Quantum Chromodynamics and the Hyperbolic Unitary Group SUh(3)

Author:

Popov Nikolay1ORCID,Matveev Ivan1ORCID

Affiliation:

1. Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Vavilov Str., 44/2, 119333 Moscow, Russia

Abstract

The paper shows that it is possible 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 allows researchers 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 a correct introduction of the Hermitian operators to describe the eight gluons, which are carriers of strong interactions.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Reference12 articles.

1. Close, F.E. (1979). An Introduction to Quarks and Partons, Academic Press.

2. Campbell, J., Huston, J., and Krauss, F. (2018). The Black Book of Quantum Chromodynamics, Oxford University Press.

3. Particle Data Group, Workman, R.L., Burkert, V.D., Crede, V., Klempt, E., Thoma, U., Tiator, L., Agashe, K., Aielli, G., and Allanach, B.C. (2022). Review of Particle Physics. Prog. Theor. Exp. Phys., 2022, 083C01.

4. Coloring mixed QCD/QED evolution;Gellersen;SciPost Phys.,2022

5. Vision for QCD to the 2030s and Beyond;Sterman;SciPost Phys. Proc.,2022

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