We calculate Lorentz-invariant and gauge-invariant quantities characterizing the product $\sum _a{D}_R(T^a)F_{\mu \nu }^a$, where $D_R(T^a)$ denotes the matrix for the generator $T^a$ in the representation $R=\mathrm{\text{fundamental}}$ and adjoint, for color SU(3). We also present analogous results for an SU(2) gauge theory.

• Received 17 November 2007

DOI:https://doi.org/10.1103/PhysRevD.77.045008