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    Gauge/String-Gravity Duality and Froissart Bound

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    The gauge/string-gravity duality correspondence opened renewed hope and possibility to address some of the fundamental and non-perturbative QCD problems in particle physics, such as hadron spectrum and Regge behavior of the scattering amplitude at high energies. One of the most fundamental and long-standing problem is the high energy behavior of total cross-sections. According to a series of exhaustive tests by the COMPETE group, (1). total cross-sections have a universal Heisenberg behavior in energy corresponding to the maximal energy behavior allowed by the Froissart bound, i.e., A+Bln2(s/s0)A + B ln^2 (s/s_0) with B∼0.32mbB \sim 0.32 mb and s0∼34.41GeV2s_0 \sim 34.41 GeV^2 for all reactions, and (2). the factorization relation among σpp,even,σγp,andσγγ\sigma_{pp, even}, \sigma_{\gamma p}, and \sigma_{\gamma \gamma} is well satisfied by experiments. I discuss the recent interesting application of the gauge/string-gravity duality of AdS/CFTAdS/CFT correspondence with a deformed background metric so as to break the conformal symmetry that can lead to the Heisenberg behavior of rising total cross-sections, and present some preliminary results on the high energy QCD from Planckian scattering in AdSAdS and black-hole production.Comment: 10 pages, Presented to the Coral Gables Conference 2003, Launching of BelleE\'poque in High Energy Physics and Cosmology, 17 - 21 December 2003, Fort Lauderdale, Florid
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