron Stars as a Probe for Dense Matter
• PNJL model at zero temperature: three-flavor case
• Interplay between sign problem and Z_3 symmetry in three-dimensional Potts model
• Effective model approach to meson screening masses at finite temperature
• Modern nuclear and astrophysical constraints of dense matter in a renormalized chiral approach
• Deconfinement and chiral phase transitions in quark matter with chiral imbalance
• Chiral Magnetic Effect and Chiral Phase Transition
• Effects of entanglement and instanton suppression at finite temperature in a SU(2) EPNJL model with anomaly
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• Thermodynamical phases in a PNJL model at zero temperature
• Influence of finite volume effect on the Polyakov Quark-Meson model
• 2+1 flavors QCD equation of state at zero temperature within Dyson-Schwinger equations
• Speed of sound and liquid-gas phase transition in nuclear matter
• Radiation of an electric charge in the field of a magnetic monopole
• A large-$N_c$ PNJL model with explicit Z${}_{N_c}$ symmetry
• Equation of state and transition temperatures in the quark-hadron hybrid model
• Insignificance of the anomalous magnetic moment of the quarks in presence of chiral imbalance
• Thermodynamics of an exactly solvable confining quark model
• Influence of an inhomogeneous and expanding medium on signals of the QCD phase transition
• Investigation of meson masses for real and imaginary chemical potential
• Impact of different extended components of mean field models on transport coefficients of quark matter and their causal aspects
• Hadron-quark phase transition: the QCD phase diagram and stellar conversion
• A comparative study on two different expressions of Bulk viscosity in the PNJL model
• Generic features of the phase transition in cold and dense quark matter
• Correlations between the deconfining and chiral transitions in holographic QCD
• Susceptibilities and critical exponents within the Nambu--Jona-Lasinio model
• Mott-hadron resonance gas and lattice QCD thermodynamics
• The strange critical endpoint and isentropic trajectories in an Extended PNJL Model with Eight Quark Interactions
• Net baryon number fluctuations across the chiral phase transition at finite density in the strong coupling lattice QCD
• 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
• Strange matter and kaon to pion ratio in SU(3) PNJL model
• Thermodynamics and higher order moments in SU(3) linear $\sigma$-model with gluonic quasi-particles
• Chiral symmetry breaking and confinement effects on dilepton and photon production around $T_c$
• The QCD Phase Diagram from Chiral Approaches
• An effective thermodynamic potential from the instanton with Polyakov-loop contributions
• Decay of a scalar $\sigma$-meson near the critical end-point in the PNJL model
• Effects of the Regularization on the Restoration of Chiral and Axial Symmetries
• Quark scattering off quarks and hadrons
• Chiral condensate and Mott-Anderson freeze-out
• Anisotropy of magnetized quark matter
• Sign problem in $Z_3$-symmetric effective Polyakov-line model
• Topological susceptibility and axion potential in two-flavor superconductive quark matter
• Phenomena at the QCD phase transition in nonequilibrium chiral fluid dynamics (N$\chi$FD)
• Ordinary and exotic mesons in the extended Linear Sigma Model
• Vector and axial-vector meson properties in a nonlocal SU(2) PNJL model
• Interplay between chiral and axial symmetries in a SU(2) Nambu--Jona-Lasinio Model with the Polyakov loop
• Effect of mesonic off-shell correlations in the PNJL equation of state
• The critical indices of the Quark-Gluon Bags with Surface Tension Model with tricritical endpoint
• Nontopological Soliton in the Polyakov Quark Meson Model
• Thermal Relaxation and Cooling of Quark Stars with a Strangelet Crust
• Critical chiral hypersurface of the magnetized NJL model
• Strongly coupled matter near phase transition
• Correlations of conserved charges and QCD phase structure
• Deconfinement vs. chiral symmetry and higher representation matter
• QCD phase diagram and critical exponents within the nonextensive Polyakov-Nambu-Jona-Lasinio model
• Robustness of baryon-strangeness correlation and related ratios of susceptibilities
• Asymmetric pairing of realistic mass quarks and color neutrality in the Polyakov--Nambu--Jona-Lasinio model of QCD
• Quark Potential in a Quark-Meson Plasma
• Temperature Dependence of the Effective Bag Constant and the Radius of a Nucleon in the Global Color Symmetry Model of QCD
• Phase diagram for strongly interacting matter in the presence of a magnetic field using the Polyakov-Nambu-Jona-Lasinio model with magnetic field dependent coupling strengths
• Consequences of the partial restoration of chiral symmetry in AdS/QCD
• On-shell versus curvature mass parameter fixing schemes in the quark-meson model and its phase diagrams
• Reentrant pion superfluidity and cosmic trajectories within PNJL model
• Thermodynamics of the Quark-Gluon Plasma in Terms of Quasiparticles and Polyakov Line Condensates
• Coulomb gauge Yang-Mills theory at finite temperatures: glueballs versus quasi-gluons
• Nuclear matter in the chiral limit and the in-medium chiral condensate
• Diffusion and fluctuations of open charmed hadrons in an interacting hadronic medium
• An effective model of QCD thermodynamics
• Transition rate and gravitational wave spectrum from first-order QCD phase transitions
• QCD equation of state in a virial expansion
• Electromagnetic recombination spectra at the quark-hadron phase transition
• Chiral Magnetic Effect and QCD Phase Transitions with Effective Models
• The structure of the Yang-Mills spectrum for arbitrary simple gauge algebras
• Nonextensive effects on QCD chiral phase diagram and baryon-number fluctuations within Polyakov-Nambu-Jona-Lasinio model
• Magnetized pole-mass of neutral $\rho$ meson within full RPA evaluation
• Confining density functional approach for color superconducting quark matter and mesonic correlations
• A PNJL model in 0+1 Dimensions
• Effects of composite pions on the chiral condensate within the PNJL model at finite temperature
• Scale and confinement phase transitions in scale invariant $SU(N)$ scalar gauge theory
• Influence of the vector interaction and an external magnetic field on the isentropes near the chiral critical end point
• Role of the conserved charges in the chiral symmetry restoration phase transition
• Effective degrees of freedom in QCD thermodynamics
• Thermodynamics of quark matter with multiquark clusters in an effective Beth-Uhlenbeck type approach
• New insight on the quark condensate beyond chiral limit
• Two-flavor QCD at finite temperature and chemical potential in a functional approach
• Finite temperature properties of a modified Polyakov$-$Nambu$-$Jona-Lasinio model
• Mean free path of photons in relativistic heavy ion collisions
• Charged-particle multiplicity fluctuations in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Mass dependence of the deconfinement and chiral restoration critical temperatures in nonlocal SU(2) PNJL models
• On SU(3) effective models and chiral phase-transition
• Anomaly and a QCD-like phase diagram with massive bosonic baryons
• Chiral phase transition and kaon-to-pion ratios in the entanglement SU(3) PNJL model
• Confronting effective models for deconfinement in dense quark matter with lattice data
• The QCD critical point from the Nambu-Jona-Lasino model with a scalar-vector interaction
• Probing nuclear liquid-gas phase transition with isospin correlations
• A unified quark-nuclear matter equation of state from the cluster virial expansion within the generalized Beth-Uhlenbeck approach
• Coordinate versus momentum cuts and effects of collective flow on critical fluctuations
• Microcausality in strongly interacting fields
• Effective Field Theories of QCD for Heavy Quarkonia at Finite Temperature
• Polyakov-Nambu-Jona Lasinio model and Color-Flavor-Locked phase of QCD
• Effective Model Approach to the Dense State of QCD Matter
• QCD phase transition and equation of state of stellar strong interaction matter via Dyson-Schwinger equation approach
• Magnetic susceptibility of the QCD vacuum in a nonlocal SU(3) PNJL model
• Baryon number fluctuations induced by hadronic interactions at low temperature and large chemical potential
• Chiral restoration at finite temperature with meson loop corrections
• Exact high temperature expansion of the one-loop thermodynamic potential with complex chemical potential
• Degeneracy patterns of chiral companions at finite temperature
• Consistent approach to study gluon quasi-particles
• High temperature phase of QCD
• Polyakov loop, gluon mass, gluon condensate and its asymmetry near deconfinement
• Correlations and fluctuations in a magnetized PNJL model with and without inverse magnetic catalysis effect
• In-medium omega meson mass and quark condensate in a Nambu Jona-Lasinio model constrained by recent experimental data
• Effects of a non-zero strangeness-chemical potential in strong interaction models
• Strange stars admixed with dark matter: equiparticle model in a two fluid approach
• One-meson-loop NJL model: Effect of collective and noncollective excitations on the quark condensate at finite temperature
• Correction to the Chiral Magnetic Effect from axial-vector interaction
• Nucleon Properties in the Polyakov Quark Meson Model
• Chiral and deconfinement transitions in spin-polarized quark matter
• Deconfinement in the presence of a strong magnetic field
• QCD equation of state at vanishing and high baryon density: Chiral Mean Field model
• Bulk viscosity in strong and electroweak matter
• $Z_3$ meta-stable states in PNJL model
• The role of $U(1{)}_A$ symmetry breaking in the QCD corrections to the pion mass difference
• Polyakov loop fluctuations in the presence of external fields
• Crossover-model approach to QCD phase diagram, equation of state and susceptibilities in the 2+1 and 2+1+1 flavor systems
• Z(3) metastable states in Polyakov Quark Meson model
• Color superconductivity in the Nambu Jona-Lasinio model complemented by a Polyakov loop
• Stable Yang-Lee zeros in truncated fugacity series from net-baryon number multiplicity distribution
• Polyakov loop spectroscopy in the confined phase of gluodynamics and QCD
• Sensitivity of predictions in an effective model -- application to the chiral critical end point position in the Nambu--Jona-Lasinio model
• Chiral Hadronic Mean Field Model including Quark Degrees of Freedom
• Q-ball formation at the deconfinement temperature in large-$N_c$ QCD
• Model analysis on thermal UV-cutoff effects on the critical boundary in hot QCD
• Colour-singlet clustering of partons and recombination model for hadronization of quark-gluon plasma
• Vector meson spectral function and dilepton rate in the presence of strong entanglement effect between the chiral and the Polyakov loop dynamics
• A practical solution to the sign problem at finite theta-vacuum angle
• Strongly interacting matter in extreme magnetic fields
• Anatomy of the dense QCD matter from canonical sectors
• Practical approach to the sign problem at finite theta-vacuum angle
• Scaling violation and the magnetic equation of state in chiral models
• QCD phase diagram and charge fluctuations
• Quark mass dependence of thermal excitations in QCD in one-loop approximation
• Transport Theory from the Nambu-Jona-Lasinio Lagrangian
• Chiral criticality and glue dynamics
• Entropy production for an interacting quark-gluon plasma
• QCD phase diagram using PNJL model with eight-quark interactions
• In-medium effect on the thermodynamics and transport coefficients in van der Waals hadron resonance gas
• Multiplicity, probabilities, and canonical sectors for the cold QCD matter
• Using the Beth-Uhlenbeck approach to describe the kaon to pion ratio in a 2+1 flavor PNJL model
• Model analysis of thermal UV-cutoff effects on the chiral critical surface at finite temperature and chemical potential
• Kinetics of the chiral phase transition in a quark-meson $\sigma$-model
• Quark confinement in an equiparticle quark model: application to stellar matter
• Constraining the Hadron-Quark Phase Transition Chemical Potential via Astronomical Observation
• Chemical Freeze-out Parameters via a Non-perturbative QCD Approach
• Generalized Nambu-Goldstone pion in dense matter: a schematic NJL model
• Probing the hadron-quark mixed phase at high isospin and baryon density - Sensitive observables
• Isentropic thermodynamics and scalar-mesons properties near the QCD critical end point
• The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
• Polarization effects at finite temperature and magnetic field
• Entropy in the quark-hadron transition
• The phase diagram of N_f=2 and N_f=2+1 QCD from quark and gluon propagators
• Bayesian inference favors quark matter in neutron star interiors
• Correlations and fluctuations in a magnetized three-flavor PNJL model with and without inverse magnetic catalysis effect
• Quark matter with an anisotropic momentum distribution
• Bubble dynamics in the Polyakov quark-meson model
• Application of the path optimization method to a discrete spin system
• Cosmic QCD transition-from quark to strangeon and nucleon
• The Role of Color-Magnetic Monopoles in a Gluonic Plasma
• Pion and kaon in the Beth-Uhlenbeck approach
• Partial wave analysis for the in-hadron condensate
• Properties of 2+1-flavor QCD in the imaginary chemical potential region: model prediction
• QCD equation of state: Physical quark masses and asymptotic temperatures
• Phase diagram and pion modes of the neutral Nambu-Jona Lasinio model with the Polyakov loop
• Response functions of hot and dense matter in the Nambu-Jona-Lasino model
• Relation between the continuum threshold and the Polyakov loop with the QCD deconfinement transition
• Gravitating bubbles of gluon plasma above deconfinement temperature
• 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
• Unified Functional-Holographic Theory of the QCD Critical End Point
• Nonanalyticity, sign problem and Polyakov line in Z3-symmetric heavy quark model at low temperature: Phenomenological model analyses
• Monte-Carlo simulations of QCD Thermodynamics in the PNJL model
• Quark cluster expansion model for interpreting finite-T lattice QCD thermodynamics
• Debye mass and heavy quark potential in a PNJL quark plasma
• Beth-Uhlenbeck equation for the thermodynamics of fluctuations in a generalised 2+1D Gross-Neveu model
• Exploration of the phase diagram and the thermodynamic properties of QCD at finite temperature and chemical potential with the PNJL effective model
• The role of the chiral phase transition in modelling the kaon to pion ratio
• Extrapolation for meson screening masses from imaginary to real chemical potential
• Dynamical formation of center domains in quark-gluon plasma
• QCD Green's Functions and Phases of Strongly-Interacting Matter
• Compact Stars in Hadron and Quark-Hadron Models
• Building models of quarks and gluons with an arbitrary number of colors using Cartan-Polyakov loops
• Nonlocal chiral quark models with Polyakov loop at finite temperature and chemical potential
• Aspects of thermal strange quark production: the deconfinement and chiral phase transitions
• Working Group Report: Heavy-Ion Physics and Quark-Gluon Plasma
• Quark matter phase diagram under the influence of strong magnetic fields with a nonlocal chiral model
• Late-Time Cosmic Acceleration from QCD Confinement Dynamics
• Effects of Strong Magnetic Fields on the Hadron-Quark Deconfinement Transition
• Gluon condensate from the Polyakov loop
• Thermoelectric transport coefficients of quark matter
• Kinetics of the chiral phase transition in a quark-meson $\sigma$ model
• Susceptibilities and the Phase Structure of an Effective Chiral Model with Polyakov Loops
• Density functional approach to quark matter with confinement and color superconductivity
• Phase transitions at high and low densities for a rotating QCD matter from holography
• Nuclear matter, nuclei, and neutron stars in hadron and quark-hadron models
• Chiral, parity-doublet, effective-Lagrangian mean-field theories for nuclear and astrophysical phenomenology
• Finite-Size Effects on the Critical End Point of Magnetized Quark Matter in the Nonlocal PNJL Model
• Non-extensive Effects on the QCD Equation of State and Fluctuations of Conserved Charges within Polyakov Quark Meson Model
• Baryon and meson masses in the Nambu--Jona-Lasinio model: A Bayesian approach
• $Z_N$-balls: Solitons from $Z_N$-symmetric scalar field theory
• Mesons and diquarks in a color superconducting regime
• Properties of the Free Energy Density Using the Principle of Maximum Conformality
• On the Baryonic Density and Susceptibilities in a Holographic Model of QCD
• Structure and Cooling of Neutron and Hybrid Stars
• Finite temperature QCD crossover at non-zero chemical potential: A Dyson-Schwinger approach
• Pseudoscalar mesons from a PNJL model at zero temperature
• Isospin asymmetric matter in a nonlocal chiral quark model