16-20 November 2020
Europe/Paris timezone

Resurgent Trans-series Analysis of Hopf Algebraic Renormalization

19 Nov 2020, 16:30
Marilyn and James Simons Conference Center (IHES)

Marilyn and James Simons Conference Center


35 route de Chartres, F-91440 Bures-sur-Yvette, France


Prof. Gérald DUNNE (University of Connecticut)


In the Kreimer-Connes Hopf algebraic approach to renormalization, for certain QFTs the Dyson-Schwinger equations can be reduced to nonlinear differential equations. I describe methods based on Ecalle's theory of resurgent trans-series to extract non-perturbative information from these Dyson-Schwinger equations. Even in the absence of exact results, there exist efficient methods to uncover non-perturbative information numerically from perturbative data.

Presentation Materials