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equations:yang_mills_equations [2018/03/26 17:39] jakobadmin [Concrete] |
equations:yang_mills_equations [2022/02/10 16:43] (current) 2601:845:c302:8e50:4df7:1623:815b:9c99 |
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- | ====== Yang-Mills Equations: $ \quad \partial^{\mu}F_{\mu\nu}^a-gf_{abc}A^{\mu}_bF_{\mu\nu}^c=0$ ====== | + | <WRAP lag> $ \partial^{\mu}F_{\mu\nu}^a-gf_{abc}A^{\mu}_bF_{\mu\nu}^c=0$</WRAP> |
- | //see also [[theories:classical_theories:gauge_theory]] and [[advanced_tools:gauge_symmetry|]] // | + | ====== Yang-Mills Equations ====== |
- | <tabbox Intuitive> | + | //see also [[models:gauge_theory]] and [[advanced_tools:gauge_symmetry|]] // |
+ | |||
+ | <tabbox Intuitive> L=1/4g²∫TrF∧∗F | ||
<note tip> | <note tip> | ||
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- | The Euler-Lagrange equations for | + | The [[equations:euler_lagrange_equations|Euler-Lagrange equations]] for |
$\mathcal{L}=\mathcal{L}(A^{\mu},\partial^{\nu}A^{\mu})$ are | $\mathcal{L}=\mathcal{L}(A^{\mu},\partial^{\nu}A^{\mu})$ are | ||
\begin{equation} | \begin{equation} |