Glueball Spectrum and Matrix Elements on Anisotropic Lattices

Details Glueball Spectrum and Matrix Elements on Anisotropic Lattices Glueball Spectrum and Matrix Elements on Anisotropic Lattices

2005-10-13

arxiv.org/abs/hep-lat/0510074v1

Phys.Rev.D73:014516,2006

Physics

High Energy Physics

High Energy Physics - Lattice

22 pages, 16 figures, revtex4

Scientific paper

10.1103/PhysRevD.73.014516

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 0.1fm - 0.2fm. These matrix elements are needed to predict the glueball branching ratios in $J/\psi$ 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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