Symmetry constraints on generalizations of Bjorken flow

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Abstract

I explain a generalization of Bjorken flow where the medium has finite transverse size and expands both radially and along the beam axis. If one assumes that the equations of viscous hydrodynamics can be used, with p=epsilon/3 and zero bulk viscosity, then the flow I describe can be developed into an exact solution of the relativistic Navier-Stokes equations. The local four-velocity in the flow is entirely determined by the assumption of symmetry under a subgroup of the conformal group.

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Asymptotic perfect fluid dynamics as a consequence of AdS/CFT

Robi Peschanski, Romuald Janik (2005)

We study the dynamics of strongly interacting gauge-theory matter (modelling quark-gluon plasma) in a boost-invariant setting using the AdS/CFT correspondence. Using Fefferman-Graham coordinates and with the help of holographic renormalization, we show that perfect fluid hydrodynamics emerges at large times as the unique nonsingular asymptotic solution of the nonlinear Einstein equations in the bulk. The gravity dual can be interpreted as a black hole moving off in the fifth dimension. Asymptotic solutions different from perfect fluid behaviour can be ruled out by the appearance of curvature singularities in the dual bulk geometry. Subasymptotic deviations from perfect fluid behaviour remain possible within the same framework.

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A calculation of the shear viscosity in SU(3) gluodynamics

Harvey B. Meyer (2007)

We perform a lattice Monte-Carlo calculation of the two-point functions of the energy-momentum tensor at finite temperature in the SU(3) gauge theory. Unprecedented precision is obtained thanks to a multi-level algorithm. The lattice operators are renormalized non-perturbatively and the classical discretization errors affecting the correlators are corrected for. A robust upper bound for the shear viscosity to entropy density ratio is derived, eta/s < 1.0, and our best estimate is eta/s = 0.134(33) at T=1.65Tc under the assumption of smoothness of the spectral function in the low-frequency region.

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Sonic booms and diffusion wakes generated by a heavy quark in thermal AdS/CFT

Steven S. Gubser, Silviu S. Pufu, Amos Yarom (2007)

We evaluate the Poynting vector generated by a heavy quark moving through a thermal state of N=4 gauge theory using AdS/CFT. A significant diffusion wake is observed as well as a Mach cone. We discuss the ratio of the energy going into sound modes to the energy coming in from the wake.