Resurgent Asymptotics of Hopf Algebraic Dyson-Schwinger Equations

Gerald Dunne (U of Connecticut)

Oct 14. 2020, 15:30 — 16:15

Hopf Algebraic methods in a wide class of quantum field theories lead to Dyson Schwinger equations expressed as systems of nonlinear differential equations. Formal solutions of these ODEs correspond to perturbative expansions, and methods of resurgent asymptotics can be used to decode associated non-perturbative information. I will discuss the basic ideas of resurgence in ODEs, and present some explicit examples in quantum field theory.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Higher Structures Emerging from Renormalisation - partially postponed (Online Workshop)
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)