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A new topological aspect of the arbitrary dimensional topological defects
Jiang, Y; Duan, YS; Jiang, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
2000
发表期刊JOURNAL OF MATHEMATICAL PHYSICS
ISSN0022-2488
卷号41期号:9页码:6463-6476
摘要We present a new generalized topological current in terms of the order parameter field phi to describe the arbitrary dimensional topological defects. By virtue of the phi-mapping method, we show that the topological defects are generated from the zero points of the order parameter field phi, and the topological charges of these topological defects are topological quantized in terms of the Brouwer degrees of phi-mapping under the condition that the Jacobian J(phi/upsilon) not equal 0. When J(phi/upsilon) = 0, it is shown that there exist the crucial case of branch process. Based on the implicit function theorem and the Taylor expansion, we detail the bifurcation of generalized topological current and find different directions of the bifurcation. The arbitrary dimensional topological defects are found splitting or merging at the degenerate point of field function phi but the total charge of the topological defects is still unchanged. (C) 2000 American Institute of Physics. [S0022-2488(00)01209-3].
部门归属Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; CCAST, World Lab, Beijing 100080, Peoples R China; Lanzhou Univ, Inst Theoret Phys, Lanzhou 730000, Peoples R China
关键词Gauge Field-theory Bonnet-chern Density Disclination Continuum Cosmic Strings Linear Defects Dislocation Texture Monopole Connections Bifurcation
学科领域Physics
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收录类别SCI
WOS记录号WOS:000088944400038
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被引频次:14[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/12913
专题理论物理所1978-2010年知识产出
通讯作者Jiang, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
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Jiang, Y,Duan, YS,Jiang, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.. A new topological aspect of the arbitrary dimensional topological defects[J]. JOURNAL OF MATHEMATICAL PHYSICS,2000,41(9):6463-6476.
APA Jiang, Y,Duan, YS,&Jiang, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(2000).A new topological aspect of the arbitrary dimensional topological defects.JOURNAL OF MATHEMATICAL PHYSICS,41(9),6463-6476.
MLA Jiang, Y,et al."A new topological aspect of the arbitrary dimensional topological defects".JOURNAL OF MATHEMATICAL PHYSICS 41.9(2000):6463-6476.
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