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Vortex Solutions of a Fermion Maxwell-Chern-Simons Theory

1998/03/28 by Jae Hyung Yee, Yee, Jae Hyung
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9803236

15 pages

arxiv created 1998/03/28 · arxiv updated 2009/11/30

Abstract

We explain how static multi-vortex solutions arise in non-linear field theories, by taking the non-linear Schrödinger 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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