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arXiv · hep-th/9312204

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

Kyung-Hyun Cho·Chaiho Rim
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Abstract

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 Schrödinger 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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Kyung-Hyun Cho, Chaiho Rim. 1993-12-29. Abelian Chern-Simons field theory and anyon equation on a torus. https://doi.org/10.1103/physrevd.50.2870

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