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Chern-Simons Quantum Field Representation of Planar Ferromagnets

1994/11/16 by L. Martina, O. K. Pashaev, G. Soliani
Physics and Astronomy · #hep-th

paper · pdf

published as Theor.Math.Phys. 99 (1994) 718-725; Teor.Mat.Fiz. 99N3 (1994) 450-461 · 11 pages, plain TeX, no figures

arxiv created 1994/11/16 · arxiv updated 2009/11/30

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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