Chen, Y., Alexandru, A., Dong, S. J., Draper, T., Hováth, I., Lee, F. X., Liu, K. F., Mathur, N., Morningstar, C., Peardon, M., Tamhankar, S., Young, B. L., Zhang, J. B. ‘Glueball spectrum and matrix elements on anisotropic lattices’ in Physical Review D, 73, 2006, pp 014516-1 - 014516-21
Physical Review D 73
The glueball-to-vacuum matrix elements of local gluonic operators in scalar, tensor, and pseudoscalar
channels are investigated numerically on several anisotropic lattices with the spatial lattice spacing
ranging from 0.1–0.2 fm. These matrix elements are needed to predict the glueball branching ratios in J=
radiative decays which will help identify the glueball states in experiments. Two types of improved local
gluonic operators are constructed for a self-consistent check and the finite-volume effects are studied. We
find that lattice spacing dependence of our results is very weak and the continuum limits are reliably
extrapolated, as a result of improvement of the lattice gauge action and local operators. We also give
updated glueball masses with various quantum numbers.
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