Transport properties and equation-of-state of hot and dense QGP matter near the critical end-point in the phenomenological dynamical quasi-particle model

Abstract

We extend the effective dynamical quasiparticle model (DQPM) - constructed for the description of non-perturbative QCD phenomena of the strongly interacting quark-gluon plasma (QGP) - to large baryon chemical potentials, ${\mu }_B$, including a critical end-point and a 1st order phase transition. The DQPM description of quarks and gluons is based on partonic propagators with complex selfenergies where the real part of the selfenergies is related to the quasiparticle mass and the imaginary part to a finite width of their spectral functions. In DQPM the determination of complex selfenergies for the partonic degrees of freedom at zero and finite ${\mu }_B$ has been performed by adjusting the entropy density to the lQCD data. The temperature-dependent effective coupling (squared) $g^2(T/T_c)$, as well as the parton effective masses and widths are based on this adjustment. The novel extended dynamical quasiparticle model, named "DQPM-CP", makes it possible to describe thermodynamical and transport properties of quarks and gluons in a wide range of $T$ and ${\mu }_B$, and reproduces the equation-of-state (EoS) of lQCD calculations in the crossover region of finite $T,{\mu }_B$. We apply a scaling ansatz for the strong coupling constant near the CEP, located at ($T^{CEP}$, ${\mu }_B^{CEP})=(0.100,0.960)$ GeV. We show the EoS as well as the speed of sound for $T>T_c$ and for a wide range of ${\mu }_B$, which can be of interest for hydrodynamical simulations. Furthermore, we consider two settings for the strange quark chemical potentials (I) ${\mu }_s={\mu }_B/3$ and (II) ${\mu }_s=0$. The isentropic trajectories of the QGP matter are compared for these two cases. The phase diagram of DQPM-CP is close to PNJL calculations. The leading order pQCD transport coefficients of both approaches differ. This elucidates that the knowledge of the phase diagram alone is not sufficient to describe the dynamical evolution of QGP.

arXiv comment18 pages, 17 figures

References in corpus (61)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Critical Phenomena and Renormalization-Group Theory
• The equation of state in (2+1)-flavor QCD
• Full result for the QCD equation of state with 2+1 flavors
• Chiral crossover in QCD at zero and non-zero chemical potentials
• Color Superconductivity and Chiral Symmetry Restoration at Nonzero Baryon Density and Temperature
• Static quark anti-quark interactions in zero and finite temperature QCD. I. Heavy quark free energies, running coupling and quarkonium binding
• The QCD crossover at finite chemical potential from lattice simulations
• Parton-Hadron-String Dynamics: an off-shell transport approach for relativistic energies
• The importance of the bulk viscosity of QCD in ultrarelativistic heavy-ion collisions
• Universal properties of bulk viscosity near the QCD phase transition
• Universality, the QCD critical/tricritical point and the quark number susceptibility
• Approximately self-consistent resummations for the thermodynamics of the quark-gluon plasma. I. Entropy and density
• The QCD Phase Diagram for Three Degenerate Flavors and Small Baryon Density
• QCD equation of state at nonzero chemical potential: continuum results with physical quark masses at order mu^2
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Two liquid states of matter: A new dynamic line on a phase diagram
• Static quark anti-quark free energy and the running coupling at finite temperature
• Chiral phase transition temperature in (2+1)-Flavor QCD
• Quasi-Particle Theory of Shear and Bulk Viscosities of Hadronic Matter
• The hot non-perturbative gluon plasma is an almost ideal colored liquid
• Dynamic universality class of the QCD critical point
• Lattice QCD equation of state at finite chemical potential from an alternative expansion scheme
• Hydrodynamical evolution near the QCD critical end point
• 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
• Effective QCD and transport description of dilepton and photon production in heavy-ion collisions and elementary processes
• Perturbative Thermal QCD: Formalism and Applications
• Dynamical quasiparticles properties and effective interactions in the sQGP
• Bulk viscosity and spectral functions in QCD
• Sigma and hydrodynamic modes along the critical line
• QCD thermodynamics and confinement from a dynamical quasiparticle point of view
• Transport coefficients near chiral phase transition
• Cool quark matter
• Dynamical vs. equilibrium properties of the QCD phase transition: a holographic perspective
• Temperature dependence of shear viscosity of $SU(3)$--gluodynamics within lattice simulation
• Critical line of 2+1 flavor QCD: Toward the continuum limit
• Exploring the partonic phase at finite chemical potential within an extended off-shell transport approach
• Collisional processes of on-shell and off-shell heavy quarks in vacuum and in the Quark-Gluon-Plasma
• Self-consistent approximations in relativistic plasmas: Quasiparticle analysis of the thermodynamic properties
• Chiral phase transition in the presence of spinodal decomposition
• Chiral Susceptibility in (2+1)-flavour QCD
• How parameters and regularization affect the PNJL model phase diagram and thermodynamic quantities
• Far-from-equilibrium search for the QCD critical point
• Phenomenological Consequences of Enhanced Bulk Viscosity Near the QCD Critical Point
• Diffusion processes involving multiple conserved charges: a first study from kinetic theory and implications to the fluid-dynamical modeling of heavy ion collisions
• Transport coefficients for the hot quark-gluon plasma at finite chemical potential ${\mu }_B$
• A dynamical quasiparticle approach for the Quark-Gluon-Plasma bulk and transport properties
• Temperature dependence of bulk viscosity within lattice simulation of $SU(3)$--gluodynamics
• The QCD critical end point in the SU(3) Nambu--Jona-Lasinio model
• Light nuclei production in relativistic heavy ion collisions from the AMPT model
• Shear viscosity and electric conductivity of a hot and dense QGP with a chiral phase transition
• Baryon transport and the QCD critical point
• Critical behaviors near the (tri-)critical end point of QCD within the NJL model
• Finite-density QCD transition in magnetic field background
• Strong coupling theory of heavy fermion criticality II
• Isentropic evolution of the matter in heavy-ion collisions and the search for the critical endpoint
• Heavy quark scattering and quenching in a QCD medium at finite temperature and chemical potential
• The phase diagram of the Polyakov Nambu Jona-Lasinio approach for finite chemical potentials
• Susceptibilities and critical exponents within the Nambu--Jona-Lasinio model

Cited by in corpus (1)

• The quest for the quark-gluon plasma from the perspective of dynamical models of relativistic heavy-ion collisions