English

Wave equations for spin 3/2 quantum fields

High Energy Physics - Theory 2025-07-01 v1

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)(0,3/2)(1,1/2)(1/2,1)(3/2,0) \oplus (0,3/2) \oplus (1,1/2) \oplus (1/2,1) representation.

Keywords

Cite

@article{arxiv.2506.23057,
  title  = {Wave equations for spin 3/2 quantum fields},
  author = {J. Escamilla-Muñoz and S. Gómez-Ávila},
  journal= {arXiv preprint arXiv:2506.23057},
  year   = {2025}
}
R2 v1 2026-07-01T03:38:09.952Z