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arXiv · 2206.05378

On Feynman graphs, matroids, and GKZ-systems

Uli Walther
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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 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.

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Uli Walther. 2022-06-11. On Feynman graphs, matroids, and GKZ-systems. https://doi.org/10.1007/s11005-022-01614-2

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