The Origin of the Six-Gluon Amplitude in Planar $\mathcal{N}=4$ SYM
Abstract
We study the maximally-helicity-violating (MHV) six-gluon scattering amplitude in planar super-Yang-Mills theory at finite coupling when all three cross ratios are small. It exhibits a double logarithmic scaling in the cross ratios, controlled by a handful of "anomalous dimensions" that are functions of the coupling constant alone. Inspired by known seven-loop results at weak coupling and the integrability-based pentagon OPE, we present conjectures for the all-order resummation of these anomalous dimensions. At strong coupling, our predictions agree perfectly with the string theory analysis. Intriguingly, the simplest of these anomalous dimensions coincides with one describing the light-like limit of the octagon, namely the four-point function of large-charge BPS operators.
Keywords
Cite
@article{arxiv.2001.05460,
title = {The Origin of the Six-Gluon Amplitude in Planar $\mathcal{N}=4$ SYM},
author = {Benjamin Basso and Lance J. Dixon and Georgios Papathanasiou},
journal= {arXiv preprint arXiv:2001.05460},
year = {2020}
}
Comments
10 pages, 3 figures. v2: one section moved to appendix, other clarifying remarks added, minor typo's fixed