论文标题
关于古典无质量Rarita-舒恩格系统的自旋含量
On the spin content of the classical massless Rarita--Schwinger system
论文作者
论文摘要
我们在拉格朗日式和哈密顿式方法中分析了Rarita-Chwinger（RS）无质量理论。在拉格朗日级别，标准的伽马轨道量规固定约束留下了Spin-1/2和Spin-3/2繁殖庞加莱组的螺旋。在哈密顿水平上，结果取决于是否假定狄拉克的猜想（所有头等舱约束都会产生量规对称性）。在肯定的情况下，必须将次级一流的约束添加到总哈密顿量中，并且必须施加相应的量规固定条件，以完全删除Spin-1/2扇区。在相反的情况下，自旋1/2场传播，汉密尔顿场方程与Euler-Lagrange方程匹配。
We analyze the Rarita--Schwinger (RS) massless theory in the Lagrangian and Hamiltonian approaches. At the Lagrangian level, the standard gamma-trace gauge fixing constraint leaves a spin-1/2 and a spin-3/2 propagating Poincaré group helicities. At the Hamiltonian level, the result depends on whether the Dirac conjecture--that all first class constraints generate gauge symmetries--is assumed or not. In the affirmative case, a secondary first class constraint must be added to the total Hamiltonian and a corresponding gauge fixing condition must be imposed, completely removing the spin-1/2 sector. In the opposite case, the spin-1/2 field propagates and the Hamilton field equations match the Euler-Lagrange equations.
