Mandelstam cuts and light-like Wilson loops in N=4 SUSY

Details Mandelstam cuts and light-like Wilson loops in N=4 SUSY Mandelstam cuts and light-like Wilson loops in N=4 SUSY

2010-08-05

arxiv.org/abs/1008.1016v1

Phys.Rev.D83:045020,2011

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 4 figures

Scientific paper

10.1103/PhysRevD.83.045020

We perform an analytic continuation of the two-loop remainder function for the six-point planar MHV amplitude in N=4 SUSY, found by Goncharov, Spradlin, Vergu and Volovich from the light-like Wilson loop representation. The remainder function is continued into a physical region, where all but two energy invariants are negative. It turns out to be pure imaginary in the multi-Regge kinematics, which is in an agreement with the predictions based on the Steinmann relations for the Regge poles and Mandelstam cut contributions. The leading term reproduces correctly the expression calculated by one of the authors in the BFKL approach, while the subleading term presents a result, that was not yet found with the use of the unitarity techniques. This supports the applicability of the Wilson loop approach to the planar MHV amplitudes in N=4 SUSY.

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