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arXiv · 0803.4497

Transverse Symmetry and Spin-3/2 Fields

D. Blas
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Abstract

We study the possible covariant Lagrangians that describe the propagation of pure spin-3/2 particles. We show that, apart from the well-known Rarita-Schwinger Lagrangian, there is another possibility where the field is described by a gamma-traceless combination and that both Lagrangians yield the same physical predictions for the interaction of conserved sources. We also prove that for the case when the spin-2 field is described by a traceless field, there is no possible spin-3/2 action that makes the system supersymmetric. Nevertheless, the interaction between this field andthe spin-3/2 field may be possible.

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D. Blas. 2008-03-31. Transverse Symmetry and Spin-3/2 Fields. https://doi.org/10.1088/0264-9381%2F25%2F15%2F154009

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