Noncommutative relativistic particle on the electromagnetic background

Details Noncommutative relativistic particle on the electromagnetic background Noncommutative relativistic particle on the electromagnetic background

2002-08-27

arxiv.org/abs/hep-th/0208201v3

Phys.Lett. B555 (2003) 83-88

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTex file, misprints corrected

Scientific paper

10.1016/S0370-2693(03)00061-3

Noncommutative version of D-dimensional relativistic particle is proposed. We consider the particle interacting with the configuration space variable $\theta^{\mu\nu}(\tau)$ instead of the numerical matrix. The corresponding Poincare invariant action has a local symmetry, which allows one to impose the gauge $\theta^{0i}=0, ~ \theta^{ij}=const$. The matrix $\theta^{ij}$ turns out to be the noncommutativity parameter of the gauge fixed formulation. Poincare transformations of the gauge fixed formulation are presented in the manifest form. Consistent coupling of NC relativistic particle to the electromagnetic field is constructed and discussed.

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