Polarization energy loss in hot viscous quark-gluon plasma

TL;DR

This paper derives the gluon polarization tensor in a viscous quark-gluon plasma to study how shear viscosity affects the energy loss of fast quarks, finding that viscosity reduces energy loss.

Contribution

It introduces a viscous chromohydrodynamics approach to derive the gluon polarization tensor and analyze polarization energy loss in viscous quark-gluon plasma.

Findings

Shear viscosity significantly reduces polarization energy loss.

The dielectric functions are evaluated from the polarization tensor.

Numerical analysis supports the impact of viscosity on energy loss.

Abstract

The gluon polarization tensor for the quark-gluon plasma with shear viscosity is derived with the viscous chromohydrodynamics. The longitudinal and transverse dielectric functions are evaluated from the gluon polarization tensor, through which the polarization energy loss suffered by a fast quark traveling through the viscous quark-gluon plasma is investigated. The numerical analysis indicates that shear viscosity significantly reduces the polarization energy loss.