Fluid dynamics, Chern-Simons theory and the quantum Hall effect
Jan 22, 199124 pages
Published in:
- Int.J.Mod.Phys.B 5 (1991) 2735-2750
Report number:
- SU-ITP-874
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Abstract: (WSP)
In this paper we show that classical fluid dynamics in a plane is a gauge theory useful for studying aspects of the quantum Hall system. When the fluid is charged and placed in a magnetic field, Chern-Simons fields appear naturally and the fractional statistics of vortex excitations can be understood qualitatively. Applying the fluid picture to a gas of anyons shows that it superconducts.- model: fluid
- gauge field theory
- Hall effect: fractional
- Chern-Simons term
- statistics: fractional
- postulated particle: anyon
- superconductivity
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