### Abstract

A noncommutative version of D-dimensional relativistic particle is proposed. We consider the particle interacting with the configuration space variable Θ^{μv}(τ) instead of the numerical matrix. The corresponding Poincaré invariant action has a local symmetry, which allows one to impose the gauge Θ^{0i} = 0, Θ^{ij} = const. The matrix Θ^{ij} turns out to be the noncommutativity parameter of the gauge fixed formulation. Poincaré transformations of the gauge fixed formulation are presented in a manifest form. Consistent coupling of NC relativistic particle to the electromagnetic field is constructed and discussed.

Original language | English |
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Pages (from-to) | 83-88 |

Number of pages | 6 |

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

Volume | 555 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 27 Feb 2003 |

### Fingerprint

### Keywords

- Noncommutative geometry
- Relativistic invariance

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Noncommutative relativistic particle on the electromagnetic background.** / Deriglazov, A. A.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 555, no. 1-2, pp. 83-88. https://doi.org/10.1016/S0370-2693(03)00061-3

}

TY - JOUR

T1 - Noncommutative relativistic particle on the electromagnetic background

AU - Deriglazov, A. A.

PY - 2003/2/27

Y1 - 2003/2/27

N2 - A noncommutative version of D-dimensional relativistic particle is proposed. We consider the particle interacting with the configuration space variable Θμv(τ) instead of the numerical matrix. The corresponding Poincaré invariant action has a local symmetry, which allows one to impose the gauge Θ0i = 0, Θij = const. The matrix Θij turns out to be the noncommutativity parameter of the gauge fixed formulation. Poincaré transformations of the gauge fixed formulation are presented in a manifest form. Consistent coupling of NC relativistic particle to the electromagnetic field is constructed and discussed.

AB - A noncommutative version of D-dimensional relativistic particle is proposed. We consider the particle interacting with the configuration space variable Θμv(τ) instead of the numerical matrix. The corresponding Poincaré invariant action has a local symmetry, which allows one to impose the gauge Θ0i = 0, Θij = const. The matrix Θij turns out to be the noncommutativity parameter of the gauge fixed formulation. Poincaré transformations of the gauge fixed formulation are presented in a manifest form. Consistent coupling of NC relativistic particle to the electromagnetic field is constructed and discussed.

KW - Noncommutative geometry

KW - Relativistic invariance

UR - http://www.scopus.com/inward/record.url?scp=0037468375&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037468375&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(03)00061-3

DO - 10.1016/S0370-2693(03)00061-3

M3 - Article

VL - 555

SP - 83

EP - 88

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

IS - 1-2

ER -