BPHZ renormalization in combinatorially non-local field theory

Basic data for this talk

Type of talkscientific Talk
Name der VortragendenThürigen, Johannes
Date of talk18/05/2021
Talk languageEnglish

Information about the event

Name of the eventJoint Theory Seminar
Event locationESI Universität Wien & ITP TU Wien
Event websitehttps://mathphys.univie.ac.at/seminars/

Abstract

Combinatorial non-locality occurs in various field theories such as non-commutative field theory, matrix and tensor theories or the group field theory approach to quantum gravity. Though interactions in such theories are not point-like, they are still local in the sense that for any divergent Feynman diagram there is a unique counter term vertex, described in general by a graph. This allows to generalize the renormalization Hopf algebra of Feynman graphs to a Hopf algebra of 2-graphs which gives a concise algorithm for applying Zimmermann’s forest formula to amplitudes in any renormalizable non-local field theory.

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