Poincare covariant mechanics on noncommutative space

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_μẋ ^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

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Deriglazov, A. A. (2003). Poincare covariant mechanics on noncommutative space. Journal of High Energy Physics, 7(3), 431-439.

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