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hep-th2022
Feynman Integral Relations from GKZ Hypergeometric Systems
Henrik J. Munch
We study Feynman integrals in the framework of Gel'fand-Kapranov-Zelevinsky (GKZ) hypergeometric systems. The latter defines a class of functions wherein Feynman integrals arise as…
hep-th2022★ 53 cited
Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers
Vsevolod Chestnov, Federico Gasparotto, Manoj K. Mandal +4
We elaborate on the connection between Gel'fand-Kapranov-Zelevinsky systems, de Rham theory for twisted cohomology groups, and Pfaffian equations for Feynman integrals. We propose…