On Feynman graphs, matroids, and GKZ-systems
Abstract
We show in several important cases that the A-hypergeometric system attached to a Feynman diagram in Lee-Pomeransky 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/s11005-022-01614-2
- arXiv:
- arXiv:2206.05378
- Bibcode:
- 2022LMaPh.112..120W
- Keywords:
-
- Feynman graph;
- Feynman integral;
- GKZ-system;
- Hypergeometric;
- Matroid;
- Mathematical Physics;
- Mathematics - Algebraic Geometry;
- Mathematics - Combinatorics
- E-Print:
- 20 pages