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

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

2004-09-22

arxiv.org/abs/hep-ph/0409265v1

J.Nonlin.Math.Phys. 12 (2005) S625-S632

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, no figures, dedicated to the 70th birthday of Professor Francesco Calogero, subm. to the Journal of Nonlinear Mathem

Scientific paper

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

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