论文标题

广义Mathisson-PapeTrou-Tulczyjew-Dixon方程

Generalized Mathisson-Papapetrou-Tulczyjew-Dixon Equations

论文作者

Ootsuka, Takayoshi, Yahagi, Ryoko

论文摘要

我们从Casalbuoni-brink-Schwarz型伪造的Majoranda-plassical Lagrangians的Mathisson-Papapetou-Tulczyjew-Dixon方程中得出了两个概括,该方程在Riemann-Cartan SpaceTime上的Majora Majorana型伪经典lagrangians。一个人具有“颜色”自由,这使运动方程也是对黄方程的概括。另一个是旋转模型,再加上rarita-schwinger场,以保留超对称性。由于Rarita-Schinginger场的存在,对扭转的耦合进行了修改。在这两个扩展过程中,Tulczyjew条件都会自动满足。

We derive two generalizations of Mathisson-Papapetrou-Tulczyjew-Dixon equations from Casalbuoni-Brink-Schwarz type pseudoclassical Lagrangians of Majorana spinors on a Riemann-Cartan spacetime. One has a "color" freedom, which makes the equations of motion also be a generalization of Wong equations. The other is a spinor model coupled with a Rarita-Schwinger field to preserve the supersymmetry. The coupling to the torsion is modified due to the existence of the Rarita-Schwinger field. In both extensions, the Tulczyjew condition is automatically satisfied.

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