Small Shear Viscosity of a Quark-Gluon Plasma Implies Strong Jet Quenching

Abstract

We derive an expression relating the transport parameter $\hat{q}$ and the shear viscosity $\eta$ of a weakly coupled quark-gluon plasma. A deviation from this relation can be regarded as a quantitative measure of ``strong coupling'' of the medium. The ratio $T^3/\hat{q}$, where $T$ is the temperature, is a more broadly valid measure of the coupling strength of the medium than $\eta /s$, where $s$ denotes the entropy density. Different estimates of $\hat{q}$ derived from existing RHIC data are shown to imply radically different structures of the produced matter.

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• Dihadron Tomography of High-Energy Nuclear Collisions in NLO pQCD
• A comparative study of Jet-quenching Schemes
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Cited by in corpus (4)

• Global quark polarization in non-central $A+A$ collisions
• QCD Viscosity to Entropy Density Ratio in the Hadronic Phase
• Jet Propagation and Mach Cones in (3+1)d Ideal Hydrodynamics
• Jet quenching parameter \hat q in the stochastic QCD vacuum with Landau damping