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IHEP 2005 - 5 (In English) | |
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| A.I. Alekseev | ||
| Synthetic Running Coupling of QCD | ||
| Protvino, 2005. – p. 14, figs. 1, tables 1, refs.: 34. | ||
Based on a study of the analytic running coupling obtained from the standard perturbation theory results up to four-loop order, the QCD ``synthetic'' running coupling \alphasyn is built. In so doing the perturbative time-like discontinuity is preserved and nonperturbative contributions not only remove the nonphysical singularities of the perturbation theory in the infrared region but also decrease rapidly in the ultraviolet region. In the framework of the approach, on the one hand, the running coupling is enhanced at zero and, on the other hand, the dynamical gluon mass mg arises. Fixing the parameter \sigma corresponding to the string tension parameter and normalization, say, at M\tau completely define the synthetic running coupling. In this case the dynamical gluon mass appears to be fixed and the higher loop stabilization property of mg is observed. For \sigma =(0.42 GeV)2 and \alphasyn(M2\tau)= 0.33+-0.01 it is obtained that mg = (530+-80) MeV.
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