BOREL SUMMABILITY OF $\varphi^{4}_4$ PLANAR THEORY VIA MULTISCALE ANALYSIS
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Publication:3064117
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
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
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- 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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