Hydrodynamic transport coefficients for the non-conformal quark-gluon plasma from holography

Stefano I. Finazzo, Romulo Rougemont, Hugo Marrochio, Jorge Noronha

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we obtain holographic formulas for the transport coefficients κ and τπ present in the second-order derivative expansion of relativistic hydrodynamics in curved spacetime associated with a non-conformal strongly coupled plasma described holographically by an Einstein+Scalar action in the bulk. We compute these coefficients as functions of the temperature in a bottom-up non-conformal model that is tuned to reproduce lattice QCD thermodynamics at zero baryon chemical potential. We directly compute, besides the speed of sound, 6 other transport coefficients that appear at second-order in the derivative expansion. We also give an estimate for the temperature dependence of 11 other transport coefficients taking into account the simplest contribution from non-conformal effects that appear near the QCD crossover phase transition. Using these results, we construct an Israel-Stewart-like theory in flat spacetime containing 13 of these 17 transport coefficients that should be suitable for phenomenological applications in the context of numerical hydrodynamic simulations of the strongly-coupled, non-conformal quark-gluon plasma. Using several different approximations, we give parametrizations for the temperature dependence of all the second-order transport coefficients that appear in this theory in a format that can be easily implemented in existing numerical hydrodynamic codes.

Original languageEnglish (US)
Article number51
JournalJournal of High Energy Physics
Volume2015
Issue number2
DOIs
StatePublished - Jan 1 2015
Externally publishedYes

Keywords

  • Holography and quark-gluon plasmas
  • Quark-Gluon Plasma

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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