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Chern - Simons Gauge Field Theory of Two - Dimensional Ferromagnets | L. Martina
; O. K. Pashaev
; G. Soliani
; | Date: |
11 Jun 1993 | Abstract: | A Chern-Simons gauged Nonlinear Schr"odinger Equation is derived from the continuous Heisenberg model in 2+1 dimensions. The corresponding planar magnets can be analyzed whithin the anyon theory. Thus, we show that static magnetic vortices correspond to the self-dual Chern - Simons solitons and are described by the Liouville equation. The related magnetic topological charge is associated with the electric charge of anyons. Furthermore, vortex - antivortex configurations are described by the sinh-Gordon equation and its conformally invariant extension. Physical consequences of these results are discussed. | Source: | arXiv, hep-th/9306055 | Services: | Forum | Review | PDF | Favorites |
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