English

Confining properties of the classical SU(3) Yang - Mills theory

High Energy Physics - Theory 2007-05-23 v1

Abstract

The spherically and cylindrically symmetric solutions of the SU(3)SU(3) Yang - Mills theory are obtained. The corresponding gauge potential has the confining properties. It is supposed that: a) the spherically symmetric solution is a field distribution of the classical ``quark'' and in this sense it is similar to the Coulomb potential; b) the cylindrically symmetric solution describes a classical field ``string'' (flux tube) between two ``quarks''. It is noticed that these solutions are typically for the classical SU(3)SU(3) Yang - Mills theory in contradiction to monopole that is an exceptional solution. This allows to conclude that the confining properties of the classical SU(3)SU(3) Yang - Mills theory are general properties of this theory.

Keywords

Cite

@article{arxiv.hep-th/9611096,
  title  = {Confining properties of the classical SU(3) Yang - Mills theory},
  author = {V. Dzhunushaliev},
  journal= {arXiv preprint arXiv:hep-th/9611096},
  year   = {2007}
}

Comments

REVTEX, 11 pages, 4 EPS figures