Lattice calculation of glueball matrix elements

Liang, Yigao; Liu, K.F.; Li, B.A.; Dong, Shao-Jing; Ishikawa, Kenzo

doi:10.1016/0370-2693(93)90236-b

Cited by 23 publications

(23 citation statements)

References 47 publications

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“…1 [11] shows that g L A at large κ values of 0.154 and 0.155 for the local current are at 1.36(4) and 1.39 (14). Our result of 1.47 (18) for κ = 0.154 is compatible with these and is also in agreement with the earlier calculation with a renormalization improved Wilson action [10].…”

supporting

confidence: 91%

Nucleon axial form factor from lattice QCD

et al. 1994

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Results for the isovector axial form factors of the proton from a lattice QCD calculation are presented for both point-split and local currents. They are obtained on a quenched 16 3 × 24 lattice at β = 6.0 with Wilson fermions for a range of quark masses from strange to charm. For each quark mass, we find that the axial form factor falls off slower than the corresponding proton electric form factor. Results extrapolated to the chiral limit show that the q 2 dependence of the axial form factor agrees reasonably well with experiment. The axial coupling constant g A calculated for the local and the point-split currents is about 6% and 12% smaller than the experimental value respectively.

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supporting

confidence: 91%

Nucleon axial form factor from lattice QCD

et al. 1994

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“…where P SU (3) denotes the projection [8] into SU (3). Here, we denote this mapping of the spatial link matrices into the smeared link variables by s λs .…”

Section: Glueball Simulation Detailsmentioning

confidence: 99%

Efficient glueball simulations on anisotropic lattices

1997

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Monte Carlo results for the low-lying glueball spectrum using an improved, anisotropic action are presented. Ten simulations at lattice spacings ranging from 0.2 to 0.4 fm and two different anisotropies have been performed in order to demonstrate the advantages of using coarse, anisotropic lattices to calculate glueball masses. Our determinations of the tensor (2 ϩϩ ) and pseudovector (1 ϩϪ ) glueball masses are more accurate than previous Wilson action calculations. ͓S0556-2821͑97͒00419-0͔

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“…Glueball transition matrix elements were calculated first in SU2 [5] and SU3 [6,7] gauge theories with Wilson gauge action on isotropic lattice. In the calculation of glueballs, it is known that very large statistics are necessary in order for the correlation functions of gluonic operators to be measured precisely by Monte Carlo simulation.…”

Section: Introductionmentioning

confidence: 99%

Glueball spectrum and matrix elements on anisotropic lattices

et al. 2006

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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/ψ 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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Lattice calculation of glueball matrix elements

Cited by 23 publications

References 47 publications

Nucleon axial form factor from lattice QCD

Nucleon axial form factor from lattice QCD

Efficient glueball simulations on anisotropic lattices

Glueball spectrum and matrix elements on anisotropic lattices

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