### 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 |
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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 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*,

*7*(3), 431-439.

**Poincare covariant mechanics on noncommutative space.** / Deriglazov, Alexei A.

Research output: Contribution to journal › Article

*Journal of High Energy Physics*, vol. 7, no. 3, pp. 431-439.

}

TY - JOUR

T1 - Poincare covariant mechanics on noncommutative space

AU - Deriglazov, Alexei A.

PY - 2003/3/1

Y1 - 2003/3/1

N2 - 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 Aμẋ μ. Poincare invariance implies deformation of the free particle NC algebra in the interaction theory. The corresponding corrections survive in the nonrelativistic limit.

AB - 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 Aμẋ μ. Poincare invariance implies deformation of the free particle NC algebra in the interaction theory. The corresponding corrections survive in the nonrelativistic limit.

KW - Gauge Symmetry

KW - Non-Commutative Geometry

KW - Space-Time Symmetries

UR - http://www.scopus.com/inward/record.url?scp=23044508470&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=23044508470&partnerID=8YFLogxK

M3 - Article

VL - 7

SP - 431

EP - 439

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 3

ER -