A noncommutative version of D-dimensional relativistic particle is proposed. We consider the particle interacting with the configuration space variable Θμv(τ) instead of the numerical matrix. The corresponding Poincaré invariant action has a local symmetry, which allows one to impose the gauge Θ0i = 0, Θij = const. The matrix Θij turns out to be the noncommutativity parameter of the gauge fixed formulation. Poincaré transformations of the gauge fixed formulation are presented in a manifest form. Consistent coupling of NC relativistic particle to the electromagnetic field is constructed and discussed.
|Number of pages||6|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|Publication status||Published - 27 Feb 2003|
- Noncommutative geometry
- Relativistic invariance
ASJC Scopus subject areas
- Nuclear and High Energy Physics