Joint Theory Seminar: Henrik Munch

Speaker: Henrik Munch

Title: Feynman Integral Relations from GKZ Hypergeometric Systems

Abstract:
We study Feynman integrals in the framework of Gel'fan-Kapranov-Zelevinsky (GKZ) hypergeometric systems, which can be regarded as a vast generalization of the familiar Gauss 2F1 hypergeometric function. In this framework, it becomes possible to represent a Feynman integral as a differential operator, thereby deriving relations for integrals from relations between operators. In particular, we derive linear relations and differential equations for Feynman integrals based a novel algorithm employing the so-called Macaulay matrix.