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.

Original languageEnglish (US)
Pages (from-to)6907-6913
Number of pages7
JournalPhysical Review D
Volume49
Issue number12
DOIs
StatePublished - Jan 1 1994

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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