Poincare covariant mechanics on noncommutative space

Alexei A. Deriglazov

Research output: Contribution to journal › Article

6 Citations (Scopus)

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

Original languageEnglish
Pages (from-to)431-439
Number of pages9
JournalJournal of High Energy Physics
Volume7
Issue number3
Publication statusPublished - 1 Mar 2003

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invariance
electromagnetic fields
algebra
interactions

Keywords

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

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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

In: Journal of High Energy Physics, Vol. 7, No. 3, 01.03.2003, p. 431-439.

Research output: Contribution to journal › Article

Deriglazov, AA 2003, 'Poincare covariant mechanics on noncommutative space', Journal of High Energy Physics, vol. 7, no. 3, pp. 431-439.
Deriglazov AA. Poincare covariant mechanics on noncommutative space. Journal of High Energy Physics. 2003 Mar 1;7(3):431-439.
Deriglazov, Alexei A. / Poincare covariant mechanics on noncommutative space. In: Journal of High Energy Physics. 2003 ; Vol. 7, No. 3. pp. 431-439.
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