Mass Spectrum of Pseudo-Scalar Glueballs from a Bethe–Salpeter Approach with the Rainbow–Ladder Truncation

Kaptari, L. P.; Kämpfer, B.

doi:10.1007/s00601-020-01562-4

Cited by 20 publications

(13 citation statements)

References 63 publications

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“…In this respect, it is very interesting to note that the scalar glueball predicted by lattice Yang-Mills theory long ago [1][2][3][4] and recently also within functional methods [5] seems to show up in radiative J/decays [6] with almost unchanged mass. This merits further investigation in approaches that can deal with the (anti-)quark admixtures of full QCD such as unquenched lattice calculations [7], the functional approach [5,[8][9][10][11][12][13], Hamiltonian many body methods [14,15] or chiral Lagrangians [16,17], see also [18][19][20][21][22] for reviews.…”

Section: Introductionmentioning

confidence: 99%

Higher spin glueballs from functional methods

2021

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We calculate the glueball spectrum for spin up to $$J=$$ J = 4 and positive charge parity in pure Yang–Mills theory. We construct the full bases for $$J=$$ J = 0, 1, 2, 3, 4 and discuss the relation to gauge invariant operators. Using a fully self-contained truncation of Dyson–Schwinger equations as input, we obtain ground states and first and second excited states from extrapolations of the eigenvalue curves. Where available, we find good quantitative agreement with lattice results

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Section: Introductionmentioning

confidence: 99%

Higher spin glueballs from functional methods

2021

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“…This is particularly true for glueballs due to the inherent complexity of gauge-fixed Yang-Mills theories. Some results have been reported in [15][16][17][18], but they remain on an exploratory level due to the ansaetze used for the input. An alternative approach to extract glueball masses from Landau gauge correlation functions was followed in [19,20].…”

Section: Introductionmentioning

confidence: 99%

Spectrum of scalar and pseudoscalar glueballs from functional methods

2020

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We provide results for the spectrum of scalar and pseudoscalar glueballs in pure Yang–Mills theory using a parameter-free fully self-contained truncation of Dyson–Schwinger and Bethe–Salpeter equations. The only input, the scale, is fixed by comparison with lattice calculations. We obtain ground state masses of $$1.9\,\text {GeV}$$ 1.9 GeV and $$2.6\,\text {GeV}$$ 2.6 GeV for the scalar and pseudoscalar glueballs, respectively, and $$2.6\,\text {GeV}$$ 2.6 GeV and $$3.9\,\text {GeV}$$ 3.9 GeV for the corresponding first excited states. This is in very good quantitative agreement with available lattice results. Furthermore, we predict masses for the second excited states at $$3.7\,\text {GeV}$$ 3.7 GeV and $$4.3\,\text {GeV}$$ 4.3 GeV . The quality of the results hinges crucially on the self-consistency of the employed input. The masses are independent of a specific choice for the infrared behavior of the ghost propagator providing further evidence that this only reflects a nonperturbative gauge completion.

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“…where M 880 MeV also reproduces lattice glueball spectroscopy. This hadron rest frame picture has been, with quite some labour, been extended to the covariant Dyson-Schwinger+Bethe-Salpeter approach in Landau gauge [16,17,18,19,20].…”

Section: The Gluon Constituent Picturementioning

confidence: 99%

Glueballs as the Ithaca of meson spectroscopy

Llanes-Estrada

2021

Eur. Phys. J. Spec. Top.

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This compact review about gluonium focuses on a slate of theoretical efforts; among the many standing works, I have selected several that are meant to assist in the identification, among ordinary mesons, of the few Yang-Mills glueball configurations that populate the energy region below 3 GeV. This includes J/ψ radiative and vectormeson decays, studies of scalar meson mixing, of high-energy cross sections via the Pomeron and the odderon, glueball decays, etc. The weight of accumulated evidence seems to support the f0(1710) as having a large (and the largest) glueball component among the scalars, although no single observable by itself is conclusive. Further tests would be welcome, such as exclusive fJ production at asymptotically high s and t. No clear experimental candidates for the pseudoscalar or tensor glueball stand out yet, and continuing investigations trying to sort them out will certainly teach us much more about mesons.

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Mass Spectrum of Pseudo-Scalar Glueballs from a Bethe–Salpeter Approach with the Rainbow–Ladder Truncation

Cited by 20 publications

References 63 publications

Higher spin glueballs from functional methods

Higher spin glueballs from functional methods

Spectrum of scalar and pseudoscalar glueballs from functional methods

Glueballs as the Ithaca of meson spectroscopy

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