Phase Space Reduction and Vortex Statistics: An Anyon Quantization Ambiguity

Details Phase Space Reduction and Vortex Statistics: An Anyon Quantization Ambiguity Phase Space Reduction and Vortex Statistics: An Anyon Quantization Ambiguity

1993-04-23

arxiv.org/abs/hep-th/9304113v1

Phys.Rev. D49 (1994) 6907-6913

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, PHYZZX

Scientific paper

10.1103/PhysRevD.49.6907

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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