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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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| Cite this article: |
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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.
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03.50.Kk
11.10.Kk
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Published: 01 October 2005
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| PACS: |
03.50.Kk
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(Other special classical field theories)
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11.10.Kk
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(Field theories in dimensions other than four)
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