Abstract
Covariant quantization of the Nambu-Goto spinning particle in 2+1 dimensions is studied. The model is relevant in the context of recent activities in noncommutative space-time. From a technical point of view also covariant quantization of the model poses an interesting problem: the set of second class constraints (in the Dirac classification scheme) is reducible. The reducibility problem is analyzed from two contrasting approaches: (i) the auxiliary variable method and (ii) the projection operator method. Finally in the former scheme, a Batalin-Tyutin quantization has been done. This induces a mapping between the non-commutative and the ordinary space-time. The Becchi-Rouet-Stora-Tyutin (BRST) quantization program in the latter scheme has also been discussed.
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