NonAbelian Chern-Simons quantum mechanics and nonAbelian Aharonov-Bohm effect
Dec 23, 199322 pages
Published in:
- Annals Phys. 235 (1994) 413-434
e-Print:
- hep-th/9312161 [hep-th]
Report number:
- SNUTP-93-82
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Abstract: (desy)
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.Note:
- Revised version
- gauge field theory: SU(2)
- Chern-Simons term
- dimension: 3
- quantum mechanics
- quantization: constraint
- Hamiltonian formalism
- coherent state
- Aharonov-Bohm effect
- bibliography
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