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.

References in corpus (35)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Radiative energy loss and $p_{\perp }$-broadening of high energy partons in nuclei
• New Forms of QCD Matter Discovered at RHIC
• Radiative energy loss of high energy quarks and gluons in a finite volume quark-gluon plasma
• Suppression of Hadrons with Large Transverse Momentum in Central Au+Au Collisions at $sqrt {s sub {sub {NN}}}_ = 130 GeV
• Fully quantum treatment of the Landau--Pomeranchuk--Migdal effect in QED and QCD
• Reaction Operator Approach to Non-Abelian Energy Loss
• Multiple Collisions and Induced Gluon Bremsstrahlung in QCD
• The Effect of Shear Viscosity on Spectra, Elliptic Flow, and HBT Radii
• Transport coefficients in high temperature gauge theories: (I) Leading-log results
• Gluon Radiation off Hard Quarks in a Nuclear Environment: Opacity Expansion
• Centrality dependence of high pT hadron suppression in Au+Au collisions at sqrt(sNN)=130 GeV
• Multiple Parton Scattering in Nuclei: Parton Energy Loss
• Calculating the Jet Quenching Parameter from AdS/CFT
• Collective Modes of an Anisotropic Quark-Gluon Plasma
• Multiple Scattering, Parton Energy Loss and Modified Fragmentation Functions in Deeply Inelastic eA Scattering
• Elastic, Inelastic, and Path Length Fluctuations in Jet Tomography
• Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory
• QCD Plasma Instabilities and Bottom-Up Thermalization
• Dihadron Tomography of High-Energy Nuclear Collisions in NLO pQCD
• Finite Temperature Spectral Densities of Momentum and R-Charge Correlators in $\mathbb{N}=4$ Yang Mills Theory
• Dynamics of Quark-Gluon-Plasma Instabilities in Discretized Hard-Loop Approximation
• Anomalous Viscosity of an Expanding Quark-Gluon Plasma
• QCD Plasma Instabilities: The Nonabelian Cascade
• Chromodynamic Weibel instabilities in relativistic nuclear collisions
• Causal Viscous Hydrodynamics for Central Heavy-Ion Collisions
• The turbulent spectrum created by non-Abelian plasma instabilities
• Anomalous Transport Processes in Anisotropically Expanding Quark-Gluon Plasmas
• Shear Viscosity to Entropy Density Ratio of QCD below the Deconfinement Temperature
• From Entropy and Jet Quenching to Deconfinement?
• A comparative study of Jet-quenching Schemes
• Deciphering the properties of the medium produced in heavy ion collisions at RHIC by a pQCD analysis of quenched large $p_{\perp }$ ${\pi }^0$ spectra
• Theoretical overview: towards understanding the quark-gluon plasma
• Diagnosing Energy Loss: PHENIX Results on High-pT Hadron Spectra

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