Glueball as a bound state in the self-dual homogeneous vacuum gluon field - art. no. 014001

Using a simple relativistic QFT model of scalar fields we demonstrate that the analytic confinement (propagator is an entire function in the complex p (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 reali zed by the self-dual homogeneous classical field which is the solution of t he Yang-Mills equations. This assumption leads to analytical confinement of quarks and gluons. We extract the colorless 0(++) two-gluon state from the QCD generating functional in the one-gluon exchange approximation. The mas s of this bound state is defined by the Bethe-Salpeter equation. The glueba ll mass is 1765 MeV for alpha (s)=0.33 if the gluon condensate is ((alpha ( s)/pi )GG)=0.012 GeV4.