Chin. Phys. Lett.  2005, Vol. 22 Issue (10): 2462-2464    DOI:
Original Articles |
Self-Dual Chern--Simons Vortices in Higgs Field
DUAN Yi-Shi;ZHONG Wo-Jun;SI Tie-Yan
1Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000 1Institute of Organic Chemistry, Gannan Teachers’ College, Ganzhou 341000
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DUAN Yi-Shi, ZHONG Wo-Jun, SI Tie-Yan 2005 Chin. Phys. Lett. 22 2462-2464
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Abstract By decomposing the Bogomol’nyi self-dual equation in the Abelian Chern--Simons Higgs model, we find a self-dual topological term that was ignored all the time in the Bogomol’nyi self-duality equation due to the improper decomposition of the complex Higgs field. We also present a new self-dual equation that includes the topological term. It is shown that the self-dual vortex just arises from the symmetric phase of the Higgs field Ф=0. Using our Ф-mapping theory, the inner topological structure of the vortex and double vortex is given.

Keywords: 03.50.Kk      11.10.Kk     
Published: 01 October 2005
PACS:  03.50.Kk (Other special classical field theories)  
  11.10.Kk (Field theories in dimensions other than four)  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2005/V22/I10/02462
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