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Thermodynamics and bulk viscosity of approximate black hole duals to finite temperature quantum chromodynamics

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arxiv 0804.1950 v1 pith:73X2QBTP submitted 2008-04-11 hep-th

classification hep-th
keywords blackzetaholebulkdensityentropyrisetemperature
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider classes of translationally invariant black hole solutions whose equations of state closely resemble that of QCD at zero chemical potential. We use these backgrounds to compute the ratio zeta/s of bulk viscosity to entropy density. For a class of black holes that exhibits a first order transition, we observe a sharp rise in zeta/s near T_c. For constructions that exhibit a smooth cross-over, like QCD does, the rise in zeta/s is more modest. We conjecture that divergences in zeta/s for black hole horizons are related to extrema of the entropy density as a function of temperature.

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Cited by 6 Pith papers

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    hep-ph 2026-03 conditional novelty 5.0 of 10

    In a soft-wall holographic QCD model, chiral symmetry restores at ~155 MeV while the U(1) axial symmetry restores near 190 MeV — a separation the authors present despite an admitted mismatch with lattice QCD below 175 MeV.

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    Soft-wall AdS/QCD models reproduce mean-field chiral scaling functions and follow a T_c scaling law whose slope, tuned by a modified potential, can approach Dyson-Schwinger results.

  6. Transport coefficients and quasinormal modes in Einstein-dilaton holographic QCD

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