Exact Ground State Wave Functions for N Anyons in a Magnetic Field on a Torus

Details Exact Ground State Wave Functions for N Anyons in a Magnetic Field on a Torus Exact Ground State Wave Functions for N Anyons in a Magnetic Field on a Torus

1993-03-22

arxiv.org/abs/hep-th/9303120v1

Mod. Phys. Lett. A8 (1993) 3173-3186

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Latex document, USITP-93-07

Scientific paper

The complete set of ground state wave functions for N anyons in an external magnetic field on the torus is found. The cases when the filling factor is less than or equal to one are considered. The single valued description of anyons is employed through out by coupling bosons to a Chern-Simons field. At the end, the Chern-Simons interaction is removed by a singular gauge transformation as a result of which the wave functions become multi-component in agreement with other studies.

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