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Kubo Formulae for Second-Order Hydrodynamic Coefficients

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arxiv 1007.5333 v3 pith:RPVBRRZU submitted 2010-07-29 hep-ph hep-thnucl-th

Kubo Formulae for Second-Order Hydrodynamic Coefficients

classification hep-ph hep-thnucl-th
keywords coefficientskubolambda3second-orderadditionalcoefficientconformalcorrelation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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At second order in gradients, conformal relativistic hydrodynamics depends on the viscosity eta and on five additional "second-order" hydrodynamical coefficients tauPi, kappa, lambda1, lambda2, and lambda3. We derive Kubo relations for these coefficients, relating them to equilibrium, fully retarded 3-point correlation functions of the stress tensor. We show that the coefficient lambda3 can be evaluated directly by Euclidean means and does not in general vanish.

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Cited by 2 Pith papers

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