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

Abstract

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 μ0, μ2 of the vacuum wave function show good scaling behavior and convergence in high order calculations.

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