Lattice calculation of glueball matrix elements

Matrix elements of the form 〈0|Tr g²GG|G〉 are calculated using the lattice QCD Monte Carlo method. Here, |G〉 is a glueball state with quantum numbers 0⁺⁺, 2⁺⁺, 0^-+ and G is the gluon field strength operator. The matrix elements are obtained from the hybrid correlation functions of the fuzzy and plaquette operators performed on the 12⁴ and 14⁴ lattices at β=5.9 and 5.96 respectively. These matrix elements are compared with those from the QCD sum rules and the tensor meson dominance model. They are the nonperturbative matrix elements needed in the calculation of the partial widths of J/ψ radiative decays into glueballs.