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

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.

24, SNUTP-93-96

References in corpus (4)

• Schrödinger Fields on the Plane with $[U(1){]}^N$ Chern-Simons Interactions and Generalized Self-dual Solitons
• Operator Algebra in Chern-Simons Theory on a Torus
• On the origin of multi-component anyon wave functions
• Comment on Partition Function of Anyon Gas

Cited by in corpus (4)

• Multi-dimensional trio coherent states
• An explicit realization of fractional statistics in one dimension
• Effect of rotation symmetry to abelian Chern-Simons field theory and anyon equation on a sphere
• A Self-Dual Bogomol'nyi Formulation of the Nonlinear Schrödinger Equation