Holonomy and resurgence for partition functions

Autor: Fauvet, Frédéric, Menous, Frédéric, Queva, Julien
Přispěvatelé: Institut de Recherche Mathématique Avancée (IRMA), Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS), Université Pascal Paoli (UPP)
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Popis: We describe the resurgence properties of some partition functions corresponding to Field theories in dimension 0. We show that these functions satisfy linear differential equations with polynomial coefficients and then use elementary stability results for holonomic functions to prove resurgence properties, enhancing previously known results on growth estimates for the formal series involved, which had been obtained through a delicate combinatorics.
Databáze: OpenAIRE