Chern-Simons Quantum Field Representation of Planar Ferromagnets

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, plain TeX, no figures

Scientific paper

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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