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Schr��dinger Fields on the Plane with $[U(1)]^N$ Chern-Simons Interactions and Generalized Self-dual Solitons
- Publication Year :
- 1993
- Publisher :
- arXiv, 1993.
-
Abstract
- A general non-relativistic field theory on the plane with couplings to an arbitrary number of abelian Chern-Simons gauge fields is considered. Elementary excitations of the system are shown to exhibit fractional and mutual statistics. We identify the self-dual systems for which certain classical and quantal aspects of the theory can be studied in a much simplified mathematical setting. Then, specializing to the general self-dual system with two Chern-Simons gauge fields (and non-vanishing mutual statistics parameter), we present a systematic analysis for the static vortexlike classical solutions, with or without uniform background magnetic field. Relativistic generalizations are also discussed briefly.<br />49 pages including 4 figures, LATEX ( three LATEX figures and one PICTEX figure), SNUTP 93-14, UMN-TH-1135
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi...........992c3897399634c10cbc0e28cc414549
- Full Text :
- https://doi.org/10.48550/arxiv.hep-th/9303131