Abstract
We solve for the exact ground state of SU(3) Hamiltonian lattice gauge theory via the guided-random-walk algorithm. We show that the algorithm is effective in calculating the ground-state energy with excellent precision. By comparing exact and variational ground-state results in the case of SU(2) and SU(3), we further demonstrate that variational calculations based on the independent-plaquette trial function improve with increasing N from N=2 to N=3.
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