English

Vortex Solutions of a Fermion Maxwell-Chern-Simons Theory

High Energy Physics - Theory 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9803236,
  title  = {Vortex Solutions of a Fermion Maxwell-Chern-Simons Theory},
  author = {Jae Hyung Yee},
  journal= {arXiv preprint arXiv:hep-th/9803236},
  year   = {2007}
}

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15 pages