陳-西蒙斯理論

陳-西蒙斯理論（Chern–Simons theory）以陳省身和詹姆斯·哈里斯·西蒙斯的名字命名，描述三維拓撲量子場論，在物理學有很多應用。此理論用陳-西蒙斯形式。
陳省身
陳-西蒙斯理論描述分數量子霍爾效應，導致2016年的物理諾貝爾獎。

**經典公式**
若（G，M）是主叢，M是流形，G是李群 / 規範群，A是聯絡，陳西蒙斯作用量是

F是曲率：

陳西蒙斯公式用最小作用量原理：


**陳-西蒙斯理論和紐結多項式**
三維的陳-西蒙斯理論生成很多重要的紐結多項式和紐結不變量：

**拓撲量子計算機**
是一種量子計算機。陳西蒙斯理論陳述有些Topological quantum computer的模型，例如“楊李模型”（Fibonacci model），這是最簡單的非阿貝爾任意子Topological quantum computer之一。

**參見**
 陳-西蒙斯理論是最有名的拓撲量子場論之一
*拓撲量子場論
*Wess-Zumino-Witten模型
*紐結理論

**參考文獻**

**閱讀**
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