title: Resummation of QED perturbation series by sequence transformations and the prediction of perturbative coefficients
abstract: We propose a method for the resummation of divergent perturbative expansions in quantum electrodynamics and related field theories. The method is based on a nonlinear sequence transformation and uses as input data only the numerical values of a finite number of perturbative coefficients. The results obtained in this way are for alternating series superior to those obtained using Pade approximants. The nonlinear sequence transformation fulfills an accuracy-through-order relation and can be used to predict perturbative coefficients. In many cases, these predictions are closer to available analytic results than predictions obtained using the Pade method.
authors.affiliation: Institut fur Theoretische Physik, TU Dresden, D-01062 Dresden, Germany.
authors.initials: UD
authors.lastname: Jentschura
authors.initials: J
authors.lastname: Becher
authors.initials: EJ
authors.lastname: Weniger
authors.initials: G
authors.lastname: Soff