Holograpic Transport Coeffients Equation of State and Viscosities

Holograpic Transport Coeffients Equation of State and Viscosities *) (Ad. S/QCD) R. Yaresko, B. Kämpfer Helmholtz-Zentrum Dresden-Rossendorf and Technische Universität Dresden *) 1403. 3581, 1306. 0214 page Member of the Helmholtz Association Kampfer I I Instituteofof. Radiation. Physics I I www. hzdr. de B. B. Kampfer

from Mocsy, Sorensen 1008. 3381 HYDRO: Eo. S + viscosities , PHENIX, ALICE… Big Bang Inflation page 2 CMB COBE, WMAP, Planck BICEP 2 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de

viscosity is important for flow pattern and splashes water: page 3 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 4 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, Phys. Rev. C 88 (2013) 044916 page 5 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 6 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de

bulk viscosity orig. Huovinen, Int. J. Mod. Phys. E 22 (2013) 1330029 page 7 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 8 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 9 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de

Holography physics in D + N D quantum gravity QFT 1997: Maldacena, Gubser et al. Witten e. g. Ad. S/CFT: isometries `t Hooft coupling and Nc large page 10 classical gravity symmetry strongly coupled QFT Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de

r = const: Minkowski slices r infty: boundary : holographic coordinate (renorm. ) scale Z 1/r blackness funct. (simple zero horizon) page 11 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de

gravity dual of QCD is unknown recipe: breaking of conf. symmetry duality with non-conf. QFT bottom-up appr. : mimicing thermal QCD features/expectations by 1 scalar („dilaton“) T kinetic term + potential + by 1 gauge field n page 12 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 13 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 s(T) page 14 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de

Kiritsis et al. : - 2 scalar eqs. for X‘, Y‘ - 2 quadratures LT, G_5 s IR Kiritsis et al. : p(Tc) = 0 LT G_5 s UV LTc phi_H engineering the potential: Eo. S V open questions: - a unique (master) V - V vs. phase transition page 15 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 exp. functs. from supergravity pots. 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 16 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 17 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 -2 = (d log s / d log phi_H) Eling, Oz, JHEP 1106 (2011) 007 cf. Buchel et al. , 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 18 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 19 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 20 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de

Kiritsis et al. Model Tc from p = 0, beta function, confinement J. Knaute (2014) page 21 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de

Is the Potential Unique? boundary (UV) Tc 10 Tc nearly the same Eo. S & bulk viscosity also for Kititsis pot. (boundary at phi infty) page 22 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de

including quarks WB Collab. Phys. Lett. B 730 (2014) 99 A. Bazavov [hot. QCD], talk at QM 2014, Tuesday page 23 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de

two dilaton „potentials“: De. Wolfe , Gubser, Rosen, Phys. Rev. D 84 (2011) 126014, 83 (2011) 086005 models with CEP page 24 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 here: SU(3) YM page 25 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: Cremonini, Gursoy, Szepietowski, JHEP 08 (2012) 167 De. Wolfe, Gubser, Rosen, PRD 83 (2011) 086005, PRD 84 (2011) 126014 and all the other transport coefficients page 26 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 27 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 28 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 29 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 30 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de

F. Wunderlich quark-meson model mfa with lin. fluct. page 31 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de

isentropes lin. fluct. 50 Me. V photons lin. fluct. page 32 Member of the Helmholtz Association B. Kampfer I Institute of Radiation Physics I www. hzdr. de