Noncommutative relativistic particle

Abstract

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.

5 pages

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