Poincare covariant mechanics on noncommutative space

Alexei A. Deriglazov

Research output: Contribution to journalArticlepeer-review

60 Citations (Scopus)


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 Aμμ. 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
Issue number3
Publication statusPublished - 1 Mar 2003


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

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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