Frenkel electron and a spinning body in a curved background

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

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We develop a variational formulation of a particle with spin in a curved spacetime 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. Open Access,

Original languageEnglish
Article number109
JournalJournal of High Energy Physics
Volume2014
Issue number3
DOIs
Publication statusPublished - 1 Jan 2014

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metal spinning
electrons
rotating bodies
formulations
gravitational fields
equations of motion
poles
tensors
dipoles
approximation

Keywords

  • Classical Theories of Gravity
  • Non-Commutative Geometry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Ramírez, W. G., Deriglazov, A. A., & Pupasov-Maksimov, A. M. (2014). Frenkel electron and a spinning body in a curved background. Journal of High Energy Physics, 2014(3), [109]. https://doi.org/10.1007/JHEP03(2014)109

Frenkel electron and a spinning body in a curved background. / Ramírez, Walberto Guzmán; Deriglazov, Alexei A.; Pupasov-Maksimov, Andrey M.

In: Journal of High Energy Physics, Vol. 2014, No. 3, 109, 01.01.2014.

Research output: Contribution to journalArticle

Ramírez, WG, Deriglazov, AA & Pupasov-Maksimov, AM 2014, 'Frenkel electron and a spinning body in a curved background', Journal of High Energy Physics, vol. 2014, no. 3, 109. https://doi.org/10.1007/JHEP03(2014)109
Ramírez, Walberto Guzmán ; Deriglazov, Alexei A. ; Pupasov-Maksimov, Andrey M. / Frenkel electron and a spinning body in a curved background. In: Journal of High Energy Physics. 2014 ; Vol. 2014, No. 3.
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