Séminaire Physique mathématique ICJ

Borel-Ecalle resummation and Quantum Field Theory

by Dr Pierre Clavier

Europe/Paris
Fokko du Cloux (Institut Camille Jordan)

Fokko du Cloux

Institut Camille Jordan

Université Lyon 1, Bât. Braconnier, 21 av. Claude Bernard, 69100 Villeurbanne
Description

Borel-Ecalle resummation is a vast generalisation of a the Borel-Laplace
resummation theory. Using resurgent function and the notion of
well-behaved average it allows to resum some divergent series in a
direction where its Borel transform has singularities. I will spent time
presenting this method before applying to the two-point function of a
QFT. Namely, I study the Schwinger-Dyson equation and the
renormalisation group equation of the Wess-Zumino model, and show that
their solution is Borel-Ecalle summable.

Organized by

Nguyen-Viet Dang