1. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 1 B. Kampfer I Institute of Radiation Physics I www.hzdr.de Equation of State and Viscosities from a Gravity Dual (AdS/QCD) B. Kämpfer Helmholtz-Zentrum Dresden-Rossendorf Technische Universität Dresden

2. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 2 water: viscosity is important for flow pattern and splashes

3. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 3 Bulk Viscosity Could Matter Dusling, Schafer, PRC 85 (2012) 044909 pQCD (leading log): 48

4. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 4 Bulk Viscosity Matters Noronha-HostlerNoronha-Hostler, Denicol, Noronha, Andrade, Grassi arXiv:1305.1981DenicolNoronhaAndradeGrassiarXiv:1305.1981

5. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 5 Bulk Viscosity Can Matter coupling of conformal anomaly to photons Basar, Kharzeev, Skokov, PRL 109 (2012) 202303  solution of photon-v2 puzzle? data: PHENIX PRL 109 (2012) 122302 Tuchin, arXiv:1301.0099arXiv:1301.0099

6. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 6 Bluhm et al., PLB 709 (2012) 77, PRC 84 (2011) 025201 Compilation of Lattice Results & QPM (1) EoS

7. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 7 a = 3.78, b = - 0.3 (2) relaxation time

8. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 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. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 9 gravity setup metric ansatz (Riemann) Einstein - Hilbert gauged radial coordinate  scale Gubser et al. PRL 101 (2008) 131601, PRD 78 (2008) 086007

10. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 10 U = V / (3 V‘)  EoS 0 AdS Bekenstein Hawking

11. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 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. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 12 lattice QCD, SU(3) gauge theory, Borsanyi et al., JHEP 1207 (2012) 056 consistent with Boyd et al., NPB 469 (1996) 419

13. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 13 bulk viscosity shear viscosity is independent of V Gubser et al., JHEP 0808 (2008) 085 KSS, JHEP 0310 (2003) 064 Policastro, Son, Starinets, PRL 87 (2001) 081601 different formulation: Eling, Oz, JHEP 1106 (2011) 007 cf. Buchel, Gursoy, Kiritsis, JHEP 1109 (2011) 095 0 AdS

14. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 14 benefit: w/o further input  spectral functions  transport coefficients as in QPM (Bluhm et al.)

15. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 15 bulk viscosity is not universal (as, e.g. shear viscosity/entropy)  sensitive dependence on pot. parameters

16. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 16 R.R. CaldwellR.R. Caldwell, S.S. Gubser, DOI: 10.1103/PhysRevD.87.063523S. Gubser10.1103/PhysRevD.87.063523 Bazavov et al., PRD 80 (2009) 014504 Borsanyi et al., JHEP 1011 (2010) 077 u,d,s,g including quarks: what is the right EoS? if would be the same  same V

17. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 17 AdS/QCD, soft-wall model, Cui. Takeuchi, Wu, 1112.5923 (T in GeV) JHEP 1204 (2012) 144 meson in vector channel Abelian field strength of V soft-wall model: mass shift

18. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 18 AdS/QCD, soft-wall model, Colangelo, Giannuzzi, Nicotri, 1201.1564, JHEP 1205 (2012) 076 Schwarzschild BH  Reissner-Nordstrom BH: chem. pot. vision: beyond soft-wall ansatz  dilaton consistent with EoS problem: missing unique QCD results with quarks mass shift + broadening

19. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 19 Summary after precise adjustment of EoS at lattice data

20. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 20 Outlook spectral functions & medium on equal footing  beyond soft-wall models temperature dependence of eta/s  beyond Einstein-Hilbert action mu > 0  CEP: DeWolfe, Gubser, Rosen, PRD 83 (2011) 086005, PRD 84 (2011) 126014 Cremonini, Gursoy, Szepietowski, JHEP 08 (2012) 167

21. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 21 Bluhm, BK, Redlich, PLB 709 (2012) 77 PRC 84 (2011) 025201 NPA 830 (2009) 737 Retro: Common Work with K. Redlich Hentschel, BK, Pavlenko, Redlich, Soff, Z. Phys. C75 (1997) 333HentschelPavlenkoRedlichSoff

22. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 22

23. B. Kampfer I Institute of Radiation Physics I www.hzdr.de Member of the Helmholtz Association page 23 AdS/CFT Emissivities BaierBaier,Stricker, Taanila, Vuorinen, Phys.Rev. D86 (2012) 081901, JHEP 1207 (2012) 094StrickerTaanilaVuorinen 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