Communications in Theoretical Physics

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Topological Structure of Vortex Solution in Jackiw-Pi Model

LI Xi-Guo,1,3 LIU Zi-Yu,1,2 LI Yong-Qing,1,2 GAO Yuan,1,2 GUO Yan-Rui,1,2 and XIAO Guo-Qing1   


  1. 1 Institute of Modern Physics, the Chinese Academy of Sciences, P.O. Box 31, Lanzhou 730000, China
    2 Graduate School, the Chinese Academy of Sciences, Beijing 100049, China
    3 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Collisions, Lanzhou 730000, China
  • Received: 2006-08-15 Revised: 2006-10-27 Published: 2007-07-15

Abstract: By using φ-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 vortex solution and topological number, which is determined by Hopf index and Brouwer degree. We also give the quantization of flux in this case. Then, we study the angular momentum of the vortex, which can be expressed in terms of the flux.

Key words: topological structure, vortex, Jackiw-Pi model

PACS numbers: 

  • 11.15.-q