Relation between confinement and higher symmetry restrictions for color particle motion

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.

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

References in corpus (9)

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• Generalized Quantum Relativistic Kinematics: a Stability Point of View
• Towards a Maximal Mass Model
• Events in a Non-Commutative Space-Time
• Relativistic invariant Lie algebras for kinematical observables in quantum space-time
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• What our world might be like (as alternative to Minkowski space-time with Poincare group of motion)
• The wave function of the modified space time manifold
• Generalized kinematical symmetries of quantum phase space