Quantum chromodynamics for static $c$-number sources is studied nonperturbatively using the canonical formalism with $A^0=0\mathrm{}$. Solutions to the functional differential homogeneous Gauss-law equation are found and the issue of Gauss-law constraints on the state vector is approached by transforming to a set of curvilinear gauge-invariant coordinates. When $\hslash$ is small, but finite, collective oscillations of the gluon field about a mean field are found. An illustrative example of a single color charge source is considered.

• Received 25 March 1983

DOI:https://doi.org/10.1103/PhysRevD.28.965