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19 April 2024
 
  » arxiv » 0912.2819

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Relation between confinement and higher symmetry restrictions for color particle motion
V. V. Khruschov ;
Date 15 Dec 2009
AbstractQuantum operators of coordinate and momentum components of a particle in Minkowski spacetime belong to the generalized Snyder-Yang algebra in the general case and produce a quantum phase space. Assuming 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 existence of the oscillator potential can explain the confinement of quarks. A parameter of the potential and quantum constants with the dimensions of mass and length are estimated.
Source arXiv, 0912.2819
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