Chern - Simons Gauge Field Theory of Two - Dimensional Ferromagnets
High Energy Physics - Theory
2009-10-22 v1
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.
Keywords
Cite
@article{arxiv.hep-th/9306055,
title = {Chern - Simons Gauge Field Theory of Two - Dimensional Ferromagnets},
author = {L. Martina and O. K. Pashaev and G. Soliani},
journal= {arXiv preprint arXiv:hep-th/9306055},
year = {2009}
}
Comments
15 pages, Plain TeX, Lecce, June 1993