Relation between confinement and higher symmetry restrictions for color particle motion
High Energy Physics - Theory
2010-04-02 v3
Abstract
Quantum operators of coordinates and momentum components of a particle in the Minkowski spacetime can belong to the generalized Snyder-Yang algebra and produce a quantum phase space with three new constants in the general case. With account for the O(2,6) invariance in the quantum phase space of a color particle the equation of motion is obtained, which contains a oscillator rising potential. The presence of the oscillator potential can simulate a confinement of a color particle. A parameter of the oscillator potential is estimated and a relationship between current and constituent quark masses is obtained.
Keywords
Cite
@article{arxiv.0912.2819,
title = {Relation between confinement and higher symmetry restrictions for color particle motion},
author = {V. V. Khruschov},
journal= {arXiv preprint arXiv:0912.2819},
year = {2010}
}
Comments
3 pages, style and typos corrected, more general case considered, main results unchanged