Resummation of QED Perturbation Series by Sequence Transformations and the Prediction of Perturbative Coefficients

U. D. Jentschura, J. Becher, E. J. Weniger, and G. Soff
Phys. Rev. Lett. 85, 2446 – Published 18 September 2000
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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 Padé 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 Padé method.

  • Received 10 November 1999

DOI:https://doi.org/10.1103/PhysRevLett.85.2446

©2000 American Physical Society

Authors & Affiliations

U. D. Jentschura1,*, J. Becher1, E. J. Weniger2,3, and G. Soff1

  • 1Institut für Theoretische Physik, TU Dresden, D-01062 Dresden, Germany
  • 2Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Straße 38-40, 01187 Dresden, Germany
  • 3Institut für Physikalische und Theoretische Chemie, Universität Regensburg, D-93040 Regensburg, Germany

  • *Electronic address: ulrich@theory.phy.tu-dresden.de

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Vol. 85, Iss. 12 — 18 September 2000

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