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arXiv · hep-th/9304113

Phase Space Reduction and Vortex Statistics: An Anyon Quantization Ambiguity

Theodore J. Allen·Andrew J. Bordner·Dennis B. Crossley
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Abstract

We examine the quantization of the motion of two charged vortices in a Ginzburg--Landau theory for the fractional quantum Hall effect recently proposed by the first two authors. The system has two second-class constraints which can be implemented either in the reduced phase space or Dirac-Gupta-Bleuler formalism. Using the intrinsic formulation of statistics, we show that these two ways of implementing the constraints are inequivalent unless the vortices are quantized with conventional statistics; either fermionic or bosonic.

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Theodore J. Allen, Andrew J. Bordner, Dennis B. Crossley. 1993-04-23. Phase Space Reduction and Vortex Statistics: An Anyon Quantization Ambiguity. https://doi.org/10.1103/physrevd.49.6907

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