Noncommutative relativistic particle on the electromagnetic background

A. A. Deriglazov

Research output: Contribution to journalArticlepeer-review

45 Citations (Scopus)


A noncommutative version of D-dimensional relativistic particle is proposed. We consider the particle interacting with the configuration space variable Θμv(τ) instead of the numerical matrix. The corresponding Poincaré invariant action has a local symmetry, which allows one to impose the gauge Θ0i = 0, Θij = const. The matrix Θij 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 languageEnglish
Pages (from-to)83-88
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1-2
Publication statusPublished - 27 Feb 2003


  • Noncommutative geometry
  • Relativistic invariance

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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