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Resummation of nonalternating divergent perturbative expansions

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PHYSICAL REVIEW D
卷 62, 期 7, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.62.076001

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