# Chern-Simons vortices

@article{Duval1997ChernSimonsV,
title={Chern-Simons vortices},
author={Christian Duval and P. A. Horvathy},
journal={arXiv: High Energy Physics - Theory},
year={1997}
}
• Published 2 July 2003
• Physics
• arXiv: High Energy Physics - Theory
In (2+1) dimensions, the Maxwell term $-(1/4) F_{\alpha\beta}F^{\alpha\beta}$ can be replaced by the Chern-Simons three-form $(\kappa/4)\epsilon^{\alpha\beta\gamma}A_\alpha F_{\beta\gamma}$, yielding a novel type of electromagnetism'. This has been proposed for studying the Quantum Hall Effect as well as High-Temperature Superconductivity. The gauge field can be coupled to a scalar field either relativistically or non-relativistically. In both cases, one admits finite-energy, vortex solutions.
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