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Chern-Simons Quantum Field Representation of Planar Ferromagnets

L. Martina·O. K. Pashaev·G. Soliani
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Abstract

We represent the two - dimensional planar classical continuous Heisenberg spin model as a constrained Chern-Simons gauged nonlinear Schrödinger 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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L. Martina, O. K. Pashaev, G. Soliani. 1994-11-16. Chern-Simons Quantum Field Representation of Planar Ferromagnets. https://arxiv.org/abs/hep-th/9411120

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