The 2(2S+1)- Formalism and Its Connection with Other Descriptions
Abstract
In the framework of the Joos-Weinberg 2(2S+1)- 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 S=1 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 2(2S+1)- component massless field is considered. New interpretation of the Weinberg field function is proposed. KEYWORDS: quantum electrodynamics, Lorentz group representation, high-spin particles, bivector, electromagnetic field potential. PACS: 03.50.De, 11.10.Ef, 11.10.Qr, 11.17+y, 11.30.Cp
Keywords
Cite
@article{arxiv.hep-th/9305141,
title = {The 2(2S+1)- Formalism and Its Connection with Other Descriptions},
author = {Valeriy V. Dvoeglazov},
journal= {arXiv preprint arXiv:hep-th/9305141},
year = {2016}
}
Comments
13pp., merged hep-th/9305141 and hep-th/9306108 with revisions. Accepted in "Int. J. Geom. Meth. Phys."