Abelian Chern-Simons field theory and anyon equation on a torus

Details Abelian Chern-Simons field theory and anyon equation on a torus Abelian Chern-Simons field theory and anyon equation on a torus

1993-12-29

arxiv.org/abs/hep-th/9312204v1

Phys.Rev. D50 (1994) 2870-2880

Physics

High Energy Physics

High Energy Physics - Theory

24, SNUTP-93-96

Scientific paper

10.1103/PhysRevD.50.2870

We quantize the abelian Chern-Simons theory coupled to non-relativistic matter field on a torus without invoking the flux quantization. Through a series of canonical transformations which is equivalent to solving the Gauss constraint, we obtain an effective hamiltonian density with periodic matter field. We also obtain the many-anyon Schr\"odinger equation with periodic Aharonov-Bohm potentials and analyze the periodic property of the wavefunction. Some comments are given on the different features of our approach from the previous ones.

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