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 $0.09<\eta /s<0.16$.

5 pages, 4 figures

References in corpus (13)

• Charmonium
• Nonperturbative Heavy-Quark Diffusion in the Quark-Gluon Plasma
• Charmonium properties in hot quenched lattice QCD
• Hadron Properties and Dyson-Schwinger Equations
• 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
• T-Matrix Approach to Quarkonium Correlation Functions in the QGP
• Potential Models for Quarkonia
• Quark spectral density and a strongly-coupled QGP
• Quark spectral properties above Tc from Dyson-Schwinger equations
• 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

Cited by in corpus (5)

• 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