GAUSSS LAW AND GAUGE-INVARIANT OPERATORS AND STATES IN QCD

In this work, we prove a previously published conjecture that a prescr iption we gave for constructing states that implement Gauss's law for ''pure glue'' QCD is correct. We also construct a unitary transformati on that extends this prescription so that it produces additional state s that implement Gauss's law for QCD with quarks as well as gluons. Fu rthermore, we use the mathematical apparatus developed in the course o f this work to construct gauge-invariant spinor (quark) and gauge (glu on) held operators. We adapt this SU(3) construction for the SU(2) Yan g-Mills case, and we consider the dynamical implications of these deve lopments.