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We solve the local Gauss law in lattice QCD in the presence of mattercharges. This corresponds to constructing singlet states using Schwinger Bosonsand Fermions of SU(3) group at each vertex of the lattice. We also calculatethe action of various invariant operators on these states required for studyingthe dynamics.

Gauss law at a vertex in Lattice QCD and its gauge invariant Hilbert space