The soft Pomeron from AdS-CFT

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dc.creatorNastase, Horatiu
dc.date2005-01-06
dc.date2005-02-16
dc.date.accessioned2026-07-07T04:17:55Z
dc.date.available2026-07-07T04:17:55Z
dc.descriptionIn 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 $AdS_5$ is supplemented by a 5d space $X_5$ of effective ``average'' size much larger than the scale of $AdS_5$, we find an energy behaviour just before the saturation of the Froissart bound that is $σ_{tot} \sim s^{1/n}= s^{1/11}\simeq s^{0.0909}$. It comes from the solution of the Laplacean on $AdS_{d+1}\times X_{\bar{d}}$ behaving like $1/r^n=1/r^{2(d-1)+\bar{d}}= 1/r^{11}$. 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 $N_c^2 M_{1, glueball}\sim 10 GeV$. Experimentally, one found the ``soft Pomeron'' behaviour, $σ_{tot}\sim s^{0.093(2)}$, 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.
dc.description19 pages, latex, references added, typos corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0501039
dc.identifierhttp://arxiv.org/abs/hep-th/0501039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/52965
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe soft Pomeron from AdS-CFT
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