BOREL-SUMMABLE PERTURBATION SERIES FOR THEORIES WITH DEGENERATE MINIMA

Journal Article · Thu Aug 01 00:00:00 EDT 1991 · Modern Physics Letters A

DOI:https://doi.org/10.1142/s0217732392001002· OSTI ID:1449581

AOYAMA, HIDEAKI ^[1]

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1. Stanford Linear Accelerator Center, Stanford University, Stanford, CA 94305, USA

We shed new light on the large-order behavior of the perturbation theory for the quantum mechanics with degenerate minima. The dominant contribution at large-order of perturbation is identified as a bounce-like solution of an effective theory in Euclidean path-integral formalism. Based on this observation, we define an improved perturbation theory, which utilizes the symmetry of the theory. It is shown to yield a Borel-summable series.

• Research Organization: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: AC02-76SF00515
• OSTI ID: 1449581
• Report Number(s): SLAC-PUB-5624
• Journal Information: Modern Physics Letters A, Journal Name: Modern Physics Letters A Journal Issue: 15 Vol. 07; ISSN 0217-7323
• Country of Publication: United States
• Language: English