Susceptibilities and speed of sound from PNJL model

Abstract

We present the Taylor expansion coefficients of the pressure in quark number chemical potential ${\mu }_0={\mu }_B/3={\mu }_u={\mu }_d$, for the strongly interacting matter as described by the PNJL model for two light degenerate flavours of quarks u and d. The expansion has been done upto eighth order in ${\mu }_0$, and the results are consistent with recent estimates from Lattice. We have further obtained the specific heat $C_V$, squared speed of sound $v_s^2$ and the conformal measure $\cC$.

arXiv comment13 pages, 8 figures, References added, some discussions on Fig. 4 modified, one table added, results unchanged, version to appear in Phys. Rev. D

References in corpus (102)

• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• QCD Phenomenology based on a Chiral Effective Lagrangian
• NJL-model analysis of dense quark matter
• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Signatures of the Tricritical Point in QCD
• Thermodynamics of SU(3) Lattice Gauge Theory
• Chiral effective model with the Polyakov loop
• Diquark Bose Condensates in High Density Matter and Instantons
• Phases of QCD: lattice thermodynamics and a field theoretical model
• Critical point of QCD at finite T and μ, lattice results for physical quark masses
• Flow at the SPS and RHIC as a Quark Gluon Plasma Signature
• Lattice determination of the critical point of QCD at finite T and μ
• The Effect of Shear Viscosity on Spectra, Elliptic Flow, and HBT Radii
• On the Phase Diagram of QCD
• Finite density QCD via imaginary chemical potential
• Color Superconductivity and Chiral Symmetry Restoration at Nonzero Baryon Density and Temperature
• Generic Rules for High Temperature Dimensional Reduction and Their Application to the Standard Model
• Quark Mass and Flavour Dependence of the QCD Phase Transition
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• A new method to study lattice QCD at finite temperature and chemical potential
• Fluctuation Probes of Quark Deconfinement
• Charged Particle Ratio Fluctuation as a Signal for QGP
• Free Energy of QCD at High Temperature
• The Equation of State for Two Flavor QCD at Non-zero Chemical Potential
• The Pressure in 2, 2+1 and 3 Flavour QCD
• Random matrix model of QCD at finite density and the nature of the quenched limit
• Approximately self-consistent resummations for the thermodynamics of the quark-gluon plasma. I. Entropy and density
• Quark-Gluon Plasma as a Condensate of Z(3) Wilson Lines
• The QCD Phase Diagram for Three Degenerate Flavors and Small Baryon Density
• Transport Coefficients of Gluon Plasma
• The equation of state in lattice QCD: with physical quark masses towards the continuum limit
• Hadronic fluctuations at the QCD phase transition
• The Three-Loop Free Energy for Pure Gauge QCD
• The Three-Loop Free Energy for High-Temperature QED and QCD with Fermions
• Chiral Symmetry Restoration and $Z_N$ Symmetry
• The phase diagram of neutral quark matter: Self-consistent treatment of quark masses
• The Free Energy of Hot Gauge Theories with Fermions Through g^5
• Highly Sensitive Centrality Dependence of Elliptic Flow -- A Novel Signature of the Phase Transition in QCD
• The Status of Lattice QCD at Finite Temperature
• 3d SU(N) + adjoint Higgs theory and finite temperature QCD
• Pressure and non-linear susceptibilities in QCD at finite chemical potentials
• The entropy of the QCD plasma
• The pressure of QCD at finite temperatures and chemical potentials
• The electrical conductivity and soft photon emissivity of the QCD plasma
• Soft Collective Excitations in Hot Gauge Theories
• Classical Transport Theory and Hard Thermal Loops in the Quark-Gluon Plasma
• Phase structure and critical temperature of two-flavor QCD with a renormalization group improved gauge action and clover improved Wilson quark action
• Quark number susceptibilities from HTL-resummed thermodynamics
• Anisotropic flow from AGS to LHC energies
• HTL Perturbation Theory to Two Loops
• Event-by-Event Fluctuations from Decay of a Polyakov Loop Condensate
• Equation of state for pure SU(3) gauge theory with renormalization group improved action
• Self-consistent hard-thermal-loop thermodynamics for the quark-gluon plasma
• Non-perturbative Debye mass in finite T QCD
• Equation of state in finite-temperature QCD with two flavors of improved Wilson quarks
• Hard-thermal-loop Resummation of the Thermodynamics of a Hot Gluon Plasma
• Renormalization group flow of SU(3) lattice gauge theory - Numerical studies in a two coupling space
• How to resum long-distance contributions to the QCD pressure?
• On the Convergence of Perturbative QCD at High Temperature
• Extensive study of phase diagram for charge neutral homogeneous quark matter affected by dynamical chiral condensation -- unified picture for thermal unpairing transitions from weak to strong coupling --
• On the Quasiparticle Description of Lattice QCD Thermodynamics
• Two-point functions for SU(3) Polyakov Loops near T_c
• Hard-thermal-loop Resummation of the Free Energy of a Hot Quark-Gluon Plasma
• Dimension two condensates and the Polyakov loop above the deconfinement phase transition
• The QCD equation of state near T_0 within a quasi-particle model
• What do lattice baryonic susceptibilities tell us about quarks, diquarks and baryons at $T>Tc$?
• The K/pi ratio from condensed Polyakov loops
• Finite Temperature Meson Correlation Functions in HTL Approximation
• Gluon Quasiparticles and the Polyakov Loop
• Two-loop HTL Thermodynamics with Quarks
• The isentropic equation of state of 2-flavor QCD
• Scaling in SU(3) Pure Gauge Theory with a Renormalization Group Improved Action
• Simple patterns for non-linear susceptibilities near T_c
• Velocity of sound in relativistic heavy-ion collisions
• Quark Number Susceptibility in Hard Thermal Loop Approximation
• HTL Resummation of the Thermodynamic Potential
• String Tension and Thermodynamics with Tree Level and Tadpole Improved Actions
• The Equation of State for Dense QCD and Quark Stars
• Deconfinement through Chiral Symmetry Restoration in Two-Flavour QCD
• The non-perturbative QCD Debye mass from a Wilson line operator
• Transverse momentum fluctuations due to temperature variation in high-energy nuclear collisions
• Responses of hadrons to chemical potential at finite temperature
• A precise determination of T_c in QCD from scaling
• Gauge-invariant scalar and field strength correlators in 3d
• Explosive Collisions at RHIC?
• Quark Number Susceptibility, Thermodynamic Sum Rule, and Hard Thermal Loop Approximation
• Thermodynamics of SU(3) gauge theory on anisotropic lattices
• The thermal heat kernel expansion and the one-loop effective action of QCD at finite temperature
• The speed of sound and specific heat in the QCD plasma: hydrodynamics, fluctuations and conformal symmetry
• Comparing different hard-thermal-loop approaches to quark number susceptibilities
• Gauge invariant effective action for the Polyakov line in the SU(N) Yang--Mills theory at high temperatures
• Hydrodynamic simulation of elliptic flow
• Coupling the Deconfining and Chiral Transitions
• Chiral Susceptibility in Hard Thermal Loop Approximation
• Chiral dynamics in QCD at finite chemical potential
• Meson correlation functions in a QCD plasma
• Dirac operator as a random matrix and the quenched limit of QCD with chemical potential
• Strings with a confining core in a Quark-Gluon Plasma
• Event-by-event fluctuations at SPS
• Fluctuation Results from PHENIX
• Pressure and non-linear quark number susceptibilities in QCD

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