### 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 |

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### Keywords

- Noncommutative geometry
- Relativistic invariance

### ASJC Scopus subject areas

- Nuclear and High Energy Physics