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Equation of State and Viscosities from a Gravity Dual (AdS/QCD)

Equation of State and Viscosities from a Gravity Dual (AdS/QCD). B. Kämpfer. Helmholtz-Zentrum Dresden-Rossendorf Technische Universität Dresden. viscosity is important for flow pattern and splashes. water:. Bulk Viscosity Could Matter. Dusling, Schafer, PRC 85 (2012) 044909.

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Equation of State and Viscosities from a Gravity Dual (AdS/QCD)

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  1. Equation of State and Viscosities from a Gravity Dual (AdS/QCD) B. Kämpfer Helmholtz-Zentrum Dresden-Rossendorf Technische Universität Dresden

  2. viscosity is important for flow pattern and splashes water:

  3. Bulk Viscosity Could Matter Dusling, Schafer, PRC 85 (2012) 044909 pQCD (leading log): 48

  4. Bulk Viscosity Matters Noronha-Hostler, Denicol, Noronha, Andrade, GrassiarXiv:1305.1981

  5. Bulk Viscosity Can Matter Basar, Kharzeev, Skokov, PRL 109 (2012) 202303 Tuchin, arXiv:1301.0099 coupling of conformal anomaly to photons  solution of photon-v2 puzzle? data: PHENIX PRL 109 (2012) 122302

  6. Compilation of Lattice Results & QPM Bluhm et al., PLB 709 (2012) 77, PRC 84 (2011) 025201 (1) EoS

  7. (2) relaxation time a = 3.78, b = - 0.3

  8. AdS/QCD 5D Riemann: x,z 4D Minkowski: x semi-class. gravity strongly coupled gauge theo. X(x, z) gauge-inv. Operators (x) asymp. AdS black brane: T (Hawking) s (Bekenstein) semi-class. functional correlation functions breaking conf. sym. by mass scale, e.g. dilation + potential

  9. gravity setup Einstein - Hilbert metric ansatz (Riemann) gauged radial coordinate  scale Gubser et al. PRL 101 (2008) 131601, PRD 78 (2008) 086007

  10. AdS 0 U = V / (3 V‘) Bekenstein Hawking  EoS

  11. bottom-up approach: EoS (lattice QCD)  dilaton potential ansatz: Gubser type pot. + polynom. distortions T/Tc vs. TL: from T(s/T^3) min. or turning G5: from s/T^3

  12. lattice QCD, SU(3) gauge theory, Borsanyi et al., JHEP 1207 (2012) 056 consistent with Boyd et al., NPB 469 (1996) 419

  13. bulk viscosity Gubser et al., JHEP 0808 (2008) 085 different formulation: Eling, Oz, JHEP 1106 (2011) 007 cf. Buchel, Gursoy, Kiritsis, JHEP 1109 (2011) 095 AdS 0 shear viscosity is independent of V KSS, JHEP 0310 (2003) 064 Policastro, Son, Starinets, PRL 87 (2001) 081601

  14. benefit: w/o further input  spectral functions  transport coefficients as in QPM (Bluhm et al.)

  15. bulk viscosity is not universal (as, e.g. shear viscosity/entropy)  sensitive dependence on pot. parameters

  16. including quarks: what is the right EoS? R.R. Caldwell, S.S. Gubser, DOI: 10.1103/PhysRevD.87.063523 Bazavov et al., PRD 80 (2009) 014504 Borsanyi et al., JHEP 1011 (2010) 077 u,d,s,g if would be the same  same V

  17. meson in vector channel Abelian field strength of V soft-wall model: AdS/QCD, soft-wall model, Cui. Takeuchi, Wu, 1112.5923 (T in GeV) mass shift JHEP 1204 (2012) 144

  18. Schwarzschild BH  Reissner-Nordstrom BH: chem. pot. AdS/QCD, soft-wall model, Colangelo, Giannuzzi, Nicotri, 1201.1564, JHEP 1205 (2012) 076 mass shift + broadening vision: beyond soft-wall ansatz  dilaton consistent with EoS problem: missing unique QCD results with quarks

  19. Summary after precise adjustment of EoS at lattice data

  20. Outlook spectral functions & medium on equal footing  beyond soft-wall models temperature dependence of eta/s  beyond Einstein-Hilbert action mu > 0  CEP: Cremonini, Gursoy, Szepietowski, JHEP 08 (2012) 167 DeWolfe, Gubser, Rosen, PRD 83 (2011) 086005, PRD 84 (2011) 126014

  21. Retro: Common Work with K. Redlich Hentschel, BK, Pavlenko, Redlich, Soff, Z. Phys. C75 (1997) 333 Bluhm, BK, Redlich, PLB 709 (2012) 77 PRC 84 (2011) 025201 NPA 830 (2009) 737

  22. AdS/CFT Emissivities Baier,Stricker, Taanila, Vuorinen, Phys.Rev. D86 (2012) 081901, JHEP 1207 (2012) 094 at T > 200 MeV, one obtains the thermalization time scale ~ 0.1 fm/c, which one might compare with the typical production time of dileptons with mass/energy larger than 5 GeV, tau_p < 0.04 fm/c. It appears that dilepton pairs produced early on have a reasonable chance to escape the system while it is still out of thermal equilibrium.  problem of particle production in dynamical systems

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