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arXiv · hep-th/9402057

Non-Abelian Chern-Simons Particles and their Quantization

Dongsu Bak·R. Jackiw·So-Young Pi
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Abstract

A many--body Schrödinger 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 $N$--body Schrödinger 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.

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Dongsu Bak, R. Jackiw, So-Young Pi. 1994-02-09. Non-Abelian Chern-Simons Particles and their Quantization. https://doi.org/10.1103/physrevd.49.6778

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