Resummation of nonalternating divergent perturbative expansions

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Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN: 1550-2368, Vol: 62, Issue: 7, Page: 5-null

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Jentschura, Ulrich D.
American Physical Society (APS)
Physics and Astronomy; Physics; High Energy Physics - Phenomenology
article description
A method for the resummation of a 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. © 2000 The American Physical Society.