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Photo-emission in hQCD and LHC Sang-Jin Sin (Hanyang univ.) @LHC 2010/08/11
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Two difficulties in Nuclear Physics * coupling is large * many particle system
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s-t duality of string theory S-duality in field theory AdS/CFT Master field in large N. For the strong coupling problem, the Ans. is the Duality
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Consequences of duality Gluon dynamics is replaced by ads gravity. Correlation function in 4d can be calculated by the classical eq. in 5d ads bulk. Transports (more later), Notion of Instability (SC,CSB)
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Relativistic Heavy Ion Collider (Brookhaven N.L) Au-Au collision E~200 GeV/nucleon Seek quark-gluon plasma(QGP) 2010.6.16@cquest4
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Early interests: 4 puzzles Perfect fluid : ( 0806.4460, 0901.0610 ) Jet quenching ( hep-th/0607123 ) elliptic flow ( hep-th/0610113 ) * Early thermalization ( hep-th/0511199 ) These are puzzles from the aspect of AF but clues to use AdS/CFT. phenomena-(my contributions)
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Perfect fluidity While perturbative evaluation ~1/g^4 Exp: ads/cft : Universal value
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Jet-Quenching Energy Loss Problem.
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Strong Interaction Liquidity Even at 200GeV/nucleon, Asymptotic Freedom is not working in the fireball the particle creation: E as Mass not as Kinetic E.
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What about LHC? Is the medium still strongly interacting ? If mass prod. Mechanism is too efficient, increasing initial energy does not help to increase the For Hadron sprectrum, we expect it is the same as the RHIC since they reprent the moment of the freezout.
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Photon & Lepton On the other hand photons and leptons can expose the early stage of the fireball. Photoemission spectral functions are interesting. Strong v.s Weak Analogy: CMBR curve in cosmology
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In this talk Dense matter effect in Photoemission rate based on the work with my student KwangHyun Jo Corresponding work without density effect was done by Huot et.al (hepth/0607237) and by Parnachev(hepth/0610247) for probe brane approach. To see the significance of density effect, we discuss the hydrodynamics first.
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Density effect in hqcd Finite temperature and density charged black hole
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Bulk filling branes and AdS R-N black hole [arXiv:0707.2719 (sjs)] Solution to the eq. of M:
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Thermodynamics temperature, entropy, energy pressure, charge density and chemical pot.
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Perturbations around RN perturbed Eintein eq. X.GeX.Ge, Y.Matsuo, F.Shu, SJS,Takuya Tsukioka, arXiv:0806.4460Y.MatsuoF.ShuTakuya Tsukioka
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perturbed Maxwell eq. Gauge choice and Fourier mode
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Classification of modes(for graviton)
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Vector type pert and mode mixing.
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Infalling BC at horizon Causal Gr.F perturbative solution near boundary Hydrodynamic
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Correlation functions in hydro limit Diffusion constant:
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Remark In the absence of charge, particle current is NOT diffusive (a=0 or T=0) while heat current is !
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conductivity charge susceptibility
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Einstein Relation charge susceptibility Einstein Relation holds exactly
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Summary of hydro Result: Density causes Mode Mixing, which establishes Fick’ law for the particle currents.
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Photoemission rate
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Photo prod. in weak g Sum of 2-2, Bremstrahlung,pair annihilation LPM effect yet to be corrected
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Lepton production
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SYM v.s QCD in weak g Huot et.al hepth/0607237
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Zero density result Huot et.al hepth/0607237
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Finite density K.h.Jo+ SJS
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Some details for vector mode
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In falling BC at horizon: D=0,C=1
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More detail with
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Spectral functions
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Density effect in spectral function The hydro peak is absent if density is 0.
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Discussions LPM included? Yet to be discussed
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Fermi surface ?
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Conclusion String theory may be useful for the New experiment. So AdS/LHC ? as well as Ads/QCD, & ads/CDM.
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