Resummation of Nonalternating Divergent Perturbative Expansions
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)
asymptotic properties, autoionization, line widths, nonperturbative techniques, perturbation theory, QED, Zeeman and Stark effects
Resummation of Nonalternating Divergent Perturbative Expansions, Physical Review D (Particles, Fields, Gravitation and Cosmology)
(Accessed December 1, 2023)