Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-04-08
Phys.Rev.D84:025006,2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages including two figures
Scientific paper
10.1103/PhysRevD.84.025006
Hydrodynamics predicts long-lived sound and shear waves. Thermal fluctuations in these waves can lead to the diffusion of momentum density, contributing to the shear viscosity and other transport coefficients. Within viscous hydrodynamics in 3+1 dimensions, this leads to a positive contribution to the shear viscosity, which is finite but inversely proportional to the microscopic shear viscosity. Therefore the effective infrared viscosity is bounded from below. The contribution to the second-order transport coefficient $\tau_\pi$ is divergent, which means that second-order relativistic viscous hydrodynamics is inconsistent below some frequency scale. We estimate the importance of each effect for the Quark-Gluon Plasma, finding them to be minor if $\eta/s = 0.16$ but important if $\eta/s = 0.08$.
Kovtun Pavel
Moore Guy D.
Romatschke Paul
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