A method for the resummation of a nonalternating divergent perturbation series is described. The procedure constitutes a generalization of the Borel-Padã 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.
U. D. Jentschura, "Resummation of Nonalternating Divergent Perturbative Expansions," Physical Review D, Particles and fields, vol. 62, no. 7, pp. 2 076001-1 - 076001-5, American Physical Society (APS), Oct 2000.
The definitive version is available at https://doi.org/10.1103/PhysRevD.62.076001
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© 2000 American Physical Society (APS), All rights reserved.
01 Oct 2000