Non-Abelian Chern-Simons quantum mechanics and non-Abelian Aharonov-Bohm effect
Journal Article
·
· Annals of Physics (New York)
- Kangwon National Univ., Chuncheon (Korea, Democratic People`s Republic of)
- Sung Kyun Kwan Univ., Suwon (Korea, Democratic People`s Republic of)
We construct a classical action for a system of N point-like sources which carry SU(2) non-Abelian charges coupled to non-Abelian Chern-Simons gauge fields, and we 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 a two-particle sector. An explicit evaluation of the differential cross section for the non-Abelian Aharonov-Bohm scattering is given. 48 refs., 2 figs.
- OSTI ID:
- 123460
- Journal Information:
- Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 2 Vol. 235; ISSN 0003-4916; ISSN APNYA6
- Country of Publication:
- United States
- Language:
- English
Similar Records
Non-Abelian Chern-Simons quantum mechanics
Abelian Chern-Simons field theory and the anyon equation on a torus
Two-loop analysis of non-Abelian Chern-Simons theory
Journal Article
·
Sun Feb 20 23:00:00 EST 1994
· Physical Review Letters; (United States)
·
OSTI ID:5011240
Abelian Chern-Simons field theory and the anyon equation on a torus
Journal Article
·
Mon Aug 15 00:00:00 EDT 1994
· Physical Review, D (Particles Fields); (United States)
·
OSTI ID:7271941
Two-loop analysis of non-Abelian Chern-Simons theory
Journal Article
·
Mon Dec 14 23:00:00 EST 1992
· Physical Review, D (Particles Fields); (United States)
·
OSTI ID:7158938