Algebraic structure in renormalization of combinatorially non-local field theories

Basic data for this talk

Type of talkscientific Talk
Name der VortragendenThürigen, Johannes
Date of talk10/05/2021
Talk languageEnglish
URL of slideshttps://www2.mathematik.hu-berlin.de/~kreimer/seminars/

Information about the event

Name of the eventResearch seminar Structure of Local Quantum Field Theories
Event locationHumboldt-Universität zu Berlin
Event websitehttps://www2.mathematik.hu-berlin.de/~kreimer/seminars/

Abstract

Generalizing the point-like interactions of standard ``local'' QFT to combinatorially non-local interactions preserves locality in the sense of renormalization. The crucial difference is that residues come with an additional graph structure. Still, the standard Hopf-algebraic structure of (perturbative) renormalization applies. I show how this facilitates renormalization in the case of the BPHZ momentum scheme and give an outlook on non-perturbative applications.
KeywordsHopf Algebra; Quantum Field Theory; Combinatorial Non-locality

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