One-loop derivation of the Wilson polygon - MHV amplitude duality

Details One-loop derivation of the Wilson polygon - MHV amplitude duality One-loop derivation of the Wilson polygon - MHV amplitude duality

2009-04-02

arxiv.org/abs/0904.0381v1

J.Phys.A42:355214,2009

Physics

High Energy Physics

High Energy Physics - Theory

29 pages

Scientific paper

10.1088/1751-8113/42/35/355214

We discuss the origin of the Wilson polygon - MHV amplitude duality at the perturbative level. It is shown that the duality for the MHV amplitudes at one-loop level can be proven upon the peculiar change of variables in Feynman parametrization and the use of the relation between Feynman integrals at the different space-time dimensions. Some generalization of the duality which implies the insertion of the particular vertex operator at the Wilson triangle is found for the 3-point function. We discuss analytical structure of Wilson loop diagrams and present the corresponding Landau equations. The geometrical interpretation of the loop diagram in terms of the hyperbolic geometry is discussed.

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