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Resummation of Nonalternating Divergent Perturbative Expansions

Published

Author(s)

U Jentschura

Abstract

A procedure for the resummation of nonalternating divergent perturbation series is described. The prescription combines the Borel transformation with Pade approximations and a special integration contour for the evaluation of a generalized Borel integral. Nonperturbative imaginary contributions can be inferred form the purely real perturbative coefficients. A connection is drawn from the quantum field theoretic problem of ressummation to divergent perturbative expansions in other areas of physics.
Citation
Physical Review D (Particles, Fields, Gravitation and Cosmology)
Volume
62
Issue
No. 7

Keywords

asymptotic properties, autoionization, line widths, nonperturbative techniques, perturbation theory, QED, Zeeman and Stark effects

Citation

Jentschura, U. (2000), Resummation of Nonalternating Divergent Perturbative Expansions, Physical Review D (Particles, Fields, Gravitation and Cosmology) (Accessed June 22, 2024)

Issues

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Created October 1, 2000, Updated February 17, 2017