Frenkel electron and a spinning body in a curved background

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

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


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
Issue number3
Publication statusPublished - 1 Jan 2014


  • Classical Theories of Gravity
  • Non-Commutative Geometry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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