English

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

High Energy Physics - Phenomenology 2017-08-23 v1

Abstract

Using a simple relativistic QFT model of scalar fields we demonstrate that the analytic confinement (propagator is an entire function in the complex p2p^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++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 MeV1765~{\rm MeV} for αs=0.33\alpha_s=0.33 if the gluon condensate is <(αs/π)GG>=0.012 GeV4<(\alpha_s/\pi) G G >=0.012~{\rm GeV}^4.

Keywords

Cite

@article{arxiv.hep-ph/0209285,
  title  = {Glueball as a bound state in the self-dual homogeneous gluon field},
  author = {Ja. V. Burdanov and G. V. Efimov},
  journal= {arXiv preprint arXiv:hep-ph/0209285},
  year   = {2017}
}

Comments

3 pages. Parallel talk given at the 5rd International Conference on Quark Confinement and the Hadron Spectrum (Confinement V), Gargnano, Italy, September 10-14, 2002. To appear in the proceedings