### Abstract

We consider a possibility of describing spin one-half and higher spins of massive relativistic particles by means of commuting spinors. We present two classical gauge models with the variables x^{μ}, ξα, Xα, where ξ, χ are commuting Majorana spinors. In the course of quantization both models reproduce Dirac equation. We analyze the possibility of introducing an interaction with an external electromagnetic background into the models and generalizing them to higher spin description. The first model admits a minimal interaction with the external electromagnetic field, but leads to reducible representations of the Poincaré group being generalized for higher spins. The second model turns out to be appropriate for description of the massive higher spins. However, it seems to be difficult to introduce a minimal interaction with an external electromagnetic field into this model. We compare our approach with one, which uses Grassmann variables, and establish a relation between them.

Original language | English |
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Pages (from-to) | 709-720 |

Number of pages | 12 |

Journal | Modern Physics Letters A |

Volume | 14 |

Issue number | 10-11 |

Publication status | Published - 10 Apr 1999 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Statistical and Nonlinear Physics

### Cite this

*Modern Physics Letters A*,

*14*(10-11), 709-720.

**Classical description of spinning degrees of freedom of relativistic particles by means of commuting spinors.** / Deriglazov, A. A.; Gitman, D. M.

Research output: Contribution to journal › Article

*Modern Physics Letters A*, vol. 14, no. 10-11, pp. 709-720.

}

TY - JOUR

T1 - Classical description of spinning degrees of freedom of relativistic particles by means of commuting spinors

AU - Deriglazov, A. A.

AU - Gitman, D. M.

PY - 1999/4/10

Y1 - 1999/4/10

N2 - We consider a possibility of describing spin one-half and higher spins of massive relativistic particles by means of commuting spinors. We present two classical gauge models with the variables xμ, ξα, Xα, where ξ, χ are commuting Majorana spinors. In the course of quantization both models reproduce Dirac equation. We analyze the possibility of introducing an interaction with an external electromagnetic background into the models and generalizing them to higher spin description. The first model admits a minimal interaction with the external electromagnetic field, but leads to reducible representations of the Poincaré group being generalized for higher spins. The second model turns out to be appropriate for description of the massive higher spins. However, it seems to be difficult to introduce a minimal interaction with an external electromagnetic field into this model. We compare our approach with one, which uses Grassmann variables, and establish a relation between them.

AB - We consider a possibility of describing spin one-half and higher spins of massive relativistic particles by means of commuting spinors. We present two classical gauge models with the variables xμ, ξα, Xα, where ξ, χ are commuting Majorana spinors. In the course of quantization both models reproduce Dirac equation. We analyze the possibility of introducing an interaction with an external electromagnetic background into the models and generalizing them to higher spin description. The first model admits a minimal interaction with the external electromagnetic field, but leads to reducible representations of the Poincaré group being generalized for higher spins. The second model turns out to be appropriate for description of the massive higher spins. However, it seems to be difficult to introduce a minimal interaction with an external electromagnetic field into this model. We compare our approach with one, which uses Grassmann variables, and establish a relation between them.

UR - http://www.scopus.com/inward/record.url?scp=0013073861&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0013073861&partnerID=8YFLogxK

M3 - Article

VL - 14

SP - 709

EP - 720

JO - Modern Physics Letters A

JF - Modern Physics Letters A

SN - 0217-7323

IS - 10-11

ER -