Glueball as a bound state in the self-dual homogeneous gluon field
Abstract
Using a simple relativistic QFT model of scalar fields we demonstrate that the analytic confinement (propagator is an entire function in the complex --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 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 for if the gluon condensate is .
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