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Local-Potential Approximation in Tensor-Invariant Theories

Basic data for this talk

Type of talk: scientific Talk
Name der Vortragenden: Thürigen, Johannes
Date of talk: 08/06/2022
Talk language: English
URL of slides: http://math.univ-lyon1.fr/homes-www/vignes/TJC/Archives

Information about the event

Name of the event: Tensor Journal Club
Event location: Paris (virtual)
Event website: http://math.univ-lyon1.fr/homes-www/vignes/TJC/Archives

Abstract

The local-potential approximation is a powerful tool to determine the RG flow in local field theories, O(N) theories being the paradigmatic example where full analytic solutions can be obtained. For fields interacting non-locally such as in tensor-invariant theories, a local potential is strictly speaking not at hand. In this talk we show under what conditions the local-potential technique is still applicable and that it can lead again to Wilson-Fisher type fixed points.
Keywords: Renormalization group; vector models; tensor models; Wilson-Fisher fixed point; Bell polynomials

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

Publications referred to in the talk

Phase transitions in TGFT: Functional renormalization group in the cyclic-melonic potential approximation and equivalence to O(N) models
Pithis AG, Thürigen J (2020)
In: ((Bitte Journal prüfen)), 12 (2020). doi:10.1007/JHEP12(2020)159
Research article (journal) | Peer reviewed | Published