Thermodynamics of the PNJL model

Abstract

QCD thermodynamics is investigated by means of the Polyakov-loop-extended Nambu Jona-Lasinio (PNJL) model, in which quarks couple simultaneously to the chiral condensate and to a background temporal gauge field representing Polyakov loop dynamics. The behaviour of the Polyakov loop as a function of temperature is obtained by minimizing the thermodynamic potential of the system. A Taylor series expansion of the pressure is performed. Pressure difference and quark number density are then evaluated up to sixth order in quark chemical potential, and compared to the corresponding lattice data. The validity of the Taylor expansion is discussed within our model, through a comparison between the full results and the truncated ones.

arXiv comment6 pages, 5 figures, Talk given at the Workshop for Young Scientists on the Physics of Ultrarelativistic Nucleus-Nucleus Collisions (Hot Quarks 2006), Villasimius, Italy, 15-20 May 2006

References in corpus (37)

• Thermodynamics of SU(3) Lattice Gauge Theory
• 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
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• The Quark-Gluon Plasma in Equilibrium
• 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 Equation of State for Two Flavor QCD at Non-zero Chemical Potential
• Quark-Gluon Plasma as a Condensate of Z(3) Wilson Lines
• The QCD Phase Diagram for Three Degenerate Flavors and Small Baryon Density
• Hadron Resonance Mass Spectrum and Lattice QCD Thermodynamics
• Thermodynamics at Non-Zero Baryon Number Density: A Comparison of Lattice and Hadron Resonance Gas Model Calculations
• Massive gluons and quarks and the equation of state obtained from SU(3) lattice QCD
• Chiral Symmetry Restoration and $Z_N$ Symmetry
• Polyakov loop in chiral quark models at finite temperature
• Susceptibilities and speed of sound from PNJL model
• The Equation of State of Deconfined Matter at Finite Chemical Potential in a Quasiparticle Description
• The Status of Lattice QCD at Finite Temperature
• The QCD equation of state at nonzero densities: lattice result
• Phenomenological Equations of State for the Quark-Gluon Plasma
• QCD thermodynamics from an imaginary mu_B: results on the four flavor lattice model
• Confinement versus Chiral Symmetry
• Dense Quarks, and the Fermion Sign Problem, in a SU(N) Matrix Model
• Thermodynamics of two-colour QCD and the Nambu Jona-Lasinio model
• On the Quasiparticle Description of Lattice QCD Thermodynamics
• The QCD equation of state near T_0 within a quasi-particle model
• Gluon Quasiparticles and the Polyakov Loop
• HTL quasiparticle models of deconfined QCD at finite chemical potential
• Quasiparticle Description of Hot QCD at Finite Quark Chemical Potential
• Quasiparticle Description of the QCD Plasma, Comparison with Lattice Results at Finite T and Mu
• Equation of state of deconfined matter within dynamical quasiparticle description
• Thermodynamic limit of the canonical partition function with respect to the quark number in QCD
• Evaporation of the gluon condensate: a model for pure gauge SU(3)_c phase transition
• Quasi-particle model of strongly interacting matter

Cited by in corpus (109)

• The Phase Structure of the Polyakov--Quark-Meson Model
• Polyakov loop, diquarks and the two-flavour phase diagram
• Physics of Strongly coupled Quark-Gluon Plasma
• The Physics of Glueballs
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• Transport coefficients from the Nambu-Jona-Lasinio model for $SU(3{)}_f$
• Transport coefficients from the Nambu-Jona-Lasinio model for $SU(3{)}_f$
• Recent thermodynamic results from lattice QCD analyzed within a quasi-particle model
• The chiral and deconfinement crossover transitions: PNJL model beyond mean field
• Meson fluctuations and thermodynamics of the Polyakov loop extended quark-meson model
• Critical endpoint in the Polyakov-loop extended NJL model
• Entanglement between deconfinement transition and chiral symmetry restoration
• Quark number susceptibilities: lattice QCD versus PNJL model
• 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 chiral phase transition with a chiral chemical potential in the framework of Dyson-Schwinger equations
• 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
• Determination of QCD phase diagram from the imaginary chemical potential region
• Chiral and deconfinement transitions in a magnetic background using the functional renormalization group with the Polyakov loop
• Are there hadronic bound states above the QCD transition temperature?
• Roberge-Weiss phase transition and its endpoint
• QCD phase diagram at finite baryon and isospin chemical potentials
• The kurtosis of net baryon number fluctuations from a realistic Polyakov--Nambu--Jona-Lasinio model along the experimental freeze-out line
• Thermodynamic phases and mesonic fluctuations in a chiral nucleon-meson model
• Kurtosis and compressibility near the chiral phase transition
• The problem of repulsive quark interactions - Lattice versus mean field models
• Vector-type four-quark interaction and its impact on QCD phase structure
• Molecular dynamics description of an expanding $q$/$\bar{q}$ plasma with the Nambu--Jona-Lasinio model and applications to heavy ion collisions at RHIC and LHC energies
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Confinement and Z_3 symmetry in three-flavor QCD
• Effects of quark anomalous magnetic moment on the thermodynamical properties and mesonic excitations of magnetized hot and dense matter in PNJL model
• Lattice study on QCD-like theory with exact center symmetry
• Polyakov loop and the color-flavor locked phase of Quantum Chromodynamics
• Differences and similarities between fundamental and adjoint matters in SU(N) gauge theories
• Vector interaction strength in Polyakov-Nambu-Jona-Lasinio models from hadron-quark phase diagrams
• Regularizing thermo and magnetic contributions within nonrenormalizable theories
• Studies of the structure of massive hybrid stars within a modified NJL model
• Influence of the Polyakov loop on the chiral phase transition in the two flavor chiral quark model
• Dilepton production from magnetized quark matter with an anomalous magnetic moment of the quarks using a three-flavor PNJL model
• Thermodynamics and quark susceptibilities: a Monte-Carlo approach to the PNJL model
• QCD phase diagram at imaginary baryon and isospin chemical potentials
• Theta vacuum effects on QCD phase diagram
• The quarkynic phase and the Z_{Nc} symmetry
• Dynamical Generation of a Repulsive Vector Contribution to the Quark Pressure
• Hadron-quark phase transition in a hadronic and Polyakov--Nambu--Jona-Lasinio models perspective
• Understanding of QCD at high density from Z3-symmetric QCD-like theory
• Correlations among discontinuities in QCD phase diagram
• Meson mass at real and imaginary chemical potentials
• Polyakov-Nambu-Jona-Lasinio phase diagrams and quarkyonic phase from order parameters
• Model prediction for temperature dependence of meson pole masses from lattice QCD results on meson screening masses
• Deconfinement and chiral phase transitions in quark matter with a strong electric field
• Thermodynamics and phase diagrams of Polyakov-loop extended chiral models
• Spectral Functions in V-QCD with Matter: Masses, Susceptibilities, Diffusion and Conductivity
• Non-linear waves in a Quark Gluon Plasma
• Modelling Hybrid Stars in Quark-Hadron Approaches
• Nonperturbative SU(3) thermodynamics and the phase transition
• Phase structure and Hosotani mechanism in gauge theories with compact dimensions revisited
• Average phase factor in the PNJL model
• Anisotropic pressure of magnetized quark matter with anomalous magnetic moment
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Heavy quark diffusion in a Polyakov loop plasma
• Determination of $U(1{)}_{\mathrm{A}}$ restoration from pion and $a_0$-meson screening masses: Toward the chiral regime
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• The Instanton-Dyon Liquid Model III: Finite Chemical Potential
• Impact of vector-current interactions on the QCD phase diagram
• In medium properties of axion within a Polyakov loop enhanced Nambu-Jona-Lasinio model
• Interplay between sign problem and Z_3 symmetry in three-dimensional Potts model
• Thermodynamical phases in a PNJL model at zero temperature
• PNJL model at zero temperature: three-flavor case
• Effective model approach to meson screening masses at finite temperature
• Comparison between the continuum threshold and the Polyakov loop as deconfinement order parameters
• 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
• 2+1 flavors QCD equation of state at zero temperature within Dyson-Schwinger equations
• 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
• The thermal evolution of nuclear matter at zero temperature and definite baryon number density in chiral perturbation theory
• Second look to the Polyakov Loop Nambu-Jona-Lasinio model at finite baryonic density
• Quark scattering off quarks and hadrons
• Asymptotically conformal CFL quark matter within a nonlocal chiral quark model
• Sign problem in $Z_3$-symmetric effective Polyakov-line model
• Vector and axial-vector meson properties in a nonlocal SU(2) PNJL model
• 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
• Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
• A PNJL model in 0+1 Dimensions
• Collective dynamics of polarized spin-half fermions in relativistic heavy-ion collisions
• Isospin effect on baryon and charge fluctuations from the pNJL model
• Conserved Charge Fluctuations in a Chiral Hadronic Model including Hadrons and Quarks
• Strange stars admixed with dark matter: equiparticle model in a two fluid approach
• QCD critical end point from a realistic PNJL model
• Chiral Hadronic Mean Field Model including Quark Degrees of Freedom
• Color superconductivity in the Nambu Jona-Lasinio model complemented by a Polyakov loop
• The non-perturbative analytical equation of state for the gluon matter. I
• Crossover-model approach to QCD phase diagram, equation of state and susceptibilities in the 2+1 and 2+1+1 flavor systems
• $Z_3$ meta-stable states in PNJL model
• Chiral and deconfinement transitions in spin-polarized quark matter
• Study of hybrid stars with nonstrange quark matter cores
• Quark confinement in an equiparticle quark model: application to stellar matter
• Relation between the continuum threshold and the Polyakov loop with the QCD deconfinement transition
• Lattice QCD at finite density: imaginary chemical potential
• Bayesian inference favors quark matter in neutron star interiors
• Extrapolation for meson screening masses from imaginary to real chemical potential
• Gravitating bubbles of gluon plasma above deconfinement temperature
• Monte-Carlo simulations of QCD Thermodynamics in the PNJL model
• $Z_N$-balls: Solitons from $Z_N$-symmetric scalar field theory
• Speed of sound of QCD matter at chiral crossover
• Pseudoscalar mesons from a PNJL model at zero temperature