Affiliation:
1. Universidad de Zacatecas, Ap. Postal 636, Suc. 3, Zacatecas 98061, Zac., México
Abstract
In the framework of the Joos–Weinberg [Formula: see text]-theory for massless particles, the dynamical invariants have been derived from the Lagrangian density which is considered to be a 4-vector. A la Majorana interpretation of the 6-component “spinors”, the field operators of [Formula: see text] particles, as the left- and right-circularly polarized radiation, leads us to the conserved quantities which are analogous to those obtained by Lipkin and Sudbery. The scalar Lagrangian of the 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. The interaction of the spinor field with the Weinberg’s [Formula: see text]-component massless field is considered. New interpretation of the Weinberg field function is proposed.
Publisher
World Scientific Pub Co Pte Lt
Subject
Physics and Astronomy (miscellaneous)