Gérald DUNNE - Resurgent Trans-series Analysis of Hopf Algebraic Renormalization
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 29/11/2020

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.


https://indico.math.cnrs.fr/event/4834/contributions/4776/attachments/2618/3310/GeraldDUNNE.pdf