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Topological Quantization of k-Dimensional Topological Defects and Motion Equations |
| YANG Guo-Hong1;JIANG Ying2;DUAN Yi-Shi3 |
| 1Department of Physics, Shanghai University, Shanghai
200436
2Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080
3Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000
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| Cite this article: |
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YANG Guo-Hong, JIANG Ying, DUAN Yi-Shi 2001 Chin. Phys. Lett. 18 631-633 |
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Abstract Using Ф-mapping method and kth-order topological tensor current theory, we present a unified theory of describing k-dimensional topological defects and obtain their topological quantization and motion equations. It is shown that the inner structure of the topological tensor current is just the dynamic form of the topological defects, which are generated from the zeros of the m-component order parameter vector field. In this dynamic form, the topological defects are topologically quantized naturally and the topological quantum numbers are determined by the Hopf indices and the Brouwer degrees. As the generalization of Nielsen's Lagrangian and Nambu's action for strings, the action and the motion equations of the topological defects are also derived.
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| Keywords:
11.27.+d
02.40.-k
04.20.-q
98.80.Cq
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Published: 01 May 2001
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| PACS: |
11.27.+d
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(Extended classical solutions; cosmic strings, domain walls, texture)
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02.40.-k
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(Geometry, differential geometry, and topology)
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04.20.-q
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(Classical general relativity)
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98.80.Cq
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(Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.))
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