Inductive approach to loop vertex expansion

DOI10.1063/1.5055681zbMath1431.81102arXiv1809.01615OpenAlexW2890296004WikidataQ126427472 ScholiaQ126427472MaRDI QIDQ5218766

Fang-Jie Zhao

Publication date: 5 March 2020

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

Full work available at URL: https://arxiv.org/abs/1809.01615

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Rate of convergence, degree of approximation (41A25) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Weighted approximation (41A81)

Related Items (2)

Intermediate field representation for positive matrix and tensor interactions ⋮ Constructive matrix theory for higher-order interaction

Cites Work

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• How to resum Feynman graphs
• The multiscale loop vertex expansion
• Constructive field theory in zero dimension
• Note on the intermediate field representation of \(\phi^{2k}\) theory in zero dimension
• Constructive \(\phi^{4}\) field theory without tears
• An Explicit Large Versus Small Field Multiscale Cluster Expansion
• Loop vertex expansion for Φ2k theory in zero dimension
• Corrected loop vertex expansion for Φ24 theory

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