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Thermal phenomenological AdS/QCD 1. Thermal AdS/QCD 2. In-medium parameters 3. Chiral phase transition 4. Coupling constants Y. Kim (KIAS) with S.-J. Sin, Kwang Hyun Jo and H. K. Lee. (hep-ph/0609008)
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AdS/QCD (T=0)
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Schematic view of the holographic QCD zero Temperature: J. M. Maldacena (1997) finite Temperature: E. Witten (1998) AdS 5 bulk QCD AdS 5 BH bulk thermal QCD
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Models
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Z=0 Hard wall model at finite temperature
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Model-I (hard wall)
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Pion decay constant in AdS/QCD at zero temperature : * Boundary (QCD) side : * Bulk (AdS) side :
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Pion decay constant in AdS/QCD at finite temperature :
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The pion velocity 0, SS, 2002: pion only 1 (0.83-0.99), HKRS,2004:pion+rho-meson, 0.6 : RHIC
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Chiral/deconfinement transition in thermal AdS/QCD * Chiral symmetry restoration (CSR) through the v.e.v. of the scalar field: * CSR in the hard-wall mode:
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Quark number SUS as a chiral symmetry order parameter In an ideal QGPIn the hadron gas phase
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1. 2. =
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VSUS near T c pQCD, NJL : a=1.3 HLS/VM : a=0.7, pion + rho-meson a=1.3, pion + rho-meson + cQuark
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Full/Quenched Lattice QCD
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NJL model pQCD
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Vector susceptibility in AdS/QCD models
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VSUS in the hard wall model BC at IR:
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VSUS in the hard wall model BC at IR:
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VSUS in the soft wall model
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YK, S.-J. Sin, Kwang Hyun Jo and H. K. Lee, hep-ph/0609008
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The value of c is determined by the slope of Regge trajectory, and we obtain the critical temperature ~195 (158) MeV.
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Coupling constants Kwang Hyun Jo, et al, work in progress
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Summary We can calculate nonperturbatively the temperature dependent masses and coupling constant in AdS/QCD. vSUS from AdS/QCD is compatible with LQCD or EFTs of QCD or pQCD results. *AdS/QCD predicts a reasonable value of the critical temperature.
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