Glueball spectrum and matrix elements on anisotropic lattices

Oct, 2005
22 pages
Published in:
  • Phys.Rev.D 73 (2006) 014516
e-Print:
Report number:
  • UK-05-09,
  • BIHEP-TH-05-15,
  • JLAB-THY-05-456

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Abstract:
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/ψJ/\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.
  • 12.38.Gc
  • 11.15.Ha
  • 12.39.Mk
  • gauge field theory: SU(3)
  • lattice field theory
  • lattice: anisotropy
  • glueball: mass spectrum
  • gluon: operator
  • renormalization
  • error: finite size