Leading large order asymptotics for \((\phi ^ 4)_ 2\) perturbation theory

DOI10.1007/BF01210844zbMath0568.46055MaRDI QIDQ1060392

Stephen Breen

Publication date: 1983

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

zbMATH Keywords

large order perturbation theory asymptotics in quantum field theoryradius of convergence of the Borel transformrepresentation of the Borel transform

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Constructive quantum field theory (81T08) Perturbation theories for operators and differential equations in quantum theory (81Q15) Applications of functional analysis in quantum physics (46N50)

Related Items

Instantons of two-dimensional fermionic effective actions by inverse scattering transformation, Ultraviolet problems in field theory and multiscale expansions, Large-order estimates for ground-state energy perturbation series, On the large order behavior of \(\Phi^4_4\), A Lipatov bound for \(\Phi^4_4\) Euclidean field theory, On the local Borel transform of perturbation theory, Unnamed Item, Semi-classical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space. II: \(P(\phi)_2\)-model on a finite volume, Unnamed Item

Cites Work

• Existence of solitary waves in higher dimensions
• Dual variational methods in critical point theory and applications
• Divergence of perturbation theory for bosons
• Critical exponents from field theory
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