Problems and Progress in Covariant High Spin Description

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.

Invited Contribution to the Joint proceedings of the 30 Annual Meeting of the Division of Particles and Fields of the Mexican Physical Society and the XV Mexican Workshop on Particles and Fields

References in corpus (5)

• Big-Bang Nucleosynthesis
• Spin 3/2 Beyond the Rarita-Schwinger Framework
• Bosonic and fermionic Weinberg-Joos (j,0)+ (0,j) states of arbitrary spins as Lorentz-tensors or tensor-spinors and second order theory
• Electromagnetic multipole moments of elementary spin-1/2, 1, and 3/2 particles
• Gyromagnetic g_s factors of the spin-1/2 particles in the (1/2+,1/2-,3/2-) triad of the four-vector spinor, ψ_μ, irreducibility, and linearity

Cited by in corpus (1)

• Massless Rarita-Schwinger field from a divergenceless anti-symmetric-tensor spinor of pure spin-$3/2$