We calculate Lorentz-invariant and gauge-invariant quantities characterizing the product $sum_a D_R(T^a) F^a_{mu u}$, where $D_R(T^a)$ denotes the matrix for the generator $T^a$ in the representation $R=$ fundamental and adjoint, for color SU(3). We also present analogous results for an SU(2) gauge theory.
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