Borel-Pade vs Borel-Weniger method: a QED and a QCD example
摘要
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.
引用
@article{arxiv.hep-ph/0003241,
title = {Borel-Pade vs Borel-Weniger method: a QED and a QCD example},
author = {G. Cvetic and Ji-Young Yu},
journal= {arXiv preprint arXiv:hep-ph/0003241},
year = {2009}
}
备注
11 pages, 9 eps-figures, revtex; one reference added, one sentence (in 3rd paragraph after Eq.(11)) added for better clarity, references updated