Gluing Ladders into Fishnets
High Energy Physics - Theory
2017-09-12 v2
Abstract
We use integrability at weak coupling to compute fishnet diagrams for four-point correlation functions in planar theory. The results are always multi-linear combinations of ladder integrals, which are in turn built out of classical polylogarithms. The Steinmann relations provide a powerful constraint on such linear combinations, leading to a natural conjecture for any fishnet diagram as the determinant of a matrix of ladder integrals.
Keywords
Cite
@article{arxiv.1705.03545,
title = {Gluing Ladders into Fishnets},
author = {Benjamin Basso and Lance J. Dixon},
journal= {arXiv preprint arXiv:1705.03545},
year = {2017}
}
Comments
6 pages, 4 figures; v2, minor corrrections, e.g. in fig. 2 caption