Hydrodynamic transport coefficients for the non-conformal quark-gluon plasma from holography
| Autor: | Finazzo, Stefano I., Rougemont, Romulo, Marrochio, Hugo, Noronha, Jorge |
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| Rok vydání: | 2014 |
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| Zdroj: | JHEP 1502 (2015) 051 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP02(2015)051 |
| Popis: | In this paper we obtain holographic formulas for the transport coefficients $\kappa$ and $\tau_\pi$ 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. Comment: 47 pages, 13 figures, three appendices; references added; to appear in JHEP |
| Databáze: | arXiv |
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