Hexagon Wilson loop = six-gluon MHV amplitude

Details Hexagon Wilson loop = six-gluon MHV amplitude Hexagon Wilson loop = six-gluon MHV amplitude

2008-03-10

arxiv.org/abs/0803.1466v3

Nucl.Phys.B815:142-173,2009

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 3 figures; v2: appendix added, minor corrections made, new references inserted

Scientific paper

10.1016/j.nuclphysb.2009.02.015

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.

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