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arXiv · 2506.23057

Wave equations for spin 3/2 quantum fields

J. Escamilla-Muñoz·S. Gómez-Ávila
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Abstract

In this work, we review formulations of wave equations for spin-3/2 fields constructed from different Lorentz group representations. We analyze the Joss-Weinberg single-spin chiral representation and the double-spin chiral representation, focusing on the structure of their covariant operators. We explore the Duffin-Kemmer-Petiau (DKP) formalism and its algebraic properties, originally introduced for spin--0 and spin-1 particles, and here considered as a potential framework for spin 3/2. As a result, we recover the well-known Rarita-Schwinger representation and we find a new possibility in the $(3/2,0) \oplus (0,3/2) \oplus (1,1/2) \oplus (1/2,1)$ representation.

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J. Escamilla-Muñoz, S. Gómez-Ávila. 2025-06-29. Wave equations for spin 3/2 quantum fields. https://arxiv.org/abs/2506.23057

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