| Spinor Decomposition of SU（2） Gauge Potential and Spinor Structures of Chern-Simons and Chern Density |
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| 引用本文： | DUANYi-Shi LIUXin FULi-Bin. Spinor Decomposition of SU（2） Gauge Potential and Spinor Structures of Chern-Simons and Chern Density[J]. 理论物理通讯, 2003, 40(4): 447-450 |
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| 作者姓名： | DUANYi-Shi LIUXin FULi-Bin |
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| 作者单位： | [1]InstituteofTheoreticalPhysics,LanzhouUniversity,Lanzhou730000,China [2]LCP,InstituteofAppliedPhysicsandComputationalMathematics,P.O.Box8009（28）,Beijing100088,China |
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| 摘 要： | In this paper, the decomposition of SU(2) gauge potential in terms of Pauli spinor is studied. Using this decomposition, the spinor structures of Chern Simons form and the Chern density are obtained. Furthermore, the knot quantum number of non-Abelian gauge theory can be expressed by the Chern-Simons spinor structure, and the second Chern number is characterized by the Hopf indices and the Brouwer degrees of Φ-mapping.
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| 关 键 词： | 旋量分解 自旋结构 泡利自旋 非阿贝尔规范理论 节量子数 规范势 |
| 收稿时间： | 2003-02-20 |
Spinor Decomposition of SU(2) Gauge Potential and Spinor Structures of Chern-Simons and Chern Density |
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| DUAN Yi-Shi,LIU Xin,FU Li-Bin. Spinor Decomposition of SU(2) Gauge Potential and Spinor Structures of Chern-Simons and Chern Density[J]. Communications in Theoretical Physics, 2003, 40(4): 447-450 |
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| Authors: | DUAN Yi-Shi LIU Xin FU Li-Bin |
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| Affiliation: | 1. Institute of Theoretical Physics, Lanzhou University,Lanzhou 730000, China;2. LCP, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009(28), Beijing 100088, China |
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| Abstract: | In this paper, the decomposition of SU(2) gauge potential in terms ofPauli spinor is studied. Using this decomposition, the spinor structures ofChern-Simons form and the Chern density are obtained. Furthermore, the knotquantum number of non-Abelian gauge theory can be expressed by theChern-Simons spinor structure, and the second Chern number is characterizedby the Hopf indices and the Brouwer degrees of φ-mapping. |
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| Keywords: | spinor SU(2) gauge potential decomposition Chern-Simons the second Chern class knot |
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