### Abstract

The Dirac approach to constrained systems can be adapted to construct relativistic invariant theories on a noncommutative (NC) space. As an example, we propose and discuss relativistic invariant NC particle coupled to electromagnetic (EM) field by means of the standard term A_{μ}ẋ ^{μ}. Poincare invariance implies deformation of the free particle NC algebra in the interaction theory. The corresponding corrections survive in the nonrelativistic limit.

Original language | English |
---|---|

Pages (from-to) | 431-439 |

Number of pages | 9 |

Journal | Journal of High Energy Physics |

Volume | 7 |

Issue number | 3 |

Publication status | Published - 1 Mar 2003 |

### Keywords

- Gauge Symmetry
- Non-Commutative Geometry
- Space-Time Symmetries

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

## Fingerprint Dive into the research topics of 'Poincare covariant mechanics on noncommutative space'. Together they form a unique fingerprint.

## Cite this

Deriglazov, A. A. (2003). Poincare covariant mechanics on noncommutative space.

*Journal of High Energy Physics*,*7*(3), 431-439.