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Glueball as a bound state in the self-dual homogeneous vacuum gluon field

Using a simple relativistic QFT model of scalar fields we demonstrate that the analytic confinement (propagator is an entire function in the complex p{sup 2} plane) and the weak coupling constant lead to the Regge behavior of the two-particle bound states. In QCD we assume that the gluon vacuum is realized by the self-dual homogeneous classical field which is the solution of the Yang-Mills equations. This assumption leads to analytical confinement of quarks and gluons. We extract the colorless 0{sup ++} two-gluon state from the QCD generating functional in the one-gluon exchange approximation. The mass of this bound state is defined by the Bethe-Salpeter equation. The glueball mass is 1765 MeV for {alpha}{sub s}=0.33 if the gluon condensate is {l_angle}({alpha}{sub s}/{pi})GG{r_angle}=0.012GeV{sup 4}.