Nested Catalan tables and a recurrence relation in noncommutative quantum field theory

DOI10.4171/AIHPD/113zbMath1495.81075arXiv1904.11231MaRDI QIDQ2124254

Raimar Wulkenhaar, Jins de Jong, Alexander Hock

Publication date: 19 April 2022

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.11231

zbMATH Keywords

Catalan numberschord diagramsnoncommutative QFT

Mathematics Subject Classification ID

Measures of association (correlation, canonical correlation, etc.) (62H20) Combinatorial identities, bijective combinatorics (05A19) Enumeration in graph theory (05C30) Noncommutative geometry methods in quantum field theory (81T75) Numerical aspects of recurrence relations (65Q30) Matrix models and tensor models for quantum field theory (81T32)

Related Items (5)

Blobbed topological recursion of the quartic Kontsevich model. I: Loop equations and conjectures ⋮ Solution of the self-dual \(\Phi^4\) QFT-model on four-dimensional Moyal space ⋮ Complete solution of the LSZ model via topological recursion ⋮ A Laplacian to compute intersection numbers on \(\overline{\mathcal{M}}_{g,n}\) and correlation functions in NCQFT ⋮ From scalar fields on quantum spaces to blobbed topological recursion

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Unnamed Item
• Invariants of algebraic curves and topological expansion
• Enumeration of noncrossing trees on a circle
• Statistics on non-crossing trees
• Lambert-W solves the noncommutative \(\Phi^4\)-model
• Self-dual noncommutative \(\phi^4\)-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory
• How Prof. Zeidler supported our research on exact solution of quantum field theory toy models
• Perturbative and geometric analysis of the quartic Kontsevich model
• Blobbed topological recursion: properties and applications
• A Census of Planar Maps
• Quantum field theory on noncommutative spaces

This page was built for publication: Nested Catalan tables and a recurrence relation in noncommutative quantum field theory