Prof. Peter Mustermann I Institute of xxxxx I www.hzdr.deMember of the Helmholtz Associationpage 1
B. Kampfer I Institute of Radiation Physics I www.hzdr.de
Equation of State and Viscosities from a Gravity Dual (AdS/QCD)
B. Kämpfer
Helmholtz-Zentrum Dresden-Rossendorf Technische Universität Dresden
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 2
water:
viscosity is importantfor flow pattern and splashes
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 3
Bulk Viscosity Could Matter
Dusling, Schafer, PRC 85 (2012) 044909
pQCD (leading log):
48
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 4
Bulk Viscosity Matters
Noronha-Hostler, Denicol, Noronha, Andrade, Grassi arXiv:1305.1981
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 5
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
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 6
Bluhm et al., PLB 709 (2012) 77, PRC 84 (2011) 025201
Compilation of Lattice Results & QPM
(1) EoS
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 7
a = 3.78, b = - 0.3
(2) relaxation time
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 8
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
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 9
gravity setup
metric ansatz (Riemann)
Einstein - Hilbert
gauged radial coordinate scale
Gubser et al. PRL 101 (2008) 131601, PRD 78 (2008) 086007
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 10
U = V / (3 V‘)
EoS
0
AdSBekenstein
Hawking
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 11
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
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 12
lattice QCD, SU(3) gauge theory, Borsanyi et al., JHEP 1207 (2012) 056 consistent with Boyd et al., NPB 469 (1996) 419
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 13
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
different formulation:Eling, Oz, JHEP 1106 (2011) 007cf. Buchel, Gursoy, Kiritsis, JHEP 1109 (2011) 095
0
AdS
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 14
benefit: w/o further input spectral functions transport coefficients
as in QPM (Bluhm et al.)
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 15
bulk viscosity is not universal (as, e.g. shear viscosity/entropy) sensitive dependence on pot. parameters
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 16
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
including quarks: what is the right EoS?
if would be the same same V
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 17
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
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 18
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
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 19
Summary
after precise adjustment of EoS at lattice data
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 20
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
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 21
Bluhm, BK, Redlich, PLB 709 (2012) 77 PRC 84 (2011) 025201 NPA 830 (2009) 737
Retro: Common Work with K. Redlich
Hentschel, BK, Pavlenko, Redlich, Soff, Z. Phys. C75 (1997) 333
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 22
B. Kampfer I Institute of Radiation Physics I www.hzdr.deMember of the Helmholtz Associationpage 23
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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