Jentschura, U. D. and Becher, J. and Weniger, Ernst Joachim and Soff, G. (2000) Resummation of QED perturbation series by sequence transformations and the prediction of perturbative coefficients. PHYSICAL REVIEW LETTERS, 85 (12). pp. 2446-2449. ISSN 0031-9007
Full text not available from this repository. (Request a copy)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 Fade 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 Fade method.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | RENORMALIZATION-GROUP FUNCTIONS; QUANTUM-FIELD THEORY; STATE ENERGY; PADE; SUMMATION; EXPANSION; |
| Subjects: | 500 Science > 540 Chemistry & allied sciences |
| Divisions: | Chemistry and Pharmacy > Institut für Physikalische und Theoretische Chemie |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Mar 2022 09:22 |
| Last Modified: | 23 Mar 2022 09:22 |
| URI: | https://pred.uni-regensburg.de/id/eprint/42203 |
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