Borel summability of the perturbation series in a hierarchical \(\lambda (\nabla \Phi)^ 4\) model

DOI10.1007/BF01015730zbMath0587.60099OpenAlexW2017421960MaRDI QIDQ1072270

B. George

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01015730

zbMATH Keywords

renormalization groupperturbation serieshierarchical modelBorel summability

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (1)

Ultraviolet problems in field theory and multiscale expansions

Cites Work

• Unnamed Item
• Ultraviolet stability in Euclidean scalar field theories
• Existence of a phase-transition in a one-dimensional Ising ferromagnet
• Divergence of perturbation theory for bosons
• An improvement of Watson’s theorem on Borel summability
• Divergence of Perturbation Theory in Quantum Electrodynamics

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