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Shear viscosity in QCD and why it's hard to calculate

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arxiv 2010.15704 v1 pith:5JIZUKKQ submitted 2020-10-29 hep-ph

classification hep-ph
keywords viscosityshearanalysisanalyticalapproachesbehindbestcalculate
verification ladder T0 review T1 audit T2 compute T3 formal

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Shear viscosity is a dynamical property of fluid systems close to equilibrium, describing resistance to sheared flow. After reviewing the physics of viscosity and the reason it is usually difficult to compute, I discuss its importance within the theory of QCD and the obstacles to carrying out such a computation. A diagrammatic analysis requires extensive resummations and even then convergence is poor at physically relevant couplings. Lattice approaches require a poorly controlled analytical continuation of data from the Euclidean to the Minkowski domain. At present our best results for QCD shear viscosity come from the hydrodynamical interpretations of experiments, with first-principles calculations trailing behind.

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Cited by 3 Pith papers

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    In a matrix model of the semi-QGP with teen ghost fields, zeta/s is largest at T_d, comparable to eta/s, while eta/s stays well above the AdS/CFT bound.

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    A Gaussian stochastic partition function constrained by gravitational Ward identities yields a proposed generally covariant fluctuating hydrodynamics in which flow is an approximate Killing vector.

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