Multi-valued Feynman Graphs and Scattering Theory
High Energy Physics - Theory
2019-03-22 v3 Mathematical Physics
math.MP
Abstract
We outline ideas to connect the analytic structure of Feynman amplitudes to the structure of Karen Vogtmann's {\em Outer Space}. We focus on the role of cubical chain complexes in this context, and also investigate the bordification problem in the example of the 3-edge banana graph.
Keywords
Cite
@article{arxiv.1807.00288,
title = {Multi-valued Feynman Graphs and Scattering Theory},
author = {Dirk Kreimer},
journal= {arXiv preprint arXiv:1807.00288},
year = {2019}
}
Comments
31 pages, figures use colors, minor changes, as to appear in the Proceedings of the conference {\em Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory}, DESY-Zeuthen, October 2017, Johannes Bl\"umlein et.al., eds