Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-12-12
Phys.Rev.D77:046006,2008
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, no figures; v2: references added
Scientific paper
10.1103/PhysRevD.77.046006
We study string theory duals of the expanding boost invariant conformal gauge theory plasmas at strong coupling. The dual supergravity background is constructed as an asymptotic late-time expansion, corresponding to equilibration of the gauge theory plasma. The absence of curvature singularities in the first few orders of the late-time expansion of the dual gravitational background unambiguously determines the equilibrium equation of the state, and the shear viscosity of the gauge theory plasma. While the absence of the leading pole singularities in the gravitational curvature invariants at the third order in late-time expansion determines the relaxation time of the plasma, the subleading logarithmic singularity can not be canceled within a supergravity approximation. Thus, a supergravity approximation to a dual description of the strongly coupled boost invariant expanding plasma is inconsistent. Nevertheless we find that the relaxation time determined from cancellation of pole singularities is quite robust.
Benincasa Paolo
Buchel Alex
Heller Michal P.
Janik Romuald A.
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