# 楊-米爾斯理論

## 數學公式

$\mathcal{L}_{YM} \equiv -\frac{1}{4}(F_{\mu \nu}^i)^2$

$F_{\mu \nu}^i \equiv \partial_\mu A_\nu^i - \partial_\nu A_\mu^i + g f^{ijk}A_\mu^j A_\nu^k$

## 參考資料

1. ^ Straumann, N. On Pauli's invention of non-abelian Kaluza-Klein Theory in 1953. arXiv:gr-qc/0012054 [gr-qc]. 2000.
2. ^ See Abraham Pais' account of this period as well as L. Susskind's "Superstrings, Physics World on the first non-abelian gauge theory" where Susskind wrote that Yang-Mills was "rediscovered" only because Pauli had chosen not to publish.
3. ^ Yang, C. N.; Mills, R.. Conservation of Isotopic Spin and Isotopic Gauge Invariance. Physical Review. 1954, 96 (1): 191–195. Bibcode:1954PhRv...96..191Y. doi:10.1103/PhysRev.96.191.