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Spinor Decomposition of SU(2) Gauge Potential and The Spinor Structures of Chern-Simons and Chern Density

Yi-shi Duan·Xin Liu·Li-bin Fu
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Abstract

In this paper, the decomposition of SU(2) gauge potential in terms of Pauli spinors is studied. Using this decomposition, the spinor strutures of the Chern-Simons form and the Chern density are obtained. Furthermore, by these spinor structures, the knot quantum number of non-Abelian gauge theory is discussed, and the second Chern number is characterized by the Hopf indices and the Brouwer degrees of $ϕ$-mapping.

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Yi-shi Duan, Xin Liu, Li-bin Fu. 2002-04-18. Spinor Decomposition of SU(2) Gauge Potential and The Spinor Structures of Chern-Simons and Chern Density. https://doi.org/10.1088/0253-6102%2F40%2F4%2F447

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