Abstract
Using the coupled cluster expansion with the random phase approximation, we calculate the long wavelength vacuum wave function and the vacuum state energy of $2+1$ dimensional Hamiltonian SU(2) lattice gauge theory up to the seventh order. The coefficients ${\ensuremath{\mu}}_{0}$, ${\ensuremath{\mu}}_{2}$ of the vacuum wave function show good scaling behavior and convergence in high order calculations.
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