Kaluza-Klein reduction and consistency of the massive spin-3/2 theory with external interaction |
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Authors: | Saurabh D. Rindani M. Sivakumar |
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Affiliation: | 1. Theory Group, Physical Research Laboratory, Navrangpura, 380009, Ahmedabad, India 2. S.N. Bose National Centre for Basic Sciences, DB-17, Salt Lake, 700 064, Calcutta, India
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Abstract: | A gauge-invariant Rarita-Schwinger theory of a massive spin-3/2 particle interacting with external electromagnetic, gravitational and dilaton fields is obtained by Kaluza-Klein reduction of a massless Rarita-Schwinger theory with graviational interaction. Fermionic gauge invariance serves to determine the background equations of motion. The couplings with external fields obtained by the Kaluza-Klein reduction are shown to lead to the absence of the classical Velo-Zwanziger problem and on quantizing using Dirac's procedure, the field anticommutators are found to be positive definite. |
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