A Few Lessons from pQCD Analysis at Low Energies
High Energy Physics - Phenomenology
2015-06-04 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Motivated by the recent 4-loop analysis of the JLab data on Bjorken Sum Rule, where the pQCD series seems to blow up at we overview the general origin of the divergency of common perturbation expansion over powers of a small coupling parameter in QFT and consider in detail the {\it blowing-up phenomenon} and accuracy of finite sums for simple alternating and non-alternating examples of divergent series.
Keywords
Cite
@article{arxiv.1202.3220,
title = {A Few Lessons from pQCD Analysis at Low Energies},
author = {D. V. Shirkov},
journal= {arXiv preprint arXiv:1202.3220},
year = {2015}
}
Comments
9 figures, 8 pages. The text of contribution to Proceedings of "Intern. Workshop on $e^+e^-$ Collisions from $\phi$ to $J/\Psi$" (PHIPSI11), Novosibirsk Sept 2011; to be published in Nucl.Phys.(Proc.Suppl.)