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IHEP 2005 - 2 (In Russian)
A.I. Alekseev
Analytic Invariant Charge of QCD with Nonperturbative Contributions Suppressed at Large Q2
Protvino, 2005. – p. 18, figs: 2, tables: 2, refs.: 44.


The modified "synthetic" invariant charge model of QCD is constructed on the base of the analytic invariant charge in its turn obtained from the standard perturbation theory approximations up to four loop order. The proposed model preserves the perturbative time-like discontinuity and its nonperturbative contributions not only remove the nonphysical singularities of the perturbation theory in the infrared region but also vanish rapidly in the ultraviolet region. Within this model, on the one hand, the invariant charge is enhanced at zero (the dual superconductivity property of the QCD vacuum) and, on the other hand, the dynamical gluon mass generation is realized. In the framework of the approach fixing the parameter corresponding to the string tension parameter and normalizing for example at M\tau completely define the synthetic invariant charge. At that the dynamical gluon mass mg turns out to be fixed and stable with respect to the higher loop approximations of the initial perturbation theory.


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