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arXiv · hep-ph/0003241

Borel-Pade vs Borel-Weniger method: a QED and a QCD example

G. Cvetic·Ji-Young Yu
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Abstract

Recently, Weniger (delta sequence) method has been proposed by the authors of Ref. [1] (Jentschura et al.) for resummation of truncated perturbation series in quantum field theories. Those authors presented numerical evidence suggesting that this method works better than Pade approximants when we resum a function with singularities in the Borel plane but not on the positive axis. We present here numerical evidence suggesting that in such cases the combined method of Borel-Pade works better than its analog Borel-Weniger, and that it may work better or comparably well in some of the cases when there are singularities on the positive axis in the Borel plane.

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G. Cvetic, Ji-Young Yu. 2000-08-09. Borel-Pade vs Borel-Weniger method: a QED and a QCD example. https://doi.org/10.1142/s0217732300001596

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