The Connes-Kreimer Hopf algebra in combinatorially non-local field theory
Basic data for this talk
Type of talk: scientific Talk
Name der Vortragenden: Thürigen, Johannes
Date of talk: 23/04/2021
Talk language: English
URL of slides: https://www.math.ntnu.no/acpms/view_talk.html?id=87
Information about the event
Name of the event: ACPMS Seminar (Algebraic and combinatorial perspectives in the mathematical sciences)
Event location: NTNU, Trondheim, Norway
Event website: https://www.math.ntnu.no/acpms/
Abstract
Perturbative renormalization in local quantum field theory is described mathematically by the Connes-Kreimer Hopf algebra of Feynman diagrams. In this talk I show how this algebra generalizes from usual graphs to ``2-graphs'', the combinatorial objects underlying a broad class of non-local theories such as non-commutative and tensor field theories. I demonstrate how this applies to renormalizable field theories in the BPHZ momentum scheme.Speakers from the University of Münster
| Thürigen, Johannes |
Publications referred to in the talk
Thürigen, J (2021) In: Symmetry, Integrability and Geometry: Methods and Applications, 17, 094. doi:10.3842/SIGMA.2021.094 Research article (journal) | Peer reviewed | Published |