Spin- 3/2 beyond the Rarita-Schwinger framework
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We employ the two independent Casimir operators of the Poincaré group, the squared four-momentum, p2, and the squared Pauli-Lubanski vector, W2, in the construction of a covariant mass m, and spin-3/2 projector in the four-vector spinor, ψμ. 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 g3/2=2. © Società Italiana di Fisica and Springer-Verlag 2006.
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