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arxiv: hep-ph/0606308 · v1 · submitted 2006-06-29 · ✦ hep-ph · hep-th

Spin 3/2 Beyond the Rarita-Schwinger Framework

classification ✦ hep-ph hep-th
keywords constructionprojectorspin-3squaredbasisbeyondcasimircausally
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We employ the two independent Casimir operators of the Poincare group, the squared four--momentum, P^2, and the squared Pauli-Lubanski vector, W^2, in the construction of a covariant mass-m, and spin-3/2 projector in the four-vector-spinor, \psi_{\mu}. This projector provides the basis for the construction of an interacting Lagrangian that describes a causally propagating spin-3/2} particle coupled to the electromagnetic field by a gyromagnetic ratio of g_{3/2}=2.

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