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Holograpic Transport Coeffients Equation of State and Viscosities *)PowerPoint Presentation

Holograpic Transport Coeffients Equation of State and Viscosities *)

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Holograpic Transport Coeffients

Equation of State and Viscosities *)

(AdS/QCD)

R. Yaresko, B. Kämpfer

Helmholtz-Zentrum Dresden-Rossendorf

and

Technische Universität Dresden

*) 1403.3581, 1306.0214

Mocsy, Sorensen

1008.3381

HYDRO:

EoS +

viscosities

, PHENIX, ALICE…

Big Bang

Inflation CMB COBE, WMAP, Planck

BICEP2

Noronha-Hostler, Denicol, Noronha, Andrade, Grassi, Phys.Rev. C88 (2013) 044916

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

physics in D + N D

quantum gravity QFT

e.g. AdS/CFT:

1997:

Maldacena,

Gubser et al.

Witten

isometries symmetry

classical gravity strongly coupled QFT

`t Hooft coupling

and Nc large

r infty: boundary

boundary

: holographic coordinate

(renorm.) scale

Z 1/r

blackness funct.

(simple zero horizon)

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“)

kinetic term + potential

+ by 1 gauge field

T

n

Einstein - Hilbert

metric ansatz (Riemann)

gauged radial coordinate scale

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

Kiritsis et al.: - 2 scalar eqs. for X‘, Y‘

- 2 quadratures LT, G_5 s

UV IR

Kiritsis et al.:

p(Tc) = 0

G_5 s

LT

LTc

phi_H

engineering the potential: EoS V

open questions: - a unique (master) V

- V vs. phase transition

bottom-up approach: EoS (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

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

bulk viscosity (2012) 056

Gubser et al., JHEP 0808 (2008) 085

-2

Eling, Oz, JHEP 1106 (2011) 007

cf. Buchel et al., JHEP 1109 (2011) 095

= (d log s / d log phi_H)

AdS

0

shear viscosity is independent of V

KSS, JHEP 0310 (2003) 064

Policastro, Son, Starinets, PRL 87 (2001) 081601

benefit: w/o further input (2012) 056 spectral functions

transport coefficients

as in QPM (Bluhm et al.)

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

sensitive dependence on pot. parameters

Is the Potential Unique? viscosity/entropy)

boundary (UV)

Tc

10 Tc

nearly the same EoS & bulk viscosity

also for Kititsis pot. (boundary at phi infty)

including quarks viscosity/entropy)

WB Collab.

Phys.Lett. B730 (2014) 99

A. Bazavov [hotQCD],

talk at QM2014, Tuesday

two dilaton „potentials“: viscosity/entropy)

DeWolfe , Gubser, Rosen, Phys.Rev. D84 (2011) 126014, 83 (2011) 086005

models with CEP

Outlook viscosity/entropy)

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

and all the other transport coefficients

meson in vector channel viscosity/entropy)

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 viscosity/entropy) 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

AdS/QCD viscosity/entropy)

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

AdS/CFT Emissivities viscosity/entropy)

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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