Glueball as a bound state in the self-dual homogeneous 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 $p^2$–plane) and the weak coupling constant lead to the Regge behaviour 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 $0^{++}$ 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 $1765\mathrm{M}\mathrm{e}\mathrm{V}$ for ${\alpha }_s=0.33$ if the gluon condensate is $<({\alpha }_s\mathrm{/}\pi )GG>=0.012{\mathrm{G}\mathrm{e}\mathrm{V}}^4$.