Non-Perturbative Physics from Perturbative Hopf-Algebraic Dyson-Schwinger Equations

Gerald Dunne (U of Connecticut)

Nov 15. 2021, 14:15 — 15:15

The Kreimer-Connes Hopf algebraic formulation of quantum field theoretic renormalization provides a powerful framework to study renormalized QFTs at high orders in perturbation theory. But QFTs also have non-perturbative features, conventionally identified with "instantons" or "renormalons". Using methods of resurgent asymptotics, we can extract non-perturbative information directly from a perturbative analysis, here illustrated starting from the perturbative Hopf algebraic formalism.

Further Information
ESI Boltzmann Lecture Hall
Slides Fauvet
Associated Event:
Higher Structures Emerging from Renormalisation (Graduate School)
Pierre Clavier (U of Haut-Alsace)
Kurusch Ebrahimi-Fard (NTNU, Trondheim)
Peter K. Friz (TU Berlin)
Harald Grosse (U of Vienna)
Dominique Manchon (U Clerment Auvergne)
Sylvie Paycha (U of Potsdam)
Sylke Pfeiffer (U of Potsdam)