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arxiv: 1608.08116 · v2 · pith:G3TWI2SFnew · submitted 2016-08-29 · ✦ hep-th

Resumming the POPE at One Loop

classification ✦ hep-th
keywords loopseriesexcitationswilsonamplitudecouplingdemonstratedual
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The Pentagon Operator Product Expansion represents polygonal Wilson loops in planar $\mathcal{N}=4$ super Yang-Mills in terms of a series of flux tube excitations for finite coupling. We demonstrate how to re-sum this series at the one loop level for the hexagonal Wilson loop dual to the six-point MHV amplitude. By summing over a series of effective excitations we find expressions which integrate to logarithms and polylogarithms, reproducing the known one-loop result.

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