Hexagon Wilson loop = six-gluon MHV amplitude
High Energy Physics - Theory
2009-04-17 v3
Abstract
We compare the two-loop corrections to the finite part of the light-like hexagon Wilson loop with the recent numerical results for the finite part of the MHV six-gluon amplitude in N=4 SYM theory by Bern, Dixon, Kosower, Roiban, Spradlin, Vergu and Volovich (arXiv:0803.1465 [hep-th]) and demonstrate that they coincide within the error bars and, at the same time, they differ from the BDS ansatz by a non-trivial function of (dual) conformal kinematical invariants. This provides strong evidence that the Wilson loop/scattering amplitude duality holds in planar N=4 SYM theory to all loops for an arbitrary number of external particles.
Keywords
Cite
@article{arxiv.0803.1466,
title = {Hexagon Wilson loop = six-gluon MHV amplitude},
author = {J. M. Drummond and J. Henn and G. P. Korchemsky and E. Sokatchev},
journal= {arXiv preprint arXiv:0803.1466},
year = {2009}
}
Comments
34 pages, 3 figures; v2: appendix added, minor corrections made, new references inserted