Title: Charmonium Spectral Functions and Transport Properties of Quark-Gluon Plasma Show Chinese title

Title: 夸克胶子等离子体的谱函数和输运性质

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 $1.5\,T_c<T<3.0\,T_c$, 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 $0.09<\eta/s<0.16$. Show Chinese abstract

Abstract: 我们基于介子关联函数的谱表示，研究了夸克胶子等离子体中的真空质量以及魅夸克的扩散系数。 为了计算关联函数，我们在雨衣-阶梯近似下求解夸克间隙方程和非齐次Bethe-Salpeter方程。 发现伪标量、标量和矢量通道中J/ψ的基态质量可以得到很好的描述。 对于$1.5\,T_c<T<3.0\,T_c$，扩散系数$D$的值与格点QCD和实验结果相当：$3.4<2\pi TD<5.9$。 将扩散系数与夸克胶子等离子体的剪切粘度与熵密度比值$\eta/s$相关联，我们得到了范围在$0.09<\eta/s<0.16$的值。