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IHEP 97 - 26
A.I.Alekseev, B.A.Arbuzov
Analyticity and Minimality of Nonperturbative Contributions in Perturbative Region for anti-alphas
Protvino, 1997.- p.8, tables 1, refs.:23.


It is shown, that a possibility of freezing a QCD running coupling constant at zero in the approach with "forced analyticity" can not be in accord with the Schwinger-Dyson equation for the gluon propagator. We propose to add to the analytic expression the well-known infrared singular term $1/q^2$ as well as a pole term corresponding to "excited gluon". By this example we formulate the principle of minimality of nonperturbative contributions in the perturbative (ultraviolet) region, which allows us to fix ambiguities when introducing nonperturbative terms and maintain the finiteness of the gluon condensate. As a result we obtain estimates of the gluon condensate, which quite agree with the existing data. The nonzero effective mass of the "excited gluon" leads also to some interesting qualitative consequences.


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