Resummation of Nonalternating Divergent Perturbative Expansions

Details Resummation of Nonalternating Divergent Perturbative Expansions Resummation of Nonalternating Divergent Perturbative Expansions

2000-01-14

arxiv.org/abs/hep-ph/0001135v2

Phys.Rev. D62 (2000) 076001

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, LaTeX, 2 tables, 1 figure; discussion of the Carleman criterion added; version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.62.076001

A method for the resummation of nonalternating divergent perturbation series is described. The procedure constitutes a generalization of the Borel-Pad\'{e} 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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