English

Topological structure of the vortex solution in Jackiw-Pi model

High Energy Physics - Theory 2014-11-18 v3

Abstract

By using ϕ\phi -mapping method, we discuss the topological structure of the self-duality solution in Jackiw-Pi model in terms of gauge potential decomposition. We set up relationship between Chern-Simons vortices solution and topological number which is determined by Hopf index and and Brouwer degree. We also give the quantization of flux in the case. Then, we study the angular momentum of the vortex, it can be expressed in terms of the flux.

Keywords

Cite

@article{arxiv.hep-th/0604138,
  title  = {Topological structure of the vortex solution in Jackiw-Pi model},
  author = {Xiguo Lee and Ziyu Liu and Yongqing Li and Yuan Gao and Yanrui Guo and Guoqing Xiao},
  journal= {arXiv preprint arXiv:hep-th/0604138},
  year   = {2014}
}

Comments

12 pages, 4 figures,Corrected typos

R2 v1 2026-07-22T15:35:46.530Z