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Glueball as a bound state in the selfdual homogeneous vacuum gluon field

Ja. V. Burdanov·G. V. Efimov
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Abstract

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 selfdual 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-glouon 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 varies in the region 1470{Mev} - 1600{Mev} for QCD coupling constant in the region 0.2 - 0.5 if the gluon condensate is 0.012 Gev^4.

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Ja. V. Burdanov, G. V. Efimov. 2000-09-04. Glueball as a bound state in the selfdual homogeneous vacuum gluon field. https://doi.org/10.1103/physrevd.64.014001

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