Color dependence of tensor and scalar glueball masses in Yang-Mills theories

Bennett, Ed; Holligan, Jack; Hong, Deog Ki; Lee, Jong-Wan; Lin, C.-J. David; Lucini, Biagio; Piai, Maurizio; Vadacchino, Davide

doi:10.1103/physrevd.102.011501

Cited by 48 publications

(101 citation statements)

References 54 publications

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“…This is consistent with the result of Ref. [131], where the authors summarized the dependence on the gauge group and fermionic representation of the same quantity using all existing lattice data [80,[132][133][134][135][136][137][138]. They pointed out that it is almost constant up to a trivial factor that depends on the dimensionality of the fermion fields -√ N c for SU (N c ).…”

Section: Meson Spectrumsupporting

confidence: 85%

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The large $$N_{c}$$ limit of QCD on the lattice

Hernández

Romero-López

2021

Eur. Phys. J. A

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We review recent progress in the study of the large limit of gauge theories from lattice simulations. The focus is not only the planar limit but also the size of corrections for values of . Some concrete examples of the topics we include are tests of large- factorization, the topological susceptibility, the glueball, meson and baryon spectra, the chiral dependence of masses and decay constants, and weak matrix elements related to the rule in kaon decays.

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Section: Meson Spectrumsupporting

confidence: 85%

“…Thus, the results in Refs. [ 114 , 115 ] are also relevant for the large limit of QCD. A confirmation of the expectation, supported by the data, is that the ratio of masses for the tensor and scalar glueball seems to be independent of the gauge group.…”

Section: Yang-mills Theories At Largementioning

confidence: 99%

The large $$N_{c}$$ limit of QCD on the lattice

Hernández

Romero-López

2021

Eur. Phys. J. A

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“…(6.5) to the extent that i) our models match the GPPZ model [58] for some specific choices of the parameters, as explained below eqs. (4.13) and (4.22), and ii) it has been observed [113] that the lattice results agree well with GPPZ, which predicts the ratio corresponding to eq. (6.5) to be 1/ √ 2 0.71 [115].…”

Section: Jhep03(2021)182supporting

confidence: 65%

“…We close our comparison with lattice by considering very recent results [113,114] for the scalar and tensor glueball masses in the Sp(2N C ) model, for different N C values, where extrapolation to large N C is also provided. The glueball masses in [113,114] are obtained in units of the string tension of the pure Yang-Mills theory. In order to compare with our holographic results, we rather quote the lattice result for the ratio of glueball masses.…”

Section: Jhep03(2021)182mentioning

confidence: 66%

Holographic models of composite Higgs in the Veneziano limit. Part I. Bosonic sector

Elander

Frigerio

Knecht

et al. 2021

J. High Energ. Phys.

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We study strongly-coupled, approximately scale-invariant gauge theories, which develop a mass gap in the infrared. We argue that a large number of fermion flavours is most suitable to provide an ultraviolet completion for the composite Higgs scenario. The holographic approach allows to describe the qualitative features of the non-perturbative dynamics in the Veneziano limit. We introduce new bottom-up holographic models, which incorporate the backreaction of flavour on the geometry, and show that this can correlate the mass gap to the scale of flavour-symmetry breaking. We compute the mass spectrum for the various composite bosonic states, and study its dependence on the scaling dimension of the symmetry-breaking operators, as well as on the number of flavours. The different regions with a light dilaton are critically surveyed. We carefully assess the domain of validity of the holographic approach, and compare it with lattice simulations and the Nambu-Jona-Lasinio model.

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“…Moreover, calculation for different values of N c are available on the lattice [13][14][15][16][17][18], from which the N c → ∞ limit can be extrapolated. Lattice calculations also show that if fermions are introduced, unquenching the theory, the values of the glueball masses will only vary by a little [19], so that the pure glue values can be viewed as reasonable approximations for the masses in QCD and experiments.…”

Section: Introductionmentioning

confidence: 99%

Pseudoscalar glueballs in the Klebanov-Strassler theory

Melnikov

Filho

2021

J. High Energ. Phys.

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In this paper we describe a pseudoscalar subsector of the Klebanov-Strassler model. This subsector completes the holographic reconstruction of the spectrum of the lowest-lying glueball states, which are singlet under the global symmetry group SU(2) × SU(2). We derive the linearized supergravity equations for the pseudoscalar fluctuations and analyze their spectrum. The system of equations is shown to be compatible with six eigenmodes, as expected from supersymmetry. Our numerical analysis allows to reliably extract four of the corresponding towers. Their values match well the eigenvalues of the 0++ scalar states known from an earlier work. Assuming the masses of 0++ as a reference, we compare the lightest states of the holographic spectrum with lattice calculations in the quenched QCD at Nc = 3 and Nc = ∞.

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Color dependence of tensor and scalar glueball masses in Yang-Mills theories

Cited by 48 publications

References 54 publications

The large $$N_{c}$$ limit of QCD on the lattice

The large $$N_{c}$$ limit of QCD on the lattice

Holographic models of composite Higgs in the Veneziano limit. Part I. Bosonic sector

Pseudoscalar glueballs in the Klebanov-Strassler theory

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