Approximated seventh order calculation of vacuum wave function of 2+1 dimensional SU(2) lattice gauge theory

Using the coupled cluster expansion with the random phase approximation, we calculate the long wavelength vacuum wave function and the vacuum energy of 2+1 dimensional Hamiltonian SU(2) lattice gauge theory (LGT) up to the seventh order. The coefficients $μ_0$, $μ_2$ of the vacuum wave function show good scaling behavior and convergence in high order calculations.

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