On Feynman graphs, matroids, and GKZ-systems
Mathematical Physics
2022-12-14 v1 Algebraic Geometry
Combinatorics
math.MP
Abstract
We show in several important cases that the -hypergeometric system attached to a Feynman diagram in Lee--Pomeransky form, obtained by viewing the momenta and the nonzero masses as indeterminates, has a normal underlying semigroup. This continues a quest initiated by Klausen, and studied by Helmer and Tellander. In the process we identify several relevant matroids related to the situation and explore their relationships.
Cite
@article{arxiv.2206.05378,
title = {On Feynman graphs, matroids, and GKZ-systems},
author = {Uli Walther},
journal= {arXiv preprint arXiv:2206.05378},
year = {2022}
}
Comments
20 pages