Variational Calculation in SU(3) Lattice GaugeTheory

Using the Hamiltonian lattice gauge theory, we perform some
variational calculations to obtain the ground-state energy of SU(3) gauge field and scalar (0⁺⁺) glueball mass. The agreement of our data with the strong and weak expansion results in the corresponding limits indicates that this method can provide us reliable information in the most interesting medium region. The trial wave function used in our variational method is also proved to be a good first approximation of the ground-state of the SU(3) gauge field. Upgrading this function according to correlations of adjacent plaquettes may mean better result.