Abstract

We propose a method for the resummation of divergent perturbative expansions in quantum electrodynamics and related field theories. The method is based on a nonlinear sequence transformation and uses as input data only the numerical values of a finite number of perturbative coefficients. The results obtained in this way are for alternating series superior to those obtained using Padé approximants. The nonlinear sequence transformation fulfills an accuracy-through-order relation and can be used to predict perturbative coefficients. In many cases, these predictions are closer to available analytic results than predictions obtained using the Padé method.

Department(s)

Physics

Keywords and Phrases

Algorithms; Approximation Theory; Asymptotic Stability; Computational Complexity; Mathematical Transformations; Perturbation Techniques; Nonlinear Sequence Transformations; Pade Approximants; Wynn Epsilon Algorithms; Quantum Theory

International Standard Serial Number (ISSN)

0031-9007

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2000 American Physical Society (APS), All rights reserved.

Included in

Physics Commons

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