Resummation of nonalternating divergent perturbative expansions - art. no.076001

A method for the resummation of a nonalternating divergent perturbation ser ies is described. The procedure constitutes a generalization of the Borel-P ade method. Of crucial importance is a special integration contour in the c omplex plane. Nonperturbative imaginary contributions can be inferred from the purely real perturbative coefficients. A connection is drawn from the q uantum field theoretic problem of resummation to divergent perturbative exp ansions in other areas of physics.