Nonlinear Phenomena in Complex Systems, 2011, Vol.14, No.1, pp.96-101

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2011, Vol.14, No.1, pp.96-101

Internal Symmetry of a System of Three Dirac Fields.
V. A. Pletyukhov, V. I. Strazhev, and P. P. Andrusevich

It is shown that the group SO(4,3) is the complete group of internal symmetry of the Lagrangian formulation of the theory of the Dirac fermion with three internal degrees of freedom. In the framework of relativistic quantum mechanics, the color symmetry group SU(3) can be considered as a maximal compact subgroup of the latter.
Key words: internal symmetry, Dirac field, generators, group, invariance

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