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Non-Abelian Chern–Simons models with discrete gauge groups on a lattice
- Source :
- New Journal of Physics, New Journal of Physics, 2005, 7, pp.187, New Journal of Physics, Institute of Physics: Open Access Journals, 2005, 7, pp.187
- Publication Year :
- 2005
- Publisher :
- IOP Publishing, 2005.
-
Abstract
- We construct the local Hamiltonian description of the Chern-Simons theory with discrete non-Abelian gauge group on a lattice. We show that the theory is fully determined by the phase factors associated with gauge transformations and classify all possible non-equivalent phase factors. We also construct the gauge invariant electric field operators that move fluxons around and create/anihilate them. We compute the resulting braiding properties of the fluxons. We apply our general results to the simplest class of non-Abelian groups, dihedral groups D_n.<br />16 pages, 7 figures
- Subjects :
- High Energy Physics::Lattice
Chern–Simons theory
FOS: Physical sciences
General Physics and Astronomy
Dihedral group
01 natural sciences
010305 fluids & plasmas
Superconductivity (cond-mat.supr-con)
High Energy Physics::Theory
symbols.namesake
[PHYS.COND.CM-GEN] Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other]
Gauge group
Lattice (order)
0103 physical sciences
Abelian group
010306 general physics
Condensed Matter - Statistical Mechanics
Mathematical physics
Superconductivity
Physics
Statistical Mechanics (cond-mat.stat-mech)
Condensed matter physics
Condensed Matter - Superconductivity
[PHYS.COND.CM-GEN]Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other]
symbols
Hamiltonian (quantum mechanics)
Subjects
Details
- ISSN :
- 13672630
- Volume :
- 7
- Database :
- OpenAIRE
- Journal :
- New Journal of Physics
- Accession number :
- edsair.doi.dedup.....2c531376bfe1d88b3635513f233630b1