Vortex Solutions of a Fermion


We explain how static multi-vortex solutions arise in non-linear field theories, by taking the non-linear Schrödinger equation coupled to ChernSimons field (Jackiw-Pi model) and a fermion Chern-Simons theory as simple examples. We then construct a fermion Maxwell-Chern-Simons theory which has consistent static field equations, and show that it has the same vortex solutions as the Jackiw-Pi model, but gives rise to quite different vortex dynamics. To appear in the proceedings of ”International Workshop on Mathematical and Physical Aspacts of Nonlinear Field Theories”, 1998.

Cite this paper

@inproceedings{Theory2008VortexSO, title={Vortex Solutions of a Fermion}, author={Maxwell-Chern-Simons Theory and Jae Hyung Yee}, year={2008} }