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arXiv · hep-th/0211105

Poincare covariant mechanics on noncommutative space

A. A. Deriglazov
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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 field by means of the standard term $A^μ\dot x_μ$. Poincare invariance implies deformation of the free particle NC algebra in the interaction theory. The corresponding corrections survive in the nonrelativistic limit.

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A. A. Deriglazov. 2003-03-15. Poincare covariant mechanics on noncommutative space. https://doi.org/10.1088/1126-6708%2F2003%2F03%2F021

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