Non-Borel summable Φ4 theory in zero dimension: A toy model for testing numerical and analytical methods

DOI10.1063/1.2903750zbMath1152.81552OpenAlexW1985616820MaRDI QIDQ5504886

M. Marucho

Publication date: 23 January 2009

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

Full work available at URL: https://doi.org/10.1063/1.2903750

Mathematics Subject Classification ID

Model quantum field theories (81T10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (1)

Critical exponents from the weak-coupling, strong-coupling and large-order parametrization of the hypergeometric \((_{k+1}F_k)\) approximants

Cites Work

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• A nonperturbative calculation of the electron's magnetic moment
• Some rigorous results on the Sherrington-Kirkpatrick spin glass model.
• Generalized Borel transform technique in quantum mechanics
• An improvement of Watson’s theorem on Borel summability
• On the generalized Borel transform and its application to the statistical mechanics of macromolecules
• Analytic continuation of hypergeometric functions by complex single loop Euler transforms

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