Covariantly Quantized Spinning Particle and its Possible Connection to Non-Commutative Space-Time
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 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.
Cite
@article{arxiv.hep-th/0203251,
title = {Covariantly Quantized Spinning Particle and its Possible Connection to Non-Commutative Space-Time},
author = {Subir Ghosh},
journal= {arXiv preprint arXiv:hep-th/0203251},
year = {2009}
}
Comments
Title modified, enlarged version, to appear in Phys. Rev. D