Causal Propagation of Spin-Cascades

Details Causal Propagation of Spin-Cascades Causal Propagation of Spin-Cascades

2007-06-30

arxiv.org/abs/0707.0064v1

Mod.Phys.Lett.A21:2961-2969,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages

Scientific paper

10.1142/S0217732306020779

We gauge the direct product of the Proca with the Dirac equation that describes the coupling to the electromagnetic field of the spin-cascade (1/2,3/2) residing in the four-vector spinor and analyze propagation of its wave fronts in terms of the Courant-Hilbert criteria. We show that the differential equation under consideration is unconditionally hyperbolic and the propagation of its wave fronts unconditionally causal. In this way we proof that the irreducible spin-cascade embedded within four-vector is free from the Velo-Zwanziger problem that plagues the Rarita-Schwinger description of spin-3/2. The proof extends also to the direct product of two Proca equations and implies causal propagation of the spin-cascade (0,1,2) within an electromagnetic environment.

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