By casting the Hamiltonian of pure SU(3) in 3+1 space–time
dimensions into approximate tri-diagonal form we study the glueball spectrum
of the system. In particular we obtain estimates for the ground state energy
density, the string tension σ, and the masses of the lowest lying
0++ , 1 + - and 2
++ glueballs. These initial calculations lead to
estimates of various mass ratios in general agreement with other studies of
the spectrum.
Exact ground-state properties of SU(3) Hamiltonian lattice gauge theory