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arXiv · 2204.11430

Generalized Mathisson-Papapetrou-Tulczyjew-Dixon Equations

Takayoshi Ootsuka·Ryoko Yahagi
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Abstract

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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Takayoshi Ootsuka, Ryoko Yahagi. 2022-04-25. Generalized Mathisson-Papapetrou-Tulczyjew-Dixon Equations. https://doi.org/10.1088/1361-6382%2Fac9a32

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