Quaternionic Hilbert space and colour confinement: I
- 1 January 1980
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 13 (1) , 15-22
- https://doi.org/10.1088/0305-4470/13/1/004
Abstract
A formalism based on quaternionic Hilbert spaces is developed to describe the coloured hadron states. The definition of the multi-particle states consistent with the quaternionic structure is given. This definition implies the selection rules equivalent to the colour confinement. It is found that for the symmetry group G=GF*SU(3) this theory is algebraically equivalent to the Fritzsch and Gell-Mann model (1973).Keywords
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