Séminaire Physique mathématique ICJ

Borel-Ecalle resummation and Quantum Field Theory

by Dr Pierre Clavier

Fokko du Cloux (Institut Camille Jordan)

Fokko du Cloux

Institut Camille Jordan

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

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