FERMIONIC VORTEX SOLUTIONS IN CHERN-SIMONS ELECTRODYNAMICS

We present anyonic vortex solutions made of real electrons which could be interpreted as nontopological solitons of the (2 + 1)-dimensional Chern-Simons electrodynamics. The n-soliton solutions, which we obtain by imposing an effective axial symmetry on the (3 + 1)-dimensional quantum electrodynamics, have 4n real parameters which represent the position, size, and phase of each soliton.