English

Comments on gluon scattering amplitudes via AdS/CFT

High Energy Physics - Theory 2010-04-06 v3

Abstract

In this article we consider n gluon color ordered, planar amplitudes in N=4 super Yang Mills at strong 't Hooft coupling. These amplitudes are approximated by classical surfaces in AdS_5 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, Tr P exp[ i\oint A ], with no couplings to the scalars. We also evaluate the quark-antiquark potential at two loops.

Keywords

Cite

@article{arxiv.0710.1060,
  title  = {Comments on gluon scattering amplitudes via AdS/CFT},
  author = {Luis F. Alday and Juan Maldacena},
  journal= {arXiv preprint arXiv:0710.1060},
  year   = {2010}
}

Comments

27 pages, 9 figures,v3:minor corrections

R2 v1 2026-06-21T09:26:54.053Z