A Surprise in the Amplitude/Wilson Loop Duality

Abstract

One of the many remarkable features of MHV scattering amplitudes is their conjectured equality to lightlike polygon Wilson loops, which apparently holds at all orders in perturbation theory as well as non-perturbatively. This duality is usually expressed in terms of purely four-dimensional quantities obtained by appropriate subtraction of the IR and UV divergences from amplitudes and Wilson loops respectively. In this paper we demonstrate, by explicit calculation, the completely unanticipated fact that the equality continues to hold at two loops through order epsilon in dimensional regularization for both the four-particle amplitude and the (parity-even part of the) five-particle amplitude.

36 pages, 13 figures. v2: typos corrected, references added

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Cited by in corpus (8)

• The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
• Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops
• General properties of multiparton webs: proofs from combinatorics
• Cross-Order Integral Relations from Maximal Cuts
• Wilson loop remainder function for null polygons in the limit of self-crossing
• Hexagon remainder function in the limit of self-crossing up to three loops
• Loop lessons from Wilson loops in N=4 supersymmetric Yang-Mills theory
• Holonomies of gauge fields in twistor space 4: functional MHV rules and one-loop amplitudes