Glueball spectrum and matrix elements on anisotropic lattices

By Y. S. Chen, A. Alexandru, S. Dong, T. Draper, Iván Horvath, F. Lee, K. Liu, N. Mathur, C. Morningstar, M. Peardon and 3 more. 2005

476 citations recorded by the source corpus.

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/{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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5cc12f164610451f190dfe16cb1ca3372cffe782

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Citations in the corpus

Holographic models for QCD in the Veneziano limit (2011, background): “These are limited to one for each spin 0 species, and none for the spin 2, in the study of [63], which is the one we use for our comparison.”
Thermal transport and drag force in improved holographic QCD (2009, background): “For a typical value of σc ∼ (440 MeV )(2) [53] we find ls = 0.”
Pentaquark and Tetraquark States (2019, methodology): “For the numerical analyses, they used the tadpole-improved gauge action [658, 659, 660] to generate gauge configurations on anisotropic lattices.”
Improved Holographic QCD (2010, background): “The results for the parity-conserving sector are shown in Table 1, and are in good agreement with those reported by [61] for Nc = 3, whereas the results reported by [62] for large Nc are somewhat larger.”
Improved holographic Yang–Mills at finite temperature: Comparison with data (2009, background): “Our mass ratios offer a somewhat worse fit of the mass ratios found in [30] (whose results are not entirely compatible with those of [28] for the states the two studies have in common).”
Expression of interest for the CODEX-b detector (2019, background): “We consider the scenario in which the b′ mass is heavier than the dark SU(3) confinement scale, Λ′, such that the lightest state in the hadronic spectrum is the 0 glueball [113, 114], with a mass m0 ≈ 6.”
Precision SU(3) lattice thermodynamics for a large temperature range (2012, result): “ the glueball resonance model (note that the hadron resonance gas model works very well for full QCD [9,41]). In Fig.3we plot our results together with the contribution of the rst twelve glueballs of [42]. There is an apparent decit of the model prediction as compared to the lattice results. It has ”
Towards the glueball spectrum from unquenched lattice QCD (2012, background): “[3] from a quenched lattice QCD calculation in the continuum limit.”
The Status of Glueballs (2013, background): “[19] at a lattice spacing of around a = 0.”
Transport properties of the quark-gluon plasma (2011, background): “ ≡ρ(ω,T)−ρ(ω,0) is still positive for ω<m. The lightest two scalar glueball (G) masses are known quite well, and also the matrix element fG ≡hvac|O⋆|Gifor the lightest glueball has been calculated [190,191]. Therefore is would be desirable to compensate for these contributions by forming ∆ρ(ω,T)+”
The experimental status of glueballs (2008, unknown): “Figure used with permission from reference [32].”