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arXiv · 1405.3658

Heptagon Amplitude in the Multi-Regge Regime

J. Bartels·V. Schomerus·M. Sprenger
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Abstract

As we have shown in previous work, the high energy limit of scattering amplitudes in N=4 supersymmetric Yang-Mills theory corresponds to the infrared limit of the 1-dimensional quantum integrable system that solves minimal area problems in AdS5. This insight can be developed into a systematic algorithm to compute the strong coupling limit of amplitudes in the multi-Regge regime through the solution of auxiliary Bethe Ansatz equations. We apply this procedure to compute the scattering amplitude for n=7 external gluons in different multi-Regge regions at infinite 't Hooft coupling. Our formulas are remarkably consistent with the expected form of 7-gluon Regge cut contributions in perturbative gauge theory. A full description of the general algorithm and a derivation of results will be given in a forthcoming paper.

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J. Bartels, V. Schomerus, M. Sprenger. 2014-05-14. Heptagon Amplitude in the Multi-Regge Regime. https://doi.org/10.1007/jhep10(2014)067

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