期刊
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
卷 20, 期 13, 页码 2715-2741出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217751X05021300
关键词
spin-3/2; Rarita-Schwinger; gravitino
We derive the general Lagrangian and propagator for a vector-spinor field in d-dimensions and show that the physical observables are invariant under the so-called point transformation symmetry. Until now the symmetry has not been exploited in any nontrivial way, presumably because it is not an invariance of the classical action nor is it a gauge symmetry. Nevertheless, we develop a technique for exploring the consequences of the symmetry leading to a conserved vector current and charge. The current and charge are identically zero in the free field case and only contribute in a background such as a electromagnetic or gravitational field. The current can couple spin-3/2 fields to vector and scalar fields and may have important consequences in intermediate energy hadron physics as well as linearized supergravity. The consistency problem which plagues higher spin field theories is then discussed and some ideas regarding the possibility of solutions are presented.
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