Vortex Solutions of a Fermion Maxwell-Chern-Simons Theory

Details Vortex Solutions of a Fermion Maxwell-Chern-Simons Theory Vortex Solutions of a Fermion Maxwell-Chern-Simons Theory

1998-03-28

arxiv.org/abs/hep-th/9803236v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

We explain how static multi-vortex solutions arise in non-linear field theories, by taking the non-linear Schr\"odinger equation coupled to Chern-Simons 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.

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