User:DarqFall

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Formula Tests
Special Relativity

Lagrangian
The gauge invariant QCD Lagrangian is
 * $$\mathcal{L}_\mathrm{QCD} = \bar{q}\left(i \gamma^\mu \partial_\mu - m \right) q - g \left(\bar{q} \gamma^\mu T_a q \right) G^a_\mu - \frac{1}{4}G^a_{\mu \nu} G^{\mu \nu}_a \,$$
 * where
 * $$q \,$$ is the quark field,
 * $$\gamma^\mu \,$$ are the Dirac matrices,
 * $$G^a_\mu \,$$ are the 8 gauge fields, and
 * $$T_a \,$$ are the generators of the SU(3) group.