Chern-Simons Solitons in Quantum Potential

Details Chern-Simons Solitons in Quantum Potential Chern-Simons Solitons in Quantum Potential

1999-06-15

arxiv.org/abs/hep-th/9906104v1

Physics

High Energy Physics

High Energy Physics - Theory

Tex, 12 pages, 3 figures

Scientific paper

The self-dual Chern-Simons solitons under the influence of the quantum potential are considered. The single-valuedness condition for an arbitrary integer number $N \ge 0$ of solitons leads to quantization of Chern-Simons coupling constant $\kappa = m {e^{2} \over g}$, and the integer strength of quantum potential $s = 1 - m^{2}$. As we show, the Jackiw-Pi model corresponds to the first member (m = 1) of our hierarchy of the Chern-Simons gauged nonlinear Schr\"odinger models, admitting self-dual solitons. New type of exponentially localized Chern-Simons solitons for the Bloch electrons near the hyperbolic energy band boundary are found.

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