Spin $3/2$ Fields Non-Minimal Coupling as Square Root of Linearized Gravity with Matter

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dc.creatorNieto, J. A.
dc.creatorObregón, O.
dc.creatorVillanueva, V. M.
dc.date1995-07-18
dc.date1995-07-19
dc.date.accessioned2026-07-07T09:04:03Z
dc.date.available2026-07-07T09:04:03Z
dc.descriptionA non-minimal coupling for spin $3/2$ fields is obtained. We use the fact that the Rarita-Schwinger field equations are the square root of the full linearized Einstein field equations in order to investigate the form of the interaction for the spin $3/2$ field with gauge fields. We deduce the form of the interaction terms for the electromagnetic and non-Abelian Yang-Mills fields by implementing appropiate energy momentum tensors on the linearized Einstein field equations. The interaction found for the electromagnetic case happens to coincide with the dipole term found by Ferrara {\it et al} by a very different procedure, namely by demanding $g=2$ at the tree level for the electromagnetic interaction of arbitrary spin particles. The same interaction is found by using the resource of linearized Supergravity N=2. For the case of the Yang-Mills field Supergravity N=4 is linearized, providing the already foreseen interaction.
dc.description16 pages, Latex
dc.identifierhttps://arxiv.org/abs/hep-th/9507095
dc.identifierhttp://arxiv.org/abs/hep-th/9507095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149233
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.titleSpin $3/2$ Fields Non-Minimal Coupling as Square Root of Linearized Gravity with Matter
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