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

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

2002-09-24

arxiv.org/abs/hep-ph/0209285v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

3 pages. Parallel talk given at the 5rd International Conference on Quark Confinement and the Hadron Spectrum (Confinement V),

Scientific paper

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 $1765~{\rm MeV}$ for $\alpha_s=0.33$ if the gluon condensate is $<(\alpha_s/\pi) G G >=0.012~{\rm GeV}^4$.

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