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Comments on gluon scattering amplitudes via AdS/CFT

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Published 22 November 2007 Published under licence by IOP Publishing Ltd
, , Citation Luis F. Alday and Juan Maldacena JHEP11(2007)068 DOI 10.1088/1126-6708/2007/11/068

1126-6708/2007/11/068

Abstract

In this article we consider n gluon color ordered, planar amplitudes in Script N = 4 super Yang Mills at strong 't Hooft coupling. These amplitudes are approximated by classical surfaces in AdS5 space. We compute the value of the amplitude for a particular kinematic configuration for a large number of gluons and find that the result disagrees with a recent guess for the exact value of the amplitude. Our results are still compatible with a possible relation between amplitudes and Wilson loops. In addition, we also give a prescription for computing processes involving local operators and asymptotic states with a fixed number of gluons. As a byproduct, we also obtain a string theory prescription for computing the dual of the ordinary Wilson loop, TrPeiA, with no couplings to the scalars. We also evaluate the quark-antiquark potential at two loops.

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10.1088/1126-6708/2007/11/068