Resummation of Nonalternating Divergent Perturbative Expansions
High Energy Physics - Phenomenology
2009-10-31 v2
Abstract
A method for the resummation of nonalternating divergent perturbation series is described. The procedure constitutes a generalization of the Borel-Pad\'{e} method. Of crucial importance is a special integration contour in the complex plane. Nonperturbative imaginary contributions can be inferred from the purely real perturbative coefficients. A connection is drawn from the quantum field theoretic problem of resummation to divergent perturbative expansions in other areas of physics.
Keywords
Cite
@article{arxiv.hep-ph/0001135,
title = {Resummation of Nonalternating Divergent Perturbative Expansions},
author = {U. D. Jentschura},
journal= {arXiv preprint arXiv:hep-ph/0001135},
year = {2009}
}
Comments
5 pages, LaTeX, 2 tables, 1 figure; discussion of the Carleman criterion added; version to appear in Phys. Rev. D