Journal
PHYSICS LETTERS B
Volume 555, Issue 1-2, Pages 83-88Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0370-2693(03)00061-3
Keywords
noncommutative geometry; relativistic invariance
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A noncommutative version of D-dimensional relativistic particle is proposed. We consider the particle interacting with the configuration space variable theta(munu)(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 a manifest form. Consistent coupling of NC relativistic particle to the electromagnetic field is constructed and discussed. (C) 2003 Published by Elsevier Science B.V.
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