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High-energy bounds on total cross sections in N=4 SYM from AdS/CFT

2010/09/15 by Matteo Giordano, Giordano, Matteo
Medicine · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum Chromodynamics and Particle Interactions #Soft tissue tumor case studies #hep-ph

paper · pdf · doi:10.48550/arxiv.1009.2971

8 pages, 3 figures. To appear in the proceedings of the "Low x 2010" workshop, Kavala (Greece), June 23-27 2010

arxiv created 2010/09/15 · openalex publication_date 2010/09/15 · arxiv updated 2010/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the AdS/CFT correspondence, we study the high-energy behavior of scattering amplitudes in N=4 SYM gauge theory for dipole-dipole soft elastic scattering, described in the Wilson-loop correlator formalism. The amplitudes are evaluated in the dual picture, at large impact-parameter, by considering the exchange of supergravity fields between certain minimal surfaces in Euclidean AdS5, and performing the appropriate analytic continuation to Minkowskian signature. The purely elastic behavior at large impact-parameter is then combined with the unitarity constraint in the central region, in order to derive an absolute bound on the high-energy behavior of the dipole-dipole total cross section. The possibility to obtain a stronger bound by assuming a larger domain of validity for the AdS/CFT result is also discussed.

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