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Pulling the straps of polygons · Around

2011

Pulling the straps of polygons

Gaiotto, Davide, Maldacena, Juan, Sever, Amit et al.

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Using the Operator Product Expansion for Wilson loops we derive a simple formula giving the discontinuities of the two loop result in terms of the one loop answer.

We also argue that the knowledge of these discontinuities should be enough to fix the full two loop answer, for a general number of sides.
We work this out explicitly for the case of the hexagon and rederive the known result.

Built on

Z. Bern, L. J. Dixon, V. A. Smirnov, “Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond,” Phys. Rev. D72
2005
Earlier work this paper cites.
L. F. Alday, J. M. Maldacena, “Gluon scattering amplitudes at strong coupling,” JHEP 0706
Original
2008
Earlier work this paper cites.
C. Anastasiou, A. Brandhuber, P. Heslop, V. V. Khoze, B. Spence and G. Travaglini, “Two-Loop Polygon Wilson Loops in N=4 SYM,” JHEP 0905
Original
2009
Earlier work this paper cites.

Similar

P. Heslop, V. V. Khoze, “Analytic Results for MHV Wilson Loops,” JHEP 1011
Original
2010
Cited alongside, same era.
V. Del Duca, C. Duhr, V. A. Smirnov, “An Analytic Result for the Two-Loop Hexagon Wilson Loop in N = 4 SYM,” JHEP 1003
Original
2010
Cited alongside, same era.
L. F. Alday, D. Gaiotto, J. Maldacena, A. Sever and P. Vieira, “An Operator Product Expansion for Polygonal null Wilson Loops,” [arXiv:1006.2788 [hep-th]]
Original
Cited in the paper.
D. Gaiotto, J. Maldacena, A. Sever and P. Vieira, “Bootstrapping Null Polygon Wilson Loops,” arXiv:1010.5009 [hep-th]
Original
Cited in the paper.
B. Basso, “Exciting the GKP string at any coupling,” [arXiv:1010.5237 [hep-th]]
Original
Cited in the paper.
A. B. Goncharov, private communication
Cited in the paper.
A. Hodges, “Eliminating spurious poles from gauge-theoretic amplitudes,” [arXiv:0905.1473 [hep-th]]
Original
Cited in the paper.
J. M. Drummond, J. M. Henn, J. Trnka, “New differential equations for on-shell loop integrals,” [arXiv:1010.3679 [hep-th]]
Original
Cited in the paper.

Then

A. B. Goncharov, M. Spradlin, C. Vergu and A. Volovich, “Classical Polylogarithms for Amplitudes and Wilson Loops,” Phys. Rev. Lett. 105
Original
2010
Later among the works it cites.
V. Del Duca, C. Duhr and V. A. Smirnov, “A Two-Loop Octagon Wilson Loop in N = 4 SYM,” JHEP 1009
Original
2010
Later among the works it cites.

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