Problems and Progress in Covariant High Spin Description

30th Annual Meeting of the Division of Particles and Fields (DPyC) of the Mexican Physical Society

Kirchbach, Mariana^1 ; Guzmán, Victor Miguel Banda^1

Instituto de Fisica, Universidad Autónoma de San Luis Potosi, Zona Universitaria, Av. Manuel Nava 6, San Luis Potosi, SLP, México

78290, Mexico^1

关键词: Casimir invariants;    High spins;    Lorentz group;    Minkowski space-time;    Particles with spin;    Second orders;    Traditional approaches;    Universal description;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/761/1/012079/pdf
DOI  :  10.1088/1742-6596/761/1/012079

来源: IOP

【 摘 要 】

A universal description of particles with spins j > 1, 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.