Non-Abelian Chern-Simons Quantum Mechanics and Non-Abelian Aharonov-Bohm Effect
High Energy Physics - Theory
2009-10-22 v1
Abstract
We construct a classical action for a system of point-like sources which carry SU(2) non-Abelian charges coupled to non-Abelian Chern-Simons gauge fields, and develop a quantum mechanics for them. Adopting the coherent state quantization and solving the Gauss' constraint in an appropriately chosen gauge, we obtain a quantum mechanical Hamiltonian given in terms of the Knizhnik-Zamolodchikov connection. Then we study the non-Abelian Aharonov-Bohm effect, employing the obtained Hamiltonian for two-particle sector. An explicit evaluation of the differential cross section for the non-Abelian Aharonov-Bohm scattering is given.
Keywords
Cite
@article{arxiv.hep-th/9312161,
title = {Non-Abelian Chern-Simons Quantum Mechanics and Non-Abelian Aharonov-Bohm Effect},
author = {Taejin Lee and Phillial Oh},
journal= {arXiv preprint arXiv:hep-th/9312161},
year = {2009}
}
Comments
32 pages, Revtex 2.0, two figures available upon request, SNUTP-93/82