On Feynman graphs, matroids, and GKZ-systems

  title={On Feynman graphs, matroids, and GKZ-systems},
  author={Uli Walther},
  journal={Letters in Mathematical Physics},
  • U. Walther
  • Published 11 June 2022
  • Mathematics
  • Letters in Mathematical Physics
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. 

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