Symmetries And Noncommutativity In Particle Mechanics
نویسنده
چکیده
We discuss various symmetry properties of the reparametrization invariant toy model of a free non-relativistic particle and show that its commutativity and noncommu-tativity (NC) properties are the artifact of the underlying symmetry transformations. By exploiting the Becchi-Rouet-Stora-Tyutin (BRST) symmetry transformations, we demonstrate the existence of the NC and show its cohomological equivalence with its commutative counterpart. In this discussion, the BRST transformations for the physical quantities (e.g. space and time variables) and corresponding cohomology play very important roles.
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