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B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 1
B. Kampfer I Institute of Radiation Physics I www.hzdr.de
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
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B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 2
Big Bang
Inflation CMB COBE, WMAP, Planck BICEP2
, PHENIX, ALICE…
fromMocsy, Sorensen1008.3381
HYDRO:EoS +viscosities
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B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 3
water:
viscosity is importantfor flow pattern and splashes
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B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 4
Bulk Viscosity Could Matter
Dusling, Schafer, PRC 85 (2012) 044909
pQCD (leading log):
48
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B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 5
Bulk Viscosity Matters
Noronha-Hostler, Denicol, Noronha, Andrade, Grassi, Phys.Rev. C88 (2013) 044916
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B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 6
Bulk Viscosity Can Matter
coupling of conformal anomaly to photons
Basar, Kharzeev, Skokov, PRL 109 (2012) 202303
solution of photon-v2 puzzle?
data: PHENIXPRL 109 (2012) 122302
Tuchin, arXiv:1301.0099
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B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 7
orig.Huovinen, Int.J.Mod.Phys. E22 (2013) 1330029
bulk viscosity
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B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 8
Bluhm et al., PLB 709 (2012) 77, PRC 84 (2011) 025201
Compilation of Lattice Results & QPM
(1) EoS
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a = 3.78, b = - 0.3
(2) relaxation time
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B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 10
Holography
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
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boundary
blackness funct. (simple zero horizon)
r = const: Minkowski slicesr infty: boundary
: holographic coordinate (renorm.) scale Z 1/r
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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
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B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 13
gravity setup
metric ansatz (Riemann)
Einstein - Hilbert
gauged radial coordinate scale
Gubser et al. PRL 101 (2008) 131601, PRD 78 (2008) 086007
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U = V / (3 V‘)
EoS s(T)
0
AdSBekenstein
Hawking
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B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 15
Kiritsis et al.: - 2 scalar eqs. for X‘, Y‘ - 2 quadratures LT, G_5 s
phi_H
UV IR
G_5
s
LTLTc
Kiritsis et al.:p(Tc) = 0
open questions: - a unique (master) V - V vs. phase transition
engineering the potential: EoS V
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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
exp. functs. from supergravity pots.
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B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 17
lattice QCD, SU(3) gauge theory, Borsanyi et al., JHEP 1207 (2012) 056 consistent with Boyd et al., NPB 469 (1996) 419
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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
Eling, Oz, JHEP 1106 (2011) 007cf. Buchel et al., JHEP 1109 (2011) 095
0
AdS
= (d log s / d log phi_H)-2
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benefit: w/o further input spectral functions transport coefficients
as in QPM (Bluhm et al.)
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bulk viscosity is not universal (as, e.g. shear viscosity/entropy) sensitive dependence on pot. parameters
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Kiritsis et al. Model
Tc from p = 0, beta function, confinement
J. Knaute (2014)
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Is the Potential Unique?
10 Tc Tcboundary (UV)
nearly the same EoS & bulk viscosity
also for Kititsis pot. (boundary at phi infty)
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including quarks
WB Collab.Phys.Lett. B730 (2014) 99
A. Bazavov [hotQCD], talk at QM2014, Tuesday
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DeWolfe , Gubser, Rosen, Phys.Rev. D84 (2011) 126014, 83 (2011) 086005
two dilaton „potentials“:
models with CEP
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Summary
after precise adjustment of EoS at lattice data here: SU(3) YM
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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
and all the other transport coefficients
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B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 27
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 Vsoft-wall model:
mass shift
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B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 28
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 EoSproblem: missing unique QCD results with quarks
mass shift + broadening
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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
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AdS/CFT Emissivities
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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with lin. fluct.
quark-mesonmodel
mfa
F. Wunderlich
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lin. fluct.
50 MeVphotons
isentropes
lin. fluct.