Combinatorial Dyson-Schwinger equations in tensorial field theory

Johannes Thürigen (WWU Münster)

Nov 19. 2021, 10:15 — 11:15

Perturbative renormalization in local quantum field theory is described mathematically by the Connes-Kreimer Hopf algebra of Feynman diagrams. This algebra generalizes from usual graphs to ``strand graphs'', the combinatorial objects underlying a broad class of non-local theories, in particular tensorial field theory. As a consequence one can identify Hochschild 1-cocycles and describe the non-perturbative regime of such theories in terms of combinatorial Dyson-Schwinger equations.

Further Information
ESI Boltzmann Lecture Hall
Slides Hock
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)