Resummation of QED perturbation series by sequence transformations and the prediction of perturbative coefficients
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.
Jentschura
UD
Institut fur Theoretische Physik, TU Dresden, D-01062 Dresden, Germany.
Becher
J
Weniger
EJ
Soff
G