Lattice Calculation of Glueball Matrix Elements

Abstract

Matrix elements of the form $<0|Tr{g}^{2}GG|G>$ 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 $12^4$ and $14^4$ lattices at ${\hat{I}}^2=5.9$ 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 non-perturbative matrix elements needed in the calculation of the partial widths of $J/\hat{I}¨$ radiative decays into glueballs.

12 pages, UK/92-05