Phase space reduction and vortex statistics

An anyon quantization ambiguity

Theodore J. Allen, Andrew J. Bordner, Dennis B. Crossley

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 - 1994
Externally publishedYes

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ambiguity
statistics
vortices
quantum Hall effect
formalism
formulations

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Phase space reduction and vortex statistics : An anyon quantization ambiguity. / Allen, Theodore J.; Bordner, Andrew J.; Crossley, Dennis B.

In: Physical Review D, Vol. 49, No. 12, 1994, p. 6907-6913.

Research output: Contribution to journalArticle

Allen, Theodore J. ; Bordner, Andrew J. ; Crossley, Dennis B. / Phase space reduction and vortex statistics : An anyon quantization ambiguity. In: Physical Review D. 1994 ; Vol. 49, No. 12. pp. 6907-6913.
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