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Jentschura UD, Becher J, Weniger EJ, et al. Resummation of QED perturbation series by sequence transformations and the prediction of perturbative coefficients. Phys Rev Lett. 2000;85(12):2446-9doi: 10.1103/PhysRevLett.85.2446.
Jentschura, U. D., Becher, J., Weniger, E. J., & Soff, G. (2000). Resummation of QED perturbation series by sequence transformations and the prediction of perturbative coefficients. Physical review letters, 85(12), 2446-9. https://doi.org/10.1103/PhysRevLett.85.2446
Jentschura, et al. "Resummation of QED perturbation series by sequence transformations and the prediction of perturbative coefficients." Physical review letters vol. 85,12 (2000): 2446-9. doi: https://doi.org/10.1103/PhysRevLett.85.2446
Jentschura UD, Becher J, Weniger EJ, Soff G. Resummation of QED perturbation series by sequence transformations and the prediction of perturbative coefficients. Phys Rev Lett. 2000 Sep 18;85(12):2446-9. doi: 10.1103/PhysRevLett.85.2446. PMID: 10978078.
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Phys Rev Lett. 2000 Sep 18;85(12):2446-9. doi: 10.1103/PhysRevLett.85.2446.

Resummation of QED perturbation series by sequence transformations and the prediction of perturbative coefficients.

Physical review letters

Jentschura, Becher, Weniger, Soff

Affiliations

  1. Institut fur Theoretische Physik, TU Dresden, D-01062 Dresden, Germany.

PMID: 10978078 DOI: 10.1103/PhysRevLett.85.2446

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.

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