| Vector and Spinor Decomposition of SU（2） Gauge Potential, Their Equivalence, and Knot Structure in SU（2） Chern-Simons Theory |
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| 作者姓名： | DUAN Yi-Shi REN Ji-Rong LI Ran |
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| 作者单位： | Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China |
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| 基金项目： | ＊The project supported by National Natural Science Foundation of China and the Doctoral Foundation of the Ministry of Education of China |
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| 摘 要： | In this paper, spinor and vector decompositions of SU（2） gauge potential are presented and their equivalence is constructed using a simply proposal. We also obtain the action of Faddeev nonlinear 0（3） sigma model from the SU（2） mass/ve gauge field theory, which is proposed according to the gauge invariant principle. At last, the knot structure in SU（2） Chern-Simons filed theory is discussed in terms of the Φ-mapping topological current theory, The topological charge of the knot is characterized by the Hopf indices and the Brouwer degrees of Φ-mapping.
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| 关 键 词： | SU（2）规范势 矢量 张量 分解 等价性 纽结结构 SU（2）陈-赛蒙斯理论 |
| 收稿时间： | 2006-07-05 |
| 修稿时间： | 2006-07-052006-09-11 |
Vector and Spinor Decomposition of SU(2) Gauge Potential, Their Equivalence, and Knot Structure in SU(2) Chern-Simons Theory |
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| DUAN Yi-Shi REN Ji-Rong LI Ran.Vector and Spinor Decomposition of SU(2) Gauge Potential, Their Equivalence, and Knot Structure in SU(2) Chern-Simons Theory[J].Communications in Theoretical Physics,2007,47(5):875-878. |
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| Authors: | DUAN Yi-Shi REN Ji-Rong LI Ran |
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| Institution: | Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China |
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| Abstract: | In this paper, spinor and vector decompositions of SU(2) gauge potential
are presented and their equivalence is constructed using a simply proposal.
We also obtain the action of Faddeev nonlinear O(3) sigma model from the
SU(2) massive gauge field theory, which is proposed according to the gauge
invariant principle. At last, the knot structure in SU(2) Chern-Simons filed
theory is discussed in terms of the φ-mapping topological current
theory. The topological charge of the knot is characterized by the Hopf
indices and the Brouwer degrees of φ-mapping. |
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| Keywords: | SU(2) gauge potential decomposition massive gauge theory Chern-Simons knot |
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