Wave Function Renormalizations in Non-Local Field Theories

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Abstract

In combinatorially non-local field theories, propagating degrees of freedom interact similar to matrix or tensor interactions. Then, both from a perturbative (Hopf algebraic) and non-perturbative (FRG) perspective there are indications that renormalization is inconsistent with a single wave function renormalization parameter, even when the propagator is the same as in local QFT. We show how to improve this in terms of several wave function renormalizations and how, consequently, the renormalization group is modified. This is based on arXiv:2305.06136 and ongoing work.

Speakers from the University of Münster

Thürigen, Johannes

Professur für Reine Mathematik (Prof. Wulkenhaar)

Projects the talk is about

Non-perturbative Group field theory from combinatorial Dyson-Schwinger equations and their algebraic structure II Duration: 13/08/2022 - 20/06/2024 | 2nd Funding period Funded by: DFG - Individual Grants Programme Type of project: Individual project

Publications referred to in the talk

QFT with Tensorial and Local Degrees of Freedom: Phase Structure from Functional Renormalization Ben Geloun, J; Pithis, A; Thürigen, J (2024) In: Journal of Mathematical Physics, 65, 032302. doi:10.1063/5.0158724 Research article (journal) | Peer reviewed | Published