Anyonization of lattice Chern-Simons theory

We formulate Hamiltonian lattice Chern-Simons theory which has the property that the Chern-Simons gauge fields of the theory can be eliminated by making matter fields multivalued operators with anyonic statistics. We prove that, when the statistics parameter is an odd integer so that the anyons are...

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Veröffentlicht in:	Annals of physics 1992-07, Vol.217 (1), p.66-104
Hauptverfasser:	Eliezer, D, Semenoff, G.W
Format:	Artikel
Sprache:	eng
Schlagworte:	ANYONS BOSONS DIMENSIONS ENERGY LEVELS Exact sciences and technology FERMIONS FIELD THEORIES GAUGE INVARIANCE GROUND STATES HALL EFFECT HAMILTONIANS INVARIANCE PRINCIPLES LATTICE FIELD THEORY MAGNETIC FLUX MATHEMATICAL OPERATORS MATHEMATICS Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS QUANTUM FIELD THEORY QUANTUM OPERATORS QUASI PARTICLES 662110 > General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-) Statistical physics, thermodynamics, and nonlinear dynamical systems STATISTICS SUPERFLUIDITY SYMMETRY BREAKING
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