Abstract
In this paper, starting with the well known U(1) Chern–Simons Lagrangian and the covariant derivative of a complex scalar matter field, we give a detailed discussion of some topological properties of anyons. We show that the ‘basic’ charge carried by anyons has an inner structure and can be decomposed in terms of the Chern–Simons coupling and the gauge coupling constants of the theory. Also some incorrect results obtained in the literature are revised.
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