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

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

2000-03-24

arxiv.org/abs/hep-ph/0003241v3

Mod.Phys.Lett. A15 (2000) 1227-1236

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 9 eps-figures, revtex; one reference added, one sentence (in 3rd paragraph after Eq.(11)) added for better clarity,

Scientific paper

10.1142/S0217732300001596

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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