Poincare covariant mechanics on noncommutative space

Details Poincare covariant mechanics on noncommutative space Poincare covariant mechanics on noncommutative space

2002-11-12

arxiv.org/abs/hep-th/0211105v3

JHEP 0303 (2003) 021

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, JHEP style, final version

Scientific paper

10.1088/1126-6708/2003/03/021

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 $A^\mu\dot x_\mu$. 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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