Work

Non-Abelian Chern-Simons particles and their quantization

Year: 1994
Type: article
Abstract: 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 nontrivial boundary conditions. Also, the equation is compared with the one given in the literature.
Language: English
Open Access status: green
OpenAlex ID: W2016357691
FWCI: 3.417
Cites: 33
Cited by: 44
Related to: 10