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本文提出一种联络空间上同调的概念,建立这种上同调群与Chern-Simons型示性类系列的同态关系,给出它们在反常、Wess-Zumino有效作用与Schwinger项等问题上的应用;从而概括了Faddeev,宋行长,Zumino等人最近关于这些问题的探讨。In this paper, we define a coboundary operator acting on the cochain in gauge potential space and establish a formula about Chern-Simons coboundary. The result can be employed to obtain the non-abelian anomaly, the gauge invariant Wess-Zumino effec-tive action and the Schwinger term etc. We show that the present approach covers Fad-deev's, Song's, and Zumino's approaches.
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