Topological structure of the solitons solution in SU(3) Dunne-Jackiw-Pi-Trugenberger model

By using C-mapping topological current theory and gauge potential decomposition, we discuss the self-dual equation and its solution in the SU(N) Dunne-Jackiw-Pi-Trugenberger model and obtain a new concrete self-dual equation with a δ function. For the SU(3) case, we obtain a new self-duality solutio...

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Bibliographic Details
Published inChinese physics C no. 3; pp. 330 - 333
Main Author 刘紫玉 向前兰 张小安 肖国青
Format Journal Article
LanguageEnglish
Published 2010
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ISSN1674-1137
0254-3052

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Summary:By using C-mapping topological current theory and gauge potential decomposition, we discuss the self-dual equation and its solution in the SU(N) Dunne-Jackiw-Pi-Trugenberger model and obtain a new concrete self-dual equation with a δ function. For the SU(3) case, we obtain a new self-duality solution and find the relationship between the soliton solution and topological number which is determined by the Hopf index and Brouwer degree of C-mapping. In our solution, the flux of this soliton is naturally quantized.
Bibliography:O431
11-5641/O4
Chern-Simons theory, Duune-Jackiw-Pi-Trugenberger model, topological number, soliton
TP393.1
ISSN:1674-1137
0254-3052