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Resummation of Nonalternating Divergent Perturbative Expansions



U Jentschura


A procedure for the resummation of nonalternating divergent perturbation series is described. The prescription combines the Borel transformation with Pade approximations and a special integration contour for the evaluation of a generalized Borel integral. Nonperturbative imaginary contributions can be inferred form the purely real perturbative coefficients. A connection is drawn from the quantum field theoretic problem of ressummation to divergent perturbative expansions in other areas of physics.
Physical Review D (Particles, Fields, Gravitation and Cosmology)
No. 7


asymptotic properties, autoionization, line widths, nonperturbative techniques, perturbation theory, QED, Zeeman and Stark effects


Jentschura, U. (2000), Resummation of Nonalternating Divergent Perturbative Expansions, Physical Review D (Particles, Fields, Gravitation and Cosmology) (Accessed June 22, 2024)


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Created October 1, 2000, Updated February 17, 2017