Loop vertex expansion for higher-order interactions

DOI10.1007/s11005-017-1037-9zbMath1390.81285arXiv1702.07602OpenAlexW3103027336MaRDI QIDQ1635783

Vincent Rivasseau

Publication date: 1 June 2018

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.07602

zbMATH Keywords

quantum field theoryconstructive field theoryloop vertex expansion

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Constructive quantum field theory (81T08) Abel, Borel and power series methods (40G10) Vertex degrees (05C07)

Related Items (13)

Schwinger–Dyson and loop equations for a product of square Ginibre random matrices ⋮ Note on the intermediate field representation of \(\phi^{2k}\) theory in zero dimension ⋮ Perturbative quantum field theory on random trees ⋮ Constructive renormalization of the 2-dimensional Grosse-Wulkenhaar model ⋮ Constructive matrix theory for higher order interaction. II: Hermitian and real symmetric cases ⋮ Towards a finite-\(N\) hologram ⋮ Resurgence and holonomy of the ϕ2k model in zero dimension ⋮ Constructive tensor field theory: the \(T_{4}^{4}\) model ⋮ Contrasting SYK-like models ⋮ Random matrices and holographic tensor models ⋮ Ward identities and combinatorics of rainbow tensor models ⋮ Constructive expansion for vector field theories I. Quartic models in low dimensions ⋮ Constructive matrix theory for higher-order interaction

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