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Asymptotic power series of field correlators

Mathematical Physics 2011-09-22 v1 High Energy Physics - Phenomenology math.MP

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.

Keywords

Cite

@article{arxiv.1012.1138,
  title  = {Asymptotic power series of field correlators},
  author = {Irinel Caprini and Jan Fischer and Ivo Vrkoč},
  journal= {arXiv preprint arXiv:1012.1138},
  year   = {2011}
}

Comments

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