Asymptotic Power Series of Field Correlators

We address the problem of ambiguity of a function determined by an asymptotic perturbation expansion. Using a modified form of theWatson lemma recently proved elsewhere, we discuss a large class of functions determined by the same asymptotic power expansion and represented by various forms of integr...

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Bibliographic Details
Main Authors: I. Caprini, J. Fischer, I. Vrkoč
Format: Article
Language:English
Published: CTU Central Library 2010-01-01
Series:Acta Polytechnica
Online Access:https://ojs.cvut.cz/ojs/index.php/ap/article/view/1199
Description
Summary:We address the problem of ambiguity of a function determined by an asymptotic perturbation expansion. Using a modified form of theWatson lemma recently proved elsewhere, we discuss a large class of functions determined by the same asymptotic power expansion and represented by various forms of integrals of the Laplace-Borel type along a general contour in the Borel complex plane. Some remarks on possible applications in QCD are made.
ISSN:1210-2709
1805-2363