Phase space reduction and vortex statistics: An anyon quantization ambiguity

Journal Article · Wed Jun 15 00:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.6907· OSTI ID:7239189

Allen, T J; Bordner, A J; Crossley, D B ^[1]

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1. Department of Physics, University of Wisconsin, 1150 University Avenue, Madison, Wisconsin 53706 (United States)

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.

• DOE Contract Number: AC02-76ER00881
• OSTI ID: 7239189
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 49:12; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GINZBURG-LANDAU THEORY
VORTICES
QUANTIZATION
PHASE SPACE
STATISTICS
MATHEMATICAL SPACE
MATHEMATICS
SPACE
661100* - Classical & Quantum Mechanics- (1992-)
661300 - Other Aspects of Physical Science- (1992-)