Running coupling at small momenta, renormalization schemes and renormalons
Abstract
We suggest a method of summing the perturbation theory (PT) asymptotic series related to infrared (IR) renormalons in QCD by using special renormalization schemes in which the running coupling can be integrated over the region of small momenta. For the method to work, one should consider higher order PT corrections to the standard bubble-chain diagrams. High-order corrections allow one to choose a scheme in which the coupling evolution can smoothly be extrapolated to small momenta. In such schemes the sum of an (extended) IR-renormalon asymptotic series is defined as an integral of the running coupling over the IR region. We give explicit examples of renormalization schemes in QCD which can be used for summing IR-renormalon asymptotic series according to our definition.
Cite
@article{arxiv.hep-ph/9510207,
title = {Running coupling at small momenta, renormalization schemes and renormalons},
author = {N. V. Krasnikov and A. A. Pivovarov},
journal= {arXiv preprint arXiv:hep-ph/9510207},
year = {2009}
}
Comments
revised version to be published in Yad. Fiz., misprints corrected, references updated, 19 pages, latex