Equation of State and Viscosities from a Gravity
- Slides: 23
Equation of State and Viscosities from a Gravity Dual (Ad. S/QCD) B. Kämpfer Helmholtz-Zentrum Dresden-Rossendorf Technische Universität Dresden page 1 Member of the Helmholtz Association B. Kampfer I Institute of. I Radiation www. hzdr. de Prof. Peter Mustermann Institute of. Physics xxxxx I I www. hzdr. de
viscosity is important for flow pattern and splashes water: page 2 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
Bulk Viscosity Could Matter Dusling, Schafer, PRC 85 (2012) 044909 p. QCD (leading log): 48 page 3 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
Bulk Viscosity Matters Noronha-Hostler, Denicol, Noronha, Andrade, Grassi ar. Xiv: 1305. 1981 page 4 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
Bulk Viscosity Can Matter Basar, Kharzeev, Skokov, PRL 109 (2012) 202303 Tuchin, ar. Xiv: 1301. 0099 coupling of conformal anomaly to photons solution of photon-v 2 puzzle? data: PHENIX PRL 109 (2012) 122302 page 5 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
Compilation of Lattice Results & QPM Bluhm et al. , PLB 709 (2012) 77, PRC 84 (2011) 025201 (1) Eo. S page 6 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
(2) relaxation time a = 3. 78, b = - 0. 3 page 7 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
Ad. S/QCD 5 D Riemann: x, z 4 D Minkowski: x semi-class. gravity strongly coupled gauge theo. X(x, z) gauge-inv. Operators (x) asymp. Ad. S black brane: T (Hawking) s (Bekenstein) semi-class. functional correlation functions breaking conf. sym. by mass scale, e. g. dilation + potential page 8 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
gravity setup Einstein - Hilbert metric ansatz (Riemann) gauged radial coordinate scale Gubser et al. PRL 101 (2008) 131601, PRD 78 (2008) 086007 page 9 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
U = V / (3 V‘) Ad. S Bekenstein 0 Hawking Eo. S page 10 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
bottom-up approach: Eo. S (lattice QCD) dilaton potential ansatz: Gubser type pot. + polynom. distortions T/Tc vs. TL: from T(s/T^3) min. or turning G 5: from s/T^3 page 11 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
lattice QCD, SU(3) gauge theory, Borsanyi et al. , JHEP 1207 (2012) 056 consistent with Boyd et al. , NPB 469 (1996) 419 page 12 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
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 Ad. S 0 shear viscosity is independent of V KSS, JHEP 0310 (2003) 064 Policastro, Son, Starinets, PRL 87 (2001) 081601 page 13 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
benefit: w/o further input spectral functions transport coefficients as in QPM (Bluhm et al. ) page 14 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
bulk viscosity is not universal (as, e. g. shear viscosity/entropy) sensitive dependence on pot. parameters page 15 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
including quarks: what is the right Eo. S? R. R. Caldwell, S. S. Gubser, DOI: 10. 1103/Phys. Rev. D. 87. 063523 Bazavov et al. , PRD 80 (2009) 014504 Borsanyi et al. , JHEP 1011 (2010) 077 u, d, s, g if page 16 would be the same V Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
meson in vector channel Abelian field strength of V soft-wall model: Ad. S/QCD, soft-wall model, mass shift Cui. Takeuchi, Wu, 1112. 5923 (T in Ge. V) JHEP 1204 (2012) 144 page 17 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
Schwarzschild BH Reissner-Nordstrom BH: chem. pot. Ad. S/QCD, soft-wall model, Colangelo, Giannuzzi, Nicotri, 1201. 1564, JHEP 1205 (2012) 076 mass shift + broadening vision: beyond soft-wall ansatz dilaton consistent with Eo. S problem: missing unique QCD results with quarks page 18 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
Summary after precise adjustment of Eo. S at lattice data page 19 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
Outlook spectral functions & medium on equal footing beyond soft-wall models temperature dependence of eta/s beyond Einstein-Hilbert action mu > 0 CEP: page 20 Cremonini, Gursoy, Szepietowski, JHEP 08 (2012) 167 De. Wolfe, Gubser, Rosen, PRD 83 (2011) 086005, PRD 84 (2011) 126014 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
Retro: Common Work with K. Redlich Hentschel, BK, Pavlenko, Redlich, Soff, Z. Phys. C 75 (1997) 333 Bluhm, BK, Redlich, PLB 709 (2012) 77 PRC 84 (2011) 025201 NPA 830 (2009) 737 page 21 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
page 22 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
Ad. S/CFT Emissivities Baier, Stricker, Taanila, Vuorinen, Phys. Rev. D 86 (2012) 081901, JHEP 1207 (2012) 094 at T > 200 Me. V, one obtains thermalization time scale ~ 0. 1 fm/c, which one might compare with the typical production time of dileptons with mass/energy larger than 5 Ge. V, 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 page 23 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de
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