Eikonal approximation in AdS/CFT: Conformal partial waves and finite N four-point functions

• Type: Article in International Scientific Journal
• Date: 2007

Authors

Lorenzo Cornalba (Author) Other; Miguel S Costa (Author) FCUP; Joao Penedones (Author) FCUP; Ricardo Schiappa (Author) Other

Journal

Title: Nuclear Physics B

Vol. 767

Pages: 327-351

ISSN: 0550-3213

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 119 Citations

Scopus - 126 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-004-ANC

DOI: 10.1016/j.nuclphysb.2007.01.007

Abstract (EN): We introduce the impact parameter representation for conformal field theory correlators of the form A similar to (O1O2O1O2). 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 (O1O1)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 O1O2 composites. Finally, we conjecture a formula re-summing crossed-ladder Witten diagrams to all orders in the gravitational coupling.

Language: English

Type (Professor's evaluation): Scientific