Coherent State Quantization of SU(N) Non-Abelian Chern-Simons Particles

Details Coherent State Quantization of SU(N) Non-Abelian Chern-Simons Particles Coherent State Quantization of SU(N) Non-Abelian Chern-Simons Particles

1993-07-29

arxiv.org/abs/hep-th/9307178v1

Phys.Lett. B319 (1993) 497-504

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex File, SNUTP-93-42

Scientific paper

10.1016/0370-2693(93)91757-E

We present a new method of formulating the classical theory of $SU(N+1)$
non-Abelian Chern-Simons (NACS) particles for arbitrary $N\geq 1$ using the
symplectic reduction of $CP(N)$ manifold from $S^{2N+1}$. Quantizing the theory
using BRST formulation and coherent state path integral method , we obtain a
quantum mechanical model for $SU(N+1)$ NACS particles.

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