From scalar fields on quantum spaces to blobbed topological recursion

Branahl, Johannes; Grosse, Harald; Hock, Alexander; Wulkenhaar, Raimar

Research article (journal) | Peer reviewed

Abstract

We review the construction of the λϕ4-model on noncommutative geometries via exact solutions of Dyson-Schwinger equations and explain how this construction relates via (blobbed) topological recursion to problems in algebraic and enumerative geometry.

Details about the publication

JournalJournal of Physics A: Mathematical and Theoretical (J. Phys. A)
Volume55
Issue42
Article number423001
StatusPublished
Release year2022 (11/10/2022)
Language in which the publication is writtenEnglish
DOI10.1088/1751-8121/ac9260
Link to the full texthttps://doi.org/10.1088/1751-8121/ac9260
KeywordsQuantum field theory; Noncommutative geometry; Matrix models; (Blobbed) Topological recursion; Renormalisation; Ribbon graphs

Authors from the University of Münster

Branahl, Johannes
Mathematical Institute
Hock, Alexander
Professur für Reine Mathematik (Prof. Wulkenhaar)
Wulkenhaar, Raimar
Professur für Reine Mathematik (Prof. Wulkenhaar)