A Few Lessons from pQCD Analysis at Low Energies

Details A Few Lessons from pQCD Analysis at Low Energies A Few Lessons from pQCD Analysis at Low Energies

2012-02-15

arxiv.org/abs/1202.3220v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 figures, 8 pages. The text of contribution to Proceedings of "Intern. Workshop on $e^+e^-$ Collisions from $\phi$ to $J/\Psi

Scientific paper

Motivated by the recent 4-loop analysis of the JLab data on Bjorken Sum Rule, where the pQCD series seems to blow up at $|Q|\lesssim 1.5\,\GeV, \alpha_s \gtrsim 0.33\,,$ 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.

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