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 ${\mu }_0$, ${\mu }_2$ of the vacuum wave function show good scaling behavior and convergence in high order calculations.