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QUANTUM CHROMODYNAMICS AND THE HYPERBOLIC UNITARY GROUP SUH(3)
Popov N.N.
The paper shows that it is natural to construct quantum chromodynamics as a rigorous theory on the basis of employment of hyperbolic unitary group SUh(3), which is a symmetry group for the three-dimensional complex space of the hyperbolic type. Such an approach makes it possible to discover a profound connection between conserved color charges of the quarks and the symmetries of the hyperbolic three-dimensional complex space. Further, it allows to introduce correctly from mathematical point of view the Hermitian operators to describe the eight gluons, which are carriers of strong interactions.
Keywords: hyperbolic complex spaces, hyperbolic numbers, unitary symmetry groups, color charges, Hermitian gluon operators.
UDC: 51-71, 515.173, 539.12.01
PACS: 12.38.-t, 11.30.-j.
DOI: 10.17238/issn2226-8812.2020.2.71-82
Please cite this article in English as:
Popov N.N. Quantum Chromodynamics and the Hyperbolic Unitary Group SUh(3). Space, Time and Fundamental Interactions, 2020, no. 2, pp. 71-82.