Covariantly Quantized Spinning Particle and Non - Commutative Space - Time
نویسنده
چکیده
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 reducible. The reducibil-ity problem is analyzed from two contrasting approaches: (I) the auxiliary variable method [8] and (II) the projection operator method [9]. Finally in the former scheme, a Batalin-Tyutin quantization has also been done. This induces a mapping between the non-commutative and the ordinary space-time.
منابع مشابه
Covariantly Quantized Spinning Particle and Its Possible Connection to Non-commutative Space-time
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 reducible. The reducibility problem is an...
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