P. P. Andrusevich, V. A. Pletyukhov, V. I. Strazhev, “Transformations of the Pauli–Gürsey type in <nobr>$SU(3)$</nobr>-model”, PFMT, 2011, Issue 4(9),Pages <nobr>12

PHYSICS

Transformations of the Pauli–Gürsey type in $SU(3)$-model

P. P. Andrusevich^a, V. A. Pletyukhov^b, V. I. Strazhev^a

^a Belarusian State University, Minsk
^b A. S. Pushkin Brest State University, Brest

Abstract: It is shown that the group $SU(3,3)$ is the complete continuous group of internal symmetry of the Lagrangian formulation of the theory of the massless Dirac fermion with three internal degrees of freedom. The color symmetry group $SU(3)$ can be considered as a compact subgroup of the latter.

Keywords: transformations, internal symmetry, Dirac field, generators, group, invariance.

UDC: 539.12:530.145

Received: 25.10.2011