The distributional Borel summability and the large coupling \(\Phi ^ 4\) lattice fields

DOI10.1007/BF01210798zbMath0648.40007MaRDI QIDQ1105135

Marco Maioli, Emanuela Caliceti, Vincenzo Grecchi

Publication date: 1986

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

zbMATH Keywords

power series expansionBorel sumTrotter formulaWatson-Nevanlinna criterion

Mathematics Subject Classification ID

Abel, Borel and power series methods (40G10)

Related Items (10)

Double wells: Perturbation series summable to the eigenvalues and directly computable approximations ⋮ Double wells: Nevanlinna analyticity, distributional Borel sum and asymptotics ⋮ Distributional Borel summability for vacuum polarization by an external electric field ⋮ Calculation of the characteristic functions of anharmonic oscillators ⋮ Spectral properties of the Dirac equation in unbounded vector potentials ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Multi-instantons and exact results. III: Unification of even and odd anharmonic oscillators ⋮ Strong asymptotic conditions (short guide to using summability methods). ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ Stark resonances: Asymptotics and distributional Borel sum

Cites Work

• Computer methods and Borel summability applied to Feigenbaum's equation
• An improvement of Watson’s theorem on Borel summability
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