Asymptotic power series of field correlators

Abstract

We address the problem of ambiguity of a function determined by an asymptotic perturbation expansion. Using a modified form of the Watson 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.

Presented at the International Conference "Selected Topics in Mathematical and Particle Physics" (Niederlefest), Prague, 5 - 7 May 2009