Improved conformal mapping of the Borel plane
نویسندگان
چکیده
منابع مشابه
Improved Conformal Mapping of the Borel Plane
The conformal mapping of the Borel plane can be utilized for the analytic continuation of the Borel transform to the entire positive real semi-axis and is thus helpful in the resummation of divergent perturbation series in quantum field theory. We observe that the rate of convergence can be improved by the application of Padé approximants to the Borel transform expressed as a function of the co...
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The technique of conformal mappings is applied to enlarge the convergence domain of the Borel series and to accelerate the convergence of Borel-summed Green functions in perturbative QCD. We use the optimal mapping, which takes into account the location of all the singularities of the Borel transform as well as the present knowledge about its behaviour near the first branch points. The determin...
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The optimal conformal mapping of the Borel plane was recently used to accelerate the convergence of the perturbation expansions in QCD. In this work we discuss the relevance of the method for the calculation of the Laplace-Borel integral expressing formally the QCD Green functions. We define an optimal expansion of the Laplace-Borel integral in the principal value prescription and establish con...
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چکیده ندارد.
15 صفحه اولHurewicz-like Tests for Borel Subsets of the Plane
Let ξ ≥ 1 be a countable ordinal. We study the Borel subsets of the plane that can be made Πξ by refining the Polish topology on the real line. These sets are called potentially Πξ . We give a Hurewicz-like test to recognize potentially Πξ sets. 1. Preliminaries in dimension one Let us recall some results in dimension one before studying Borel subsets of the plane. In descriptive set theory, a ...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2001
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/34/7/316