Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-03-31
Class.Quant.Grav.25:154009,2008
Physics
High Energy Physics
High Energy Physics - Theory
12 pages. To appear in Peyresq XII proceedings
Scientific paper
10.1088/0264-9381/25/15/154009
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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