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arXiv · hep-ph/0409265

RG solutions for α_s at large N_c in d=3+1 QCD

Yu. A. Simonov
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Abstract

Solutions of RG equations for $β(α)$ and $α(Q)$ are found in the class of meromorphic functions satisfying asymptotic conditions at large $Q$ (resp. small $α)$, and analyticity properties in the $Q^2$ plane. The resulting $α_R(Q)$ is finite in the Euclidean $Q^2$ region and agrees well at $Q\geq 1$ GeV with the $\bar{MS} α_s(Q)$.

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Yu. A. Simonov. 2004-09-22. RG solutions for α_s at large N_c in d=3+1 QCD. https://doi.org/10.2991/jnmp.2005.12.s1.48

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