Non-Abelian Chern-Simons Particles and their Quantization

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages, MIT preprint CTP # 2276

Scientific paper

10.1103/PhysRevD.49.6778

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 $N$--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.

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