The quark susceptibility in a generalized dynamical quasiparticle model

Abstract

The quark susceptibility ${\chi }_q$ at zero and finite quark chemical potential provides a critical benchmark to determine the quark-gluon-plasma (QGP) degrees of freedom in relation to the results from lattice QCD (lQCD) in addition to the equation of state and transport coefficients. Here we extend the familiar dynamical-quasiparticle model (DQPM) to partonic propagators that explicitly depend on the three-momentum with respect to the partonic medium at rest in order to match perturbative QCD (pQCD) at high momenta. Within the extended dynamical-quasi-particle model (DQPM${}^{\ast }$) we reproduce simultaneously the lQCD results for the quark number density and susceptibility and the QGP pressure at zero and finite (but small) chemical potential ${\mu }_q$. The shear viscosity $\eta$ and the electric conductivity ${\sigma }_e$ from the extended quasiparticle model (DQPM${}^{\ast }$) also turn out in close agreement with lattice results for ${\mu }_q$ =0. The DQPM${}^{\ast }$, furthermore, allows to evaluate the momentum $p$, temperature $T$ and chemical potential ${\mu }_q$ dependencies of the partonic degrees of freedom also for larger ${\mu }_q$ which are mandatory for transport studies of heavy-ion collisions in the regime 5 GeV $<\sqrt{s_{NN}}<$ 10 GeV.

12 pages, 11 figures

References in corpus (20)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• The QCD equation of state with dynamical quarks
• Equation of state and QCD transition at finite temperature
• Infrared Properties of QCD from Dyson-Schwinger equations
• On the Strongly-Interacting Low-Viscosity Matter Created in Relativistic Nuclear Collisions
• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• The QCD phase diagram at nonzero quark density
• Quasi-Particle Theory of Shear and Bulk Viscosities of Hadronic Matter
• Parton transport and hadronization from the dynamical quasiparticle point of view
• Electrical conductivity and charge diffusion in thermal QCD from the lattice
• Magnetic-Field-Induced insulator-conductor transition in SU(2) quenched lattice gauge theory
• From Kadanoff-Baym dynamics to off-shell parton transport
• QCD thermodynamics and confinement from a dynamical quasiparticle point of view
• Quark number susceptibilities: lattice QCD versus PNJL model
• Hadronic and partonic sources of direct photons in relativistic heavy-ion collisions
• Curvature of the chiral pseudo-critical line in QCD
• Lattice QCD Thermodynamics with Physical Quark Masses
• Heavy quark scattering and quenching in a QCD medium at finite temperature and chemical potential
• Transport properties of the hot and dense sQGP
• Lattice calculation of the QGP viscosities - Present results and next project -

Cited by in corpus (11)

• Exploring the partonic phase at finite chemical potential within an extended off-shell transport approach
• 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
• Chiral matrix model of the semi-Quark Gluon Plasma in QCD
• Electrical conductivity and relaxation via colored noise in a hadronic gas
• Cross-conductivity: novel transport coefficients to constrain the hadronic degrees of freedom of nuclear matter
• Inelastic and elastic parton scatterings in the strongly interacting quark-gluon plasma
• Thermodynamical consistency of quasiparticle model at finite baryon density
• Baryon Number Fluctuations in Quasi-particle Model
• Jet transport coefficients by elastic and radiative scatterings in the strongly interacting quark-gluon plasma
• Directed flow of D and B mesons in an electrically and chirally conductive QGP at LHC energies