On the Analytic "Causal" Model for the QCD Running Coupling

D. V. Shirkov

doi:10.1016/S0920-5632(97)01044-X

paper

On the Analytic "Causal" Model for the QCD Running Coupling

arXiv:hep-ph/9708480 · doi:10.1016/S0920-5632(97)01044-X

Abstract

We discuss the model $α ˉ_{an} (Q^{2})$ recently proposed for the QCD running coupling $α ˉ_{s} (Q^{2})$ in the Euclidean domain on the basis of the "asymptotic-freedom" expression and on causality condition in the form of the $Q^{2}$ -analyticity. The model contains no adjustable parameters and obeys the important features: (i) Finite ghost-free behavior in the "low $Q^{2}$ " region and correspondence with the standard RG-summed UV expressions;%\item~ % (ii) The universal limiting value $α ˉ_{an} (0)$ expressed only via group symmetry factors. This value as well as the $α ˉ_{an}$ behavior in the whole IR region $Q^{2} \leq Λ^{2}$ turns out to be stable with respect to higher loop corrections; %\item~ (iii) Coherence between observed $α ˉ_{s} (M_{τ}^{2})$ value and integral information on the IR $α ˉ_{s} (Q^{2})$ behavior extracted from jet physics.

4 pages, LaTex with psfig.sty, 2 PostScript figures

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Analytic Model for the QCD Running Coupling with Universal $α ˉ_{s} (0)$ Value

On the Analytic "Causal" Model for the QCD Running Coupling

Abstract

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