Spin 3/2 Beyond the Rarita-Schwinger Framework

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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20 pages

Scientific paper

10.1140/epja/i2005-10315-8

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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