Confining properties of the classical SU(3) Yang - Mills theory
Abstract
The spherically and cylindrically symmetric solutions of the 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 Yang - Mills theory in contradiction to monopole that is an exceptional solution. This allows to conclude that the confining properties of the classical 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