The scalar and pseudoscalar sector in a five-dimensional approach to chiral symmetry breaking

Rold, Leandro Da; Pomarol, Alex

doi:10.1088/1126-6708/2006/01/157

Cited by 148 publications

(195 citation statements)

References 35 publications

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“…As has been pointed out many times -see for instance [43,44] -in QCD the quark mass runs all the way to zero in the far UV, a fact that cannot be matched in a holographic model with AdS asymptotics (such that the m q we will define is the UV value, which does not run further). If we want to make a phenomenological analysis, the most natural option is to identify the m q of the model with the QCD quark mass measured at a scale around 1 or 2 GeV.…”

Section: Holographic Renormalization the Quark Mass And The Quark Comentioning

confidence: 96%

“…Thus, we can again match the asymptotic behaviour of the current-current correlator to the perturbative result. For that, we make an argument similar to [43] assume that the qq operator is dual to the tachyon rescaled by some constant β, such that the boundary coupling is, schematically, β(τ /z)qq. This is what we anticipated in the relation between c 1 and the quark mass (3.26).…”

Section: Scalar Mesonsmentioning

confidence: 99%

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Thermodynamics of SU(N) Yang-Mills theories in 2 + 1 dimensions II — The deconfined phase

Caselle

Castagnini

Feo

et al. 2012

J. High Energ. Phys.

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A simple holographic model is presented and analyzed that describes chiral symmetry breaking and the physics of the meson sector in QCD. This is a bottom-up model that incorporates string theory ingredients like tachyon condensation which is expected to be the main manifestation of chiral symmetry breaking in the holographic context. As a model for glue the Kuperstein-Sonnenschein background is used. The structure of the flavor vacuum is analyzed in the quenched approximation. Chiral symmetry breaking is shown at zero temperature. Above the deconfinement transition chiral symmetry is restored. A complete holographic renormalization is performed and the chiral condensate is calculated for different quark masses both at zero and non-zero temperatures. The 0 ++ , 0 −+ , 1 ++ , 1 −− meson trajectories are analyzed and their masses and decay constants are computed. The asymptotic trajectories are linear. The model has one phenomenological parameter beyond those of QCD that affects the 1 ++ , 0 −+ sectors. Fitting this parameter we obtain very good agreement with data. The model improves in several ways the popular hard-wall and soft wall bottom-up models.

show abstract

Section: Holographic Renormalization the Quark Mass And The Quark Comentioning

confidence: 96%

Section: Scalar Mesonsmentioning

confidence: 99%

Thermodynamics of SU(N) Yang-Mills theories in 2 + 1 dimensions II — The deconfined phase

Caselle

Castagnini

Feo

et al. 2012

J. High Energ. Phys.

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show abstract

“…We are particularly intrigued by this problem because the pseudoscalar representation used in refs. [6,12] appears to be incompatible with the representations used in [5,13,8,14]. Both are in the exponential form…”

mentioning

confidence: 99%

Pseudoscalar mass spectrum in a soft-wall model of AdS/QCD

2011

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The Anti-de Sitter Space/Conformal Field Theory (AdS/CFT) correspondence may offer new and useful insights into the non-perturbative regime of strongly coupled gauge theories such as Quantum Chromodynamics (QCD). Recently a modified soft-wall AdS/QCD model incorporated independent sources for explicit and spontaneous chiral symmetry breaking and linear confinement. This model contains a modified dilaton and higher-order interaction terms in the Lagrangian. Within this model we explore the radial pseudoscalar mass spectrum using two different representations of the pion field. We find the mass eigenvalues associated with each representation, show the equivalence between the two, and find good agreement with the pion masses. The Gell-Mann-Oakes-Renner relation is naturally obtained.

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“…Many efforts have been made in constructing a holographic dual of QCD. See [13,14,15,16,17,18,19,20,21,22,23,24,25,26] and references therein for various approaches. Usually in these models, the background manifold is chosen to be AdS, which means one did not consider the effects of the condensates.…”

mentioning

confidence: 99%

AdS/QCD phenomenological models from a back-reacted geometry

Shock

et al. 2007

J. High Energy Phys.

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We construct a fully back-reacted holographic dual of a four-dimensional field theory which exhibits chiral symmetry breaking. Two possible models are considered by studying the effects of a five-dimensional field, dual to the qq operator. One model has smooth geometry at all radii and the other dynamically generates a cutoff at finite radius. Both of these models satisfy Einstein's field equations. The second model has only three free parameters, as in QCD, and we show that this gives phenomenologically consistent results. We also discuss the possibility that in order to obtain linear confinement from a backreacted model it may be necessary to consider the condensate of a dimension two operator.

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The scalar and pseudoscalar sector in a five-dimensional approach to chiral symmetry breaking

Cited by 148 publications

References 35 publications

Thermodynamics of SU(N) Yang-Mills theories in 2 + 1 dimensions II — The deconfined phase

Thermodynamics of SU(N) Yang-Mills theories in 2 + 1 dimensions II — The deconfined phase

Pseudoscalar mass spectrum in a soft-wall model of AdS/QCD

AdS/QCD phenomenological models from a back-reacted geometry

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