Eikonal Approximation in AdS/CFT: Conformal Partial Waves and Finite N Four-Point Functions

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dc.creatorCornalba, Lorenzo
dc.creatorCosta, Miguel S.
dc.creatorPenedones, Joao
dc.creatorSchiappa, Ricardo
dc.date2006-11-10
dc.date.accessioned2026-07-07T11:23:05Z
dc.date.available2026-07-07T11:23:05Z
dc.descriptionWe introduce the impact-parameter representation for conformal field theory correlators of the form A ~ < O_1 O_2 O_1 O_2 >. This representation is appropriate in the eikonal kinematical regime, and approximates the conformal partial-wave decomposition in the limit of large spin and dimension of the exchanged primary. Using recent results on the two-point function < O_1 O_1 >_{shock} in the presence of a shock wave in Anti-de Sitter, and its relation to the discontinuity of the four-point amplitude A across a kinematical branch-cut, we find the high spin and dimension conformal partial- wave decomposition of all tree-level Anti-de Sitter Witten diagrams. We show that, as in flat space, the eikonal kinematical regime is dominated by the T-channel exchange of the massless particle with highest spin (graviton dominance). We also compute the anomalous dimensions of the high-spin O_1 O_2 composites. Finally, we conjecture a formula re-summing crossed-ladder Witten diagrams to all orders in the gravitational coupling.
dc.descriptionJHEP3.cls, 27 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0611123
dc.identifierhttp://arxiv.org/abs/hep-th/0611123
dc.identifierNucl.Phys.B767:327-351,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.01.007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194780
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleEikonal Approximation in AdS/CFT: Conformal Partial Waves and Finite N Four-Point Functions
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