Resumming the POPE at One Loop

Ho Tat Lam; Matt von Hippel

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arXiv · 1608.08116

Resumming the POPE at One Loop

Ho Tat Lam·Matt von Hippel

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Abstract

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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Ho Tat Lam, Matt von Hippel. 2016-09-26. Resumming the POPE at One Loop. https://arxiv.org/abs/1608.08116

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