Spinor Decomposition of SU(2) Gauge Potential and Spinor Structures of Chern-Simons and Chern Density |
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| Authors: | DUAN Yi-Shi LIU Xin FU Li-bin |
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| Institution: | Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China 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 of Pauli spinor is studied. Using thisdecomposition, the spinor structures of Chern-Simons form and the Chern density are obtained. Furthermore, the knotquantum number of non-Abelian gauge theory can be expressed by the Chern-Simons spinor structure, and the secondChern number is characterized by 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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