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

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Equation of State and Viscosities

from a Gravity Dual (AdS/QCD)

B. Kämpfer

Helmholtz-Zentrum Dresden-Rossendorf

Technische Universität Dresden

Noronha-Hostler, Denicol, Noronha, Andrade, GrassiarXiv:1305.1981

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

a = 3.78, b = - 0.3

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

Einstein - Hilbert

metric ansatz (Riemann)

gauged radial coordinate scale

Gubser et al. PRL 101 (2008) 131601, PRD 78 (2008) 086007

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

lattice QCD, SU(3) gauge theory, Borsanyi et al., JHEP 1207 (2012) 056

consistent with Boyd et al., NPB 469 (1996) 419

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

bulk viscosity is not universal (as, e.g. shear viscosity/entropy)

sensitive dependence on pot. parameters

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

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

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

after precise adjustment of EoS at lattice data

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

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

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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