2005/01/06 by Horatiu Nastase, Nastase, Horatiu
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0501039
19 pages, latex, references added, typos corrected
arxiv created 2005/02/16 · arxiv updated 2009/12/01
In previous treatments, high energy QCD was analyzed using AdS-CFT a la Polchinski-Strassler. Black hole production in AdS was responsible for power law behaviour of the total QCD cross section. Using the simplest self-consistent gravity dual assumption, that cut-off AdS5 is supplemented by a 5d space X5 of effective ``average'' size much larger than the scale of AdS5, we find an energy behaviour just before the saturation of the Froissart bound that is σtot ∼ s1/n= s1/11≃ s0.0909. It comes from the solution of the Laplacean on AdSd+1× X_d behaving like 1/rn=1/r^2(d-1)+d= 1/r11. We argue that this should be present in real QCD as well, as string corrections to the dual scattering are small, and should onset at about Nc2 M1, glueball∼ 10 GeV. Experimentally, one found the ``soft Pomeron'' behaviour, σtot∼ s0.093(2), that onsets at about 9 GeV, that was later argued to be replaced by the unitarized Froissart + reaction-dependent constant behaviour. We argue that the soft Pomeron and the dual behaviour represent the same physics, creation of an effective field theory ``soliton''-like structure (=black hole), that then decays, and so they have to be taken seriously. We thus have an experimental prediction of string theory, literally counting the extra dimensions.