Implications of multi-Regge limits for the Bern-Dixon-Smirnov conjecture

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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48 pages, 8 figures; Noted added commenting on related work which appeared after the initial posting. References and clarifica

Scientific paper

10.1016/j.nuclphysb.2009.02.009

Planar ${\cal N} =4$ super Yang-Mills SU(N) theory is expected to exhibit stringy behavior, anticipated by the 't Hooft genus expansion and the $AdS/CFT$ correspondence. We examine the Bern-Dixon-Smirnov (BDS) conjecture for $n$-gluon amplitudes in the context of single-Regge and multi-Regge limits and show that these amplitudes have the expected Regge form in the Euclidean region.

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