English

Gluons in the QCD bound state problem - a way to exact solution

High Energy Physics - Phenomenology 2007-05-23 v1

Abstract

The colored objects -- quarks and gluons -- being confined in a small volume VR03,V\sim R_0^3, R00.5R_0\sim 0.5fm inside the QCD bound state get there not small masses mqqˉ1m_{q\bar q}\sim 1GeV, mg0.5m_g\sim 0.5GeV. This drastically simplifies the QCD dynamics, as now the probabilities e.g. of production of one extra massive valent gluon or extra qqˉq\bar q pair, turned to be small due to a large gap between corresponding energy levels. The ordinary quantum mechanical perturbation theory calculations made in the paper shows that corresponding dimensionless transition amplitudes ΛMH=VMHEM(0)EH(0)\Lambda_{MH}=\frac{V_{MH}}{|E^{(0)}_M-E^{(0)}_H|} (from meson qqˉq\bar q to the hybrid qqˉgq\bar qg) have a value of 20--25% and the mixing of hybrid with glueball (gg)(gg) is even smaller (of the order of 10--18%). Taking into account all such mixings with all highly lying Fock states is equivalent to the exact solution of QCD bound state problem. This can be done really summing the small perturbation theory results for these states contributions.

Keywords

Cite

@article{arxiv.hep-ph/0007361,
  title  = {Gluons in the QCD bound state problem - a way to exact solution},
  author = {K. A. Ter-Martirosyan},
  journal= {arXiv preprint arXiv:hep-ph/0007361},
  year   = {2007}
}

Comments

11 pages, 7 figures

R2 v1 2026-07-22T13:28:20.469Z