Abstract
A method for the resummation of a nonalternating divergent perturbation series is described. The procedure constitutes a generalization of the Borel-Padã method. Of crucial importance is a special integration contour in the complex plane. Nonperturbative imaginary contributions can be inferred from the purely real perturbative coefficients. A connection is drawn from the quantum field theoretic problem of resummation to divergent perturbative expansions in other areas of physics.
Recommended Citation
U. D. Jentschura, "Resummation of Nonalternating Divergent Perturbative Expansions," Physical Review D, Particles and fields, vol. 62, no. 7, pp. 2 076001-1 - 076001-5, American Physical Society (APS), Oct 2000.
The definitive version is available at https://doi.org/10.1103/PhysRevD.62.076001
Department(s)
Physics
International Standard Serial Number (ISSN)
0556-2821
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2000 American Physical Society (APS), All rights reserved.
Publication Date
01 Oct 2000