English

Resumming the POPE at One Loop

High Energy Physics - Theory 2016-09-27 v2

Abstract

The Pentagon Operator Product Expansion represents polygonal Wilson loops in planar N=4\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.

Keywords

Cite

@article{arxiv.1608.08116,
  title  = {Resumming the POPE at One Loop},
  author = {Ho Tat Lam and Matt von Hippel},
  journal= {arXiv preprint arXiv:1608.08116},
  year   = {2016}
}

Comments

11 pages, 1 figure; v2, references added

R2 v1 2026-06-22T15:33:57.896Z