The perturbative expansion of quantum field theory associates numbers (or functions) to combinatorial graphs. These Feynman integrals are often transcendental and hard to evaluate. I will review various combinatorial invariants of graphs that behave similar to these integrals. In particular, I will explain a relation between spanning tree partitions and circuit partitions. It allows for efficient counting of these partitions, producing for every graph an integer sequence that determines the Feynman integral, conjecturally through an Apery-like limit. This is joint work with Francis Brown and Karen Yeats.
(based on https://arxiv.org/abs/2304.05299 and ongoing work)
Pour être informé des prochains séminaires vous pouvez vous abonner à la liste de diffusion en écrivant un mail à sympa@listes.math.cnrs.fr avec comme sujet: "subscribe seminaire_physique PRENOM NOM"
(indiquez vos propres prénom et nom) et laissez le corps du message vide.
Slava Rychkov
