A new topological aspect of the arbitrary dimensional topological defects
文献类型：期刊论文
| 作者 | Jiang, Y; Duan, YS; Jiang, Y , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China. |
| 刊名 | JOURNAL OF MATHEMATICAL PHYSICS
 |
| 出版日期 | 2000 |
| 卷号 | 41期号:9页码:6463-6476 |
| 关键词 | Gauge Field-theory Bonnet-chern Density Disclination Continuum Cosmic Strings Linear Defects Dislocation Texture Monopole Connections Bifurcation |
| ISSN号 | 0022-2488 |
| 英文摘要 | 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]. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| WOS记录号 | WOS:000088944400038 |
| 公开日期 | 2012-08-29 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/12913]  |
| 专题 | 理论物理研究所_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. |
| 推荐引用方式 GB/T 7714 | 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. |
入库方式： OAI收割
来源：理论物理研究所
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