Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-05-26
Hadronic J. 16 (1993) 459-467
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, LaTeX file, Preprint IFUNAM FT-93-016
Scientific paper
In the framework of the $2(2S+1)$-- theory of Joos-Weinberg for massless particles, the dynamical invariants have been derived from the Lagrangian density which is considered to be a 4-- vector. A l\'a Majorana interpretation of the 6-- component spinors, the field operators of $S=1$ particles, as the left-- and right--circularly polarized radiation, leads us to the conserved quantities which are analogous to ones obtained by Lipkin and Sudbery. The scalar Lagrangian of Joos-Weinberg theory is shown to be equivalent to the Lagrangian of a free massless field, introduced by Hayashi. As a consequence of a new "gauge" invariance this skew-symmetric field describes physical particles with the longitudinal components only.
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