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arXiv · 1610.09219

Problems and Progress in Covariant High Spin Description

Mariana Kirchbach·Victor Miguel Banda Guzman
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Abstract

A universal description of particles with spins j greater or equal one , transforming in (j,0)+(0,j), is developed by means of representation specific second order differential wave equations without auxiliary conditions and in covariant bases such as Lorentz tensors for bosons, Lorentz-tensors with Dirac spinor components for fermions, or, within the basis of the more fundamental Weyl-Van-der-Waerden sl(2,C) spinor-tensors. At the root of the method, which is free from the pathologies suffered by the traditional approaches, are projectors constructed from the Casimir invariants of the spin-Lorentz group, and the group of translations in the Minkowski space time.

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Mariana Kirchbach, Victor Miguel Banda Guzman. 2016-10-25. Problems and Progress in Covariant High Spin Description. https://doi.org/10.1088/1742-6596/761/1/012079

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