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Analytic perturbation theory for quantum chromodynamic observables
/ Shirkov, D. V.
[ams.org/mathscinet:MR1863116 (2002j:81272)]
External link: Fulltext

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Large regular QCD coupling at Low Energy?
/ Shirkov, Dmitry
[arXiv:0807.1404]
The issue is the expediency of the QCD notions use in the low energy region down to the confinement scale, and, in particular, the efficacy of the QCD invariant coupling \bar{\alpha}_s(Q^2) with a minimal analytic modification in this domain. [...]
External links: 00000 \sl{\small Effective QCD coupling correlating all the data in the range from a few \text{GeV} \ up to a few hundred \text{GeV}. The solid curves correspond to the 2loop, NLO case. Taken from theBethke paper \cite{Bethke:06}.}; 00001 \sl{\small Comparison of singular $\bar{\alpha}_s$ coupling with Euclidean $\alpha_\text{E}$ and Minkowskian $\alpha_\text{M}$ in a few \text{GeV} region. Taken from paper \cite{ShS_PL:98}.}; 00002 \sl{\small Euclidean APT coupling $\alpha_E$ in the 1, 2 and 3loop cases for the $\overline{\rm MS}$ scheme.Taken from paper \cite{ShS_PL:98}.}}; 00003 \sl{\small Comparison of $\alps$ \ from meson spectrum (points with error bars) and 3loop\ {$\alpha_\text{E}$} at $\Lambda^{(3)}_{n_f=3}=(417\pm 42)\,$ \text{MeV} (3 solid curves). Singular 3loop $\albars$ coupling (dotdashed) is excluded by data. Dashed lines correspond to the massive APT version \cite{nest05}with $m\sim 40\,\MeV\,.$ Taken from paper \cite{MilanPRL:07}.}; 00004 \small The APT $\alpha_\text{E}(Q^2)$ coupling correlated with the world average vs. $\alpha_s^{exp}$ from the S,P states of the $(q,\bar{q})\,$ system. Evidencefor evolution below 500 \text{MeV}. 

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