Covariantly Quantized Spinning Particle and its Possible Connection to Non-Commutative Space-Time

Details Covariantly Quantized Spinning Particle and its Possible Connection to Non-Commutative Space-Time Covariantly Quantized Spinning Particle and its Possible Connection to Non-Commutative Space-Time

2002-03-27

arxiv.org/abs/hep-th/0203251v2

Phys.Rev. D66 (2002) 045031

Physics

High Energy Physics

High Energy Physics - Theory

Title modified, enlarged version, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.66.045031

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 non-commutative 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 {\it reducible}. The reducibility problem is analyzed from two contrasting approaches: (i) the auxiliary variable method [bn] and (ii) the projection operator method [blm]. 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. BRST quantization programme in the latter scheme has also been discussed.

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