Relation between confinement and higher symmetry restrictions for color particle motion

Details Relation between confinement and higher symmetry restrictions for color particle motion Relation between confinement and higher symmetry restrictions for color particle motion

2009-12-15

arxiv.org/abs/0912.2819v3

Physics

High Energy Physics

High Energy Physics - Theory

3 pages, style and typos corrected, more general case considered, main results unchanged

Scientific paper

10.1134/S0202289309040069

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.

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