BOREL SUMMABILITY OF $\varphi^{4}_4$ PLANAR THEORY VIA MULTISCALE ANALYSIS

DOI10.1142/S0129055X10004120zbMath1207.81053arXiv1002.2221OpenAlexW3105639060MaRDI QIDQ3064117

Marcello Porta, Sergio Simonella

Publication date: 20 December 2010

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

Full work available at URL: https://arxiv.org/abs/1002.2221

zbMATH Keywords

renormalization groupBorel summability\(\varphi^{4}_{4}\)

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Renormalization group methods applied to problems in quantum field theory (81T17) Renormalization group methods in equilibrium statistical mechanics (82B28) Abel, Borel and power series methods (40G10)

Cites Work

• Unnamed Item
• Proof of the Bogoliubov-Parasiuk theorem on renormalization
• A renormalizable field theory: The massive Gross-Neveu model in two dimensions
• Planar diagrams
• Rigorous proof of Luttinger liquid behavior in the 1d Hubbard model
• Convergence of Bogoliubov's method of renormalization in momentum space
• Ward identities and chiral anomaly in the Luttinger liquid
• An improvement of Watson’s theorem on Borel summability
• Renormalization group for one-dimensional fermions. A review on mathematical results

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