NonAbelian Chern-Simons particles and their quantization
Jan, 199417 pages
Published in:
- Phys.Rev.D 49 (1994) 6778-6786
e-Print:
- hep-th/9402057 [hep-th]
Report number:
- MIT-CTP-2276
Citations per year
Abstract: (arXiv)
A many--body Schr\"odinger equation for non--Abelian Chern--Simons particles is obtained from both point--particle and field--theoretic pictures. We present a particle Lagrangian and a field theoretic Lagrange density, and discuss their properties. Both are quantized by the symplectic method of Hamiltonian reduction. An --body Schr\"odinger equation for the particles is obtained from both starting points. It is shown that the resulting interaction between particles can be replaced by non--trivial boundary conditions. Also, the equation is compared with the one given in the literature.Note:
- 18 pages, MIT preprint CTP # 2276
- gauge field theory: Yang-Mills
- Chern-Simons term
- dimension: 3
- charged particle
- quantization
- Hamiltonian formalism
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