Abstract
Using the effective potential approach for composite operators we have formulated the quantum model of the QCD vacuum. It is based on the existence and importance of the non-perturbative q −4-type dynamical, topologically nontrivial excitations of the gluon field configurations. The QCD vacuum is found stable since the vacuum energy density has no imaginary part. We have also proposed a method how to determine finite (but always negative) the non-perturbative Yang-Mills (YM) vacuum energy density. It becomes dependent only on a scale at which non-perturbative effects become important. The quark part of the vacuum energy density depends in addition on the constant of integration of the corresponding Schwinger-Dyson equation. The value of the above mentioned scale is determined from the bounds for the pion decay constant in the chiral limit by implementing physically well-motivated scale-setting scheme.
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