TL;DR
This paper investigates contact interactions of free Schroedinger anyons, showing they do not cause scattering and relate to anomalous magnetic moments, with connections to Dirac anyons and Chern-Simons solitons.
Contribution
It establishes that free Schroedinger anyons with contact interactions do not scatter and draws analogies to anomalous magnetic moments and topological field theories.
Findings
Contact interactions of free Schroedinger anyons do not lead to scattering.
The contact interaction is analogous to the anomalous magnetic moment in fermions.
Connections are made between Schroedinger anyons, Dirac anyons, and Chern-Simons solitons.
Abstract
"Free" ( non-scattered ) Schroedinger anyons are considered. It is shown that for this special type of contact interactions scattering does not arise. By formulating the problem for the two particles system with a finite region of interaction which is then allowed to go to zero, it is established that this type of the above interactions is analog of the anomalous magnetic moment for fermions in the Aharonov-Bohm field. Finally, we consider connections with the Dirac anyon physics and Chern-Simons soliton solutions.
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