Combinatorial Dyson-Schwinger equations in tensorial field theory

Basic data for this talk

Type of talkscientific Talk
Name der VortragendenThürigen, Johannes
Date of talk17/11/2021
Talk languageEnglish
URL of slideshttps://www.esi.ac.at/events/t543/

Information about the event

Name of the eventHigher structures emerging from renormalisation
Event period15/11/2021 - 19/11/2021
Event locationErwin Schrödinger Institute, Vienna, Austria
Event websitehttps://web.math.uni-potsdam.de/viennaconference2021/

Abstract

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.

Speakers from the University of Münster

Thürigen, Johannes

Publications referred to in the talk

Thürigen, J (2021)
In: Symmetry, Integrability and Geometry: Methods and Applications17094. doi:10.3842/SIGMA.2021.094
Research article (journal) | Peer reviewed | Published