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Resummation of Nonalternating Divergent Perturbative Expansions

U. D. Jentschura
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Abstract

A method for the resummation of nonalternating divergent perturbation series is described. The procedure constitutes a generalization of the Borel-Padé 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.

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U. D. Jentschura. 2000-06-23. Resummation of Nonalternating Divergent Perturbative Expansions. https://doi.org/10.1103/physrevd.62.076001

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