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arXiv · 1311.5743

Frenkel electron and a spinning body in a curved background

Walberto Guzmán Ramírez·Alexei A. Deriglazov·Andrey M. Pupasov-Maksimov
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Abstract

We develop a variational formulation of a particle with spin in a curved space-time background. The model is based on a singular Lagrangian which provides equations of motion, a fixed value of spin and Frenkel condition on spin-tensor. Comparing our equations with those of Papapetrou we conclude that the Frenkel electron in a gravitational field has the same behavior as a rotating body in the pole-dipole and leading-spin approximation. Due to constraints presented in the formulation, position space is endowed with a noncommutative structure induced by the spin of the particle. Therefore, the model provides a physically interesting example of a noncommutative particle in a curved background.

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Walberto Guzmán Ramírez, Alexei A. Deriglazov, Andrey M. Pupasov-Maksimov. 2014-03-03. Frenkel electron and a spinning body in a curved background. https://doi.org/10.1007/jhep03(2014)109

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