### Abstract

We found Lagrangian action which describes spinning particle on the base of non-Grassmann vector and involves only one auxiliary variable. It provides the right number of physical degrees of freedom and yields generalization of the Frenkel and BMT equations to the case of an arbitrary electromagnetic field. For a particle with anomalous magnetic moment, singularity in the relativistic equations generally occurs at the speed different from the speed of light.

Original language | English |
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Pages (from-to) | 278-282 |

Number of pages | 5 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 736 |

DOIs | |

Publication status | Published - 7 Sep 2014 |

### Keywords

- Dirac equation
- Semiclassical description of relativistic spin
- Theories with constraints
- Ultrarelativistic spinning particle

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Deriglazov, A. A. (2014). Lagrangian for the Frenkel electron.

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,*736*, 278-282. https://doi.org/10.1016/j.physletb.2014.07.029