Charmonium Spectral Functions and Transport Properties of Quark-Gluon Plasma

Abstract

We study vacuum masses of charmonia and the charm-quark diffusion coefficient in the quark-gluon plasma based on the spectral representation for meson correlators. To calculate the correlators, we solve the quark gap equation and the inhomogeneous Bethe-Salpeter equation in the rainbow-ladder approximation. It is found that the ground-state masses of charmonia in the pseudoscalar, scalar, and vector channels can be well described. For $1.5T_c<T<3.0T_c$, the value of the diffusion coefficient $D$ is comparable with that obtained by lattice QCD and experiments: $3.4<2\pi TD<5.9$. Relating the diffusion coefficient with the ratio of shear viscosity to entropy density $\eta /s$ of the quark-gluon plasma, we obtain values in the range $0.09<\eta /s<0.16$.

arXiv comment5 pages, 4 figures

References in corpus (37)

• Dyson-Schwinger Equations and the Application to Hadronic Physics
• How Much do Heavy Quarks Thermalize in a Heavy Ion Collision?
• Dyson-Schwinger equations: a tool for hadron physics
• Maximum Entropy Analysis of the Spectral Functions in Lattice QCD
• $J/\psi$ and ${\eta }_c$ in the Deconfined Plasma from Lattice QCD
• Charmonium
• Static quark anti-quark interactions in zero and finite temperature QCD. I. Heavy quark free energies, running coupling and quarkonium binding
• Nonperturbative Heavy-Quark Diffusion in the Quark-Gluon Plasma
• Interaction model for the gap equation
• Electrical conductivity of the quark-gluon plasma across the deconfinement transition
• Charmonium properties in hot quenched lattice QCD
• Hadron Properties and Dyson-Schwinger Equations
• Pion electromagnetic form factor at spacelike momenta
• Charmonium at high temperature in two-flavor QCD
• Charmonium excited state spectrum in lattice QCD
• Heavy quark diffusion in perturbative QCD at next-to-leading order
• Continuum and lattice meson spectral functions at nonzero momentum and high temperature
• Charmonium Spectrum from Quenched Anisotropic Lattice QCD
• Gluon spectral functions and transport coefficients in Yang--Mills theory
• Infinite temperature limit of meson spectral functions calculated on the lattice
• Practical corollaries of transverse Ward-Green-Takahashi identities
• T-Matrix Approach to Quarkonium Correlation Functions in the QGP
• Bottomonium in a Bethe-Salpeter-equation study
• Potential Models for Quarkonia
• Ward-Green-Takahashi identities and the axial-vector vertex
• Precision Charmonium Spectroscopy From Lattice QCD
• Charmonium spectra at finite temperature from QCD sum rules with the maximum entropy method
• Quark Spectral Function and Deconfinement at Nonzero Temperature
• Selfconsistent Evaluation of Charm and Charmonium in the Quark-Gluon Plasma
• Quark spectral density and a strongly-coupled QGP
• Quark propagator at finite temperature and finite momentum in quenched lattice QCD
• Quark spectral properties above Tc from Dyson-Schwinger equations
• Selected highlights from the study of mesons
• Charmonium spectral functions from 2+1 flavour lattice QCD
• Charmonium spectral functions with the variational method in zero and finite temperature lattice QCD
• Extraction of Spectral Functions from Dyson-Schwinger Studies via the Maximum Entropy Method
• The fermion mass at next-to-leading order in the HTL effective theory

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• Transport coefficients of two-flavor quark matter from the Kubo formalism
• Temperature Effect on Shear and Bulk Viscosities of QCD Matter
• Chiral crossover transition from the Dyson-Schwinger equations in a sphere
• Thermal properties of $\pi$ and $\rho$ meson
• Chiral symmetry restoration and properties of Goldstone bosons at finite temperature
• Flavor dependence of the thermal dissociations of vector and axial-vector mesons
• Application of radial basis functions neutral networks in spectral functions