### 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 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

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

*736*, 278-282. https://doi.org/10.1016/j.physletb.2014.07.029

**Lagrangian for the Frenkel electron.** / Deriglazov, Alexei A.

Research output: Contribution to journal › Article

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

}

TY - JOUR

T1 - Lagrangian for the Frenkel electron

AU - Deriglazov, Alexei A.

PY - 2014/9/7

Y1 - 2014/9/7

N2 - 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.

AB - 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.

KW - Dirac equation

KW - Semiclassical description of relativistic spin

KW - Theories with constraints

KW - Ultrarelativistic spinning particle

UR - http://www.scopus.com/inward/record.url?scp=84907401039&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84907401039&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2014.07.029

DO - 10.1016/j.physletb.2014.07.029

M3 - Article

VL - 736

SP - 278

EP - 282

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

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

SN - 0370-2693

ER -