Generalized Mathisson-Papapetrou-Tulczyjew-Dixon Equations

Autor: Ootsuka, Takayoshi, Yahagi, Ryoko
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1088/1361-6382/ac9a32
Popis: 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.
Comment: 11 pages
Databáze: arXiv