The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude

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dc.creatorDrummond, J. M.
dc.creatorHenn, J.
dc.creatorKorchemsky, G. P.
dc.creatorSokatchev, E.
dc.date2007-12-26
dc.date2008-02-10
dc.date.accessioned2026-07-07T11:54:51Z
dc.date.available2026-07-07T11:54:51Z
dc.descriptionAs a test of the gluon scattering amplitude/Wilson loop duality, we evaluate the hexagonal light-like Wilson loop at two loops in N=4 super Yang-Mills theory. We compare its finite part to the Bern-Dixon-Smirnov (BDS) conjecture for the finite part of the six-gluon amplitude. We find that the two expressions have the same behavior in the collinear limit, but they differ by a non-trivial function of the three (dual) conformally invariant variables. This implies that either the BDS conjecture or the gluon amplitude/Wilson loop duality fails for the six-gluon amplitude, starting from two loops. Our results are in qualitative agreement with the analysis of Alday and Maldacena of scattering amplitudes with infinitely many external gluons.
dc.description8 pages, 3 figures; typos corrected
dc.identifierhttps://arxiv.org/abs/0712.4138
dc.identifierhttp://arxiv.org/abs/0712.4138
dc.identifierPhys.Lett.B662:456-460,2008
dc.identifierdoi:10.1016/j.physletb.2008.03.032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205056
dc.subjectHigh Energy Physics - Theory
dc.titleThe hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
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