Cosmic Wheels: From integrability to the Galois coaction
High Energy Physics - Theory
2021-04-28 v1
Abstract
We argue that the description of Feynman loop integrals as integrable systems is intimately connected with their motivic properties and the action of the Cosmic Galois Group. We show how in the case of a family of fishnet graphs, coaction relations between graphs follow directly from iterative constructions of Q-functions in the Quantum Spectral Curve formalism. Using this observation we conjecture a "differential equation for numbers" that enter these periods.
Cite
@article{arxiv.2011.04781,
title = {Cosmic Wheels: From integrability to the Galois coaction},
author = {Ömer Gürdoğan},
journal= {arXiv preprint arXiv:2011.04781},
year = {2021}
}
Comments
6 pages