Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shear viscosity in late time of hydrodynamic evolution in AdS/CFT
  duality   We investigate the shear viscosity $\eta$ and the entropy density $s$ of
strongly coupled $\mathcal{N}=4$ super Yang-Mills (SYM) plasma in late time of
hydrodynamic evolution with AdS/CFT duality and Bjorken scaling. We use
correlation function method proposed by Kovtun, Son and Starinets. We obtain
the metric $g_{\mu\nu}$ in a proper time dependent $AdS_{5}$ space through
holographic renormalization, whose boundary condition is given by
energy-momentum tensor of the plasma in 2+1 dimension with transverse expansion
or radial flow. With the metric we compute $\eta$ and $s$ of fluids in 1+1 and
2+1 dimension without and with radial flow. We find the ratio $\eta/s=1/(4\pi)$
in 1+1 dimension consistent with the Kovtun-Son-Starinets bound if
next-to-leading terms in proper time are included in the equation of motion for
metric perturbations. For 2+1 dimension the result is unchanged in the leading
order of transverse rapidity.

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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an