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

LIU Zi-Yu; XIANG Qian-Lan; ZHANG Xiao-An; XIAO Guo-Qing

doi:10.1088/1674-1137/34/3/005

Chinese Physics C> 2010, Vol. 34> Issue(3) : 330-333 DOI: 10.1088/1674-1137/34/3/005

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

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Abstract：
By using φ-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 φ-mapping. In our solution, the flux of this soliton is naturally quantized.

References

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LIU Zi-Yu, XIANG Qian-Lan, ZHANG Xiao-An and XIAO Guo-Qing. Topological structure of the solitons solution in SU(3) Dunne-Jackiw-Pi-Trugenberger model[J]. Chinese Physics C, 2010, 34(3): 330-333. doi: 10.1088/1674-1137/34/3/005

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Received: 2009-04-22
Revised: 2009-06-22

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沈阳化工大学材料科学与工程学院沈阳 110142

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

Corresponding author: XIAO Guo-Qing,

Received Date: 2009-04-22
Accepted Date: 2009-06-22
Available Online: 2010-03-05

Abstract:

By using φ-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 φ-mapping. In our solution, the flux of this soliton is naturally quantized.