Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Borel-summable perturbation series for theories with degenerate minima

Journal Article · · Modern Physics Letters A; (Singapore)
 [1]
  1. Stanford Univ., CA (United States)
In this paper, the authors 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, the authors define an improved perturbation theory, which utilizes the symmetry of the theory. It is shown to yield a Borel-summable series.
OSTI ID:
7278283
Journal Information:
Modern Physics Letters A; (Singapore), Journal Name: Modern Physics Letters A; (Singapore) Vol. 7:15; ISSN 0217-7323; ISSN MPLAE
Country of Publication:
United States
Language:
English

Similar Records

BOREL-SUMMABLE PERTURBATION SERIES FOR THEORIES WITH DEGENERATE MINIMA
Journal Article · Thu Aug 01 00:00:00 EDT 1991 · Modern Physics Letters A · OSTI ID:1449581

Borel summability and the renormalization group
Journal Article · Thu Sep 15 00:00:00 EDT 1977 · Phys. Rev., D; (United States) · OSTI ID:5430230

Non-Borel summable {phi}{sup 4} theory in zero dimension: A toy model for testing numerical and analytical methods
Journal Article · Tue Apr 15 00:00:00 EDT 2008 · Journal of Mathematical Physics · OSTI ID:21100265