Color-electric conductivity in a viscous quark-gluon plasma *

Abstract

Several different transport processes, such as heat, momentum, and charge transports, may occur simultaneously in a thermal plasma system. The corresponding transport coefficients are heat conductivity, shear viscosity, and electric conductivity. In the present study, we investigate the color-electric conductivity of the quark-gluon plasma (QGP) in the presence of shear viscosity, focusing on the connection between the charge transport and momentum transport. To achieve this goal, we solve the viscous chromohydrodynamic equations obtained from the QGP kinetic theory associated with the distribution function modified by shear viscosity. According to the solved color fluctuations of hydrodynamic quantities, we obtain the induced color current through which the color-electric conductivity is derived. Numerical analysis shows that the conductivity properties of the QGP are mainly demonstrated by the longitudinal part of the color-electric conductivity. Shear viscosity has an appreciable impact on real and imaginary parts of the color-electric conductivity in some frequency regions.

The complex heavy-quark potential in an anisotropic quark-gluon plasma — Statics and dynamics

“…Numerous work has been devoted to investigate new phenomena arising in the presence of a momentum-space anisotropy. The relevant studies cover a very wide range, from collective modes [31,[34][35][36][37][38] and quarkonium physics [20,21,24,[27][28][29], to jet energy loss [39][40][41][42] and transport coefficients [43][44][45][46], as well as the development of an anisotropic hydrodynamics [32,47]. Some of them have already suggested experimentally detectable signals for the evidence of a non-zero anisotropy [29].…”