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Symmetry of massive Rarita-Schwinger fields
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abstract
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 non-trival 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 and some ideas regarding the possiblity of solutions are presented.
Forward citations
Cited by 3 Pith papers
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Conformal gauge theory of vector-spinors and spin-3/2 particles
A conformal gauge theory for vector-spinors is constructed that is Weyl invariant when massless, propagates a massive spin-3/2 mode together with a negative-norm spin-1/2 state of double the mass, and satisfies the Ho...
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On the photon mass generation in Rarita-Schwinger QED
The one-loop photon self-energy in Rarita-Schwinger QED is computed in 2, 3, and 4 dimensions, giving the Schwinger mass in 2D and higher-derivative-dominated pole structures in 3D.
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Bhabha-like scattering in the Rarita-Schwinger model at finite temperature
For a massive Rarita-Schwinger spin-3/2 fermion coupled to photons, the tree-level Bhabha-like differential cross-section is derived at finite temperature, with a claimed T squared high-temperature growth.
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