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arxiv: hep-th/9411120 · v1 · submitted 1994-11-16 · ✦ hep-th

Chern-Simons Quantum Field Representation of Planar Ferromagnets

classification ✦ hep-th
keywords chern-simonsmodelplanarquantumallowinganyonsapproachclassical
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We represent the two - dimensional planar classical continuous Heisenberg spin model as a constrained Chern-Simons gauged nonlinear Schr\"odinger system. The hamiltonian structure of the model is studied, allowing the quantization of the theory by the gauge invariant approach. A preliminary study of the quantum states is displayed and several physical consequences in terms of anyons are discussed.

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