Sizes of the Lightest Glueballs in SU(3) Lattice Gauge Theory

Loan, Mushtaq; Ying, Yi

doi:10.1143/ptp.116.169

Cited by 21 publications

(33 citation statements)

References 17 publications

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“…In addition, it is perhaps worth mentioning that some lattice studies [57] found indication that heavier glueball states tend to have better overlap with more extended (rather than more localized) operators. We do not think that these results are necessarily in contradiction with our findings, because, as we already remarked, the eigenvalue parameters that we fitted are not to be interpreted as strictly equivalent to the physical volume of each state: rather, they account for the effects of glueball interactions, and describe the effective volume of each state.…”

Section: Discussionmentioning

confidence: 99%

Excluded-volume effects for a hadron gas in Yang-Mills theory

et al. 2017

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When the multiplicities of particles produced in heavy-ion collisions are fitted to the hadron-resonancegas model, excluded-volume effects play a significant role. In this work, we study the impact of such effects on the equation of state of pure Yang-Mills theory at low temperatures, comparing the predictions of the statistical model with lattice results. In particular, we present a detailed analysis of the SU(2) and SU(3) Yang-Mills theories: we find that, for both of them, the best fits to the equilibrium thermodynamic quantities are obtained when one assumes that the volume of different glueball states is inversely proportional to their mass. The implications of these findings for QCD are discussed.

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Section: Discussionmentioning

confidence: 99%

Excluded-volume effects for a hadron gas in Yang-Mills theory

et al. 2017

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“…The lattice glueballs are compact objects, the scalar glueball has a radius of about 0.3 fm [148]. According to Forkel [149] direct instanton contributions dominate over those from perturbative fluctuations or from soft vacuum fields.…”

Section: Glueballsmentioning

confidence: 99%

Glueballs, hybrids, multiquarks

2007

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Glueballs, hybrids and multiquark states are predicted as bound states in models guided by quantum chromo dynamics (QCD), by QCD sum rules or QCD on a lattice. Estimates for the (scalar) glueball ground state are in the mass range from 1000 to 1800 MeV, followed by a tensor and a pseudoscalar glueball at higher mass. Experiments have reported evidence for an abundance of meson resonances with 0 −+ , 0 ++ and 2 ++ quantum numbers. In particular, the sector of scalar mesons is full of surprises starting from the elusive and mesons. The a 0 (980) and f 0 (980), discussed extensively in the literature, are reviewed with emphasis on their Janus-like appearance as KK molecules, tetraquark states or qq mesons. Most exciting is the possibility that the three mesons f 0 (1370), f 0 (1500), and f 0 (1710) might reflect the appearance of a scalar glueball in the world of quarkonia. However, the existence of f 0 (1370) is not beyond doubt and there is evidence that both f 0 (1500) and f 0 (1710) are flavour octet states, possibly in a tetraquark composition. We suggest a scheme in which the scalar glueball is dissolved into the wide background into which all scalar flavour-singlet mesons collapse.There is an abundance of meson resonances with the quantum numbers of the . Three states are reported below 1.5 GeV/c 2 whereas quark models expect only one, perhaps two. One of these states, (1440), was the prime glueball candidate for a long time. We show that (1440) is the first radial excitation of the meson.Hybrids may have exotic quantum numbers which are not accessible by qq mesons. There are several claims for J P C = 1 −+ exotics, some of them with properties as predicted from the flux tube model interpreting the quark-antiquark binding by a gluon string. The evidence for these states depends partly on the assumption that meson-meson interactions are dominated by s-channel resonances. Hybrids with non-exotic quantum numbers should appear as additional states. Light-quark mesons exhibit a spectrum of (squared) masses which are proportional to the sum of orbital angular momentum and radial quantum numbers. Two states do not fall under this classification. They are discussed as hybrid candidates.The concept of multiquark states has received revived interest due to new resonances in the spectrum of states with open and hidden charm. The new states are surprisingly narrow and their masses and their decay modes often do not agree with simple quark-model expectations.Lattice gauge theories have made strong claims that glueballs and hybrids should appear in the meson spectrum. However, the existence of a scalar glueball, at least with a reasonable width, is highly questionable. It is possible that hybrids will turn up in complex multibody final states even though so far, no convincing case has been made for them by experimental data. Lattice gauge theories fail to identify the nonet of scalar mesons. Thus, at the present status of approximations, lattice gauge theories seem not to provide a trustworthy guide into unknown territory ...

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“…The spectrum of stable bound states includes several glueballs with different quantum numbers J P C . Some of these glueballs have been studied in some detail in various contexts; see for example [13,14,15,16,17,18,19] and a recent review [20]. The masses of the v-glueballs are determined by the confinement scale Λ v or, equivalently, the string tension σ through the relationship m 0 ++ ≈ 7Λ v ≈ 3.7σ.…”

Section: Introductionmentioning

confidence: 99%

“…(A- 19) Therefore, there are five form factors in the J → J ′ = 2 case. The general rule to find all the form factors in the case J → J ′ case is now clear.…”

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confidence: 99%

Pure-glue hidden valleys through the Higgs portal

Juknevich¹

2010

J. High Energ. Phys.

100

152

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We consider the possibility that the Higgs boson can act as a link to a hidden sector in the context of pure-glue hidden valley models. In these models the standard model is weakly coupled, through loops of heavy messengers fields, to a hidden sector whose low energy dynamics is described by a pure-Yang-Mills theory. Such a hidden sector contains several metastable hidden glueballs. In this work we shall extend earlier results on hidden valleys to include couplings of the messengers to the standard model Higgs sector. The effective interactions at one-loop couple the hidden gluons to the standard model particles through the Higgs sector. These couplings in turn induce hidden glueball decays to fermion pairs, or cascade decays with multiple Higgs emission. The presence of effective operators of different mass dimensions, often competing with each other, together with a great diversity of states, leads to a great variability in the lifetimes and decay modes of the hidden glueballs. We find that most of the operators considered in this paper are not heavily constrained by precision electroweak physics, therefore leaving plenty of room in the parameter space to be explored by the future experiments at the LHC.

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Sizes of the Lightest Glueballs in SU(3) Lattice Gauge Theory

Cited by 21 publications

References 17 publications

Excluded-volume effects for a hadron gas in Yang-Mills theory

Excluded-volume effects for a hadron gas in Yang-Mills theory

Glueballs, hybrids, multiquarks

Pure-glue hidden valleys through the Higgs portal

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