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Anomalous dimensions and scalar glueball spectroscopy in AdS/QCD

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Abstract

An extended version of the AdS/QCD soft-wall model that incorporates QCD-like anomalous contributions to the dimensions of gauge theory operators is proposed. This exploratory approach leads to a relation between scalar glueball masses and beta functions. Using this relation, the properties of the glueball mass spectroscopy that emerge from phenomenological beta functions proposed in the literature are investigated. The reverse problem is also considered: starting from a linear Regge trajectory which fits the lattice glueball masses, beta functions with different asymptotic infrared behaviors are found. Remarkably, some of them present a fixed point at finite coupling.

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Notes

  1. With a negative dilaton parameter and keeping the value (2.17), one gets even smaller masses \(m_{G_{n}}^{2}=4|c|(n+1)\) [42].

  2. Note that the WA estimate was obtained from many various processes involving quark flavors (τ and heavy quarkonia decays, lattice QCD, deep inelastic scattering, etc.).

  3. While b 1 in (3.14) has nothing to do with \(b_{1}^{(\mathrm{pert})}\) of the perturbative QCD beta function, let us remark that they seem numerically close (\(b_{1}^{(\mathrm{pert})}\approx0.9\times10^{-3}\) for n f =0). Nevertheless, the shape of the 5d potential displayed in Fig. 2 is very sensitive to the value of b 1.

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Acknowledgements

The authors are partially supported by Capes and CNPq, Brazilian agencies. One of us, F.J., is grateful to J.A. Helayël-Neto for his hospitality at the CBPF during the completion of this work.

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  1. Instituto de Física, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, Rio de Janeiro, RJ, 21941-972, Brazil

    H. Boschi-Filho, N. R. F. Braga, F. Jugeau & M. A. C. Torres

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  1. H. Boschi-Filho
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Correspondence to H. Boschi-Filho.

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Boschi-Filho, H., Braga, N.R.F., Jugeau, F. et al. Anomalous dimensions and scalar glueball spectroscopy in AdS/QCD. Eur. Phys. J. C 73, 2540 (2013). https://doi.org/10.1140/epjc/s10052-013-2540-5

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