标题： 自旋3/2量子场的波动方程 显示英文标题

标题： Wave equations for spin 3/2 quantum fields

摘要： 在本工作中，我们回顾了从不同洛伦兹群表示构建的自旋-3/2场的波动方程公式。我们分析了乔斯-魏因伯格单自旋手征表示和双自旋手征表示，重点在于其协变算子的结构。我们探讨了达芬-肯默-佩蒂奥（DKP）形式化及其代数性质，该形式化最初用于自旋-0和自旋-1粒子，此处考虑作为自旋3/2的潜在框架。结果，我们恢复了著名的拉里塔-施温格表示，并在$(3/2,0) \oplus (0,3/2) \oplus (1,1/2) \oplus (1/2,1)$表示中发现了一种新的可能性。 显示英文摘要

摘要： 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.