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arXiv · hep-lat/9304011

Lattice Calculation of Glueball Matrix Elements

Y. Liang·K. F. Liu·B. A. Li·S. J. Dong·K. Ishikawa
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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 $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 non-perturbative matrix elements needed in the calculation of the partial widths of $J/Ψ$ radiative decays into glueballs.

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Y. Liang, K. F. Liu, B. A. Li, S. J. Dong, K. Ishikawa. 1993-04-20. Lattice Calculation of Glueball Matrix Elements. https://doi.org/10.1016/0370-2693(93)90236-b

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