Eikonal Approximation in AdS/CFT: Resumming the Gravitational Loop Expansion

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dc.creatorCornalba, Lorenzo
dc.creatorCosta, Miguel S.
dc.creatorPenedones, Joao
dc.date2007-07-01
dc.date2007-12-06
dc.date.accessioned2026-07-07T13:04:28Z
dc.date.available2026-07-07T13:04:28Z
dc.descriptionWe derive an eikonal approximation to high energy interactions in Anti-de Sitter spacetime, by generalizing a position space derivation of the eikonal amplitude in flat space. We are able to resum, in terms of a generalized phase shift, ladder and cross ladder graphs associated to the exchange of a spin j field, to all orders in the coupling constant. Using the AdS/CFT correspondence, the resulting amplitude determines the behavior of the dual conformal field theory four point function < O_1 O_2 O_1 O_2 > for small values of the cross ratios, in a Lorentzian regime. Finally we show that the phase shift is dominated by graviton exchange and computes, in the dual CFT, the anomalous dimension of the double trace primary operators O_1 \partial ... \partial O_2 of large dimension and spin, corresponding to the relative motion of the two interacting particles. The results are valid at strong t'Hooft coupling and are exact in the 1/N expansion.
dc.description38 pages, 10 figures; reference added in v2
dc.identifierhttps://arxiv.org/abs/0707.0120
dc.identifierhttp://arxiv.org/abs/0707.0120
dc.identifierJHEP 0709:037,2007
dc.identifierdoi:10.1088/1126-6708/2007/08/019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227178
dc.subjectHigh Energy Physics - Theory
dc.titleEikonal Approximation in AdS/CFT: Resumming the Gravitational Loop Expansion
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