On Feynman graphs, matroids, and GKZsystems
Abstract
We show in several important cases that the Ahypergeometric system attached to a Feynman diagram in LeePomeransky form, obtained by viewing the coefficients of the integrand 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.
 Publication:

Letters in Mathematical Physics
 Pub Date:
 December 2022
 DOI:
 10.1007/s11005022016142
 arXiv:
 arXiv:2206.05378
 Bibcode:
 2022LMaPh.112..120W
 Keywords:

 Feynman graph;
 Feynman integral;
 GKZsystem;
 Hypergeometric;
 Matroid;
 Mathematical Physics;
 Mathematics  Algebraic Geometry;
 Mathematics  Combinatorics
 EPrint:
 20 pages