Color-singlet confinement in chromostatics

By constructing explicit projection operators for the $\mathrm{Su}\mathrm{}\left(n\right)\mathrm{}$ configurations of quark-antiquark ($q\overline{q}$) and quark-quark ($\mathrm{qq}$) systems, we demonstrate that confinement occurs in the color-singlet state, while the ($n^2-1\mathrm{}$)-plet of ($q\overline{q}$) and both the $\left(\frac{1}{2}\right)n(n+1\mathrm{})\mathrm{}$-plet and the $\left(\frac{1}{2}\right)n(n+1\mathrm{})\mathrm{}$-plet of $\mathrm{qq}$ have infinite energy and are hence decoupled from the spectrum.