Dyson-Schwinger Equations in Tensorial Φ^4 Theory

Basic data for this talk

Type of talkscientific Talk
Name der VortragendenThürigen, Johannes
Date of talk23/03/2022
Talk languageEnglish
URL of slideshttps://www.dpg-verhandlungen.de/year/2022/conference/heidelberg/part/mp/session/7/contribution/4

Information about the event

Name of the eventDPG Frühjahrstagung 2022
Event locationHeidelberg
Event websitehttps://heidelberg22.dpg-tagungen.de/
Organised byDPG

Abstract

In quantum field theory, the Connes-Kreimer Hopf algebra captures not only the structure of perturbative renormalization but allows also to describe the non-perturbative regime in terms of “combinatorial” Dyson-Schwinger equations. This algebra generalizes from usual Feyn- man diagrams to “strand graphs”, the combinatorial objects underlying a broad class of non-local theories, in particular tensorial field theory. Here we show how this can be used to derive Dyson-Schwinger equa- tions in the case of φ^4 theory with tensorial interactions.
KeywordsQuantum Field Theory; Renormalization; Dyson-Schwinger Equations

Speakers from the University of Münster

Thürigen, Johannes

Projects the talk is about

Duration: 01/06/2019 - 12/08/2022 | 1st Funding period
Funded by: DFG - Individual Grants Programme
Type of project: Individual project