Gluon string breaking and meson spectrum in the holographic Soft Wall model

Afonin, S. S.; Solomko, Timofey

doi:10.1016/j.physletb.2022.137185

Cited by 9 publications

(11 citation statements)

References 30 publications

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“…As an example, we analyze in detail a SW holographic model with linear exponential background in the AdS metric. The spectrum of this model is Hydrogen like, nevertheless we show by an explicit calculation that the heavy-quark potential following from the model is close to the potential derived within the standard SW model with quadratic exponential background in [5] and, for a more general case, in [15,16]. Our main results have been briefly announced in the conference paper [18], in the given work we expand the discussions and provide detailed calculations.…”

Section: Introductionsupporting

confidence: 65%

“…The calculation of Ref. [5] was further extended to the case of SW models generalized to arbitrary intercept parameter (i.e., when the linear Regge spectrum has a general form m 2 n ∼ an + b, where the intercept b is arbitrary) and to the scalar SW model in [15,16], where many details of the derivation can be found. Below we briefly summarize the results.…”

Section: The Confinement Potential From Holographic Wilson Loopmentioning

confidence: 99%

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Confinement Potential in a Soft-Wall Holographic Model with a Hydrogen-like Spectrum

Afonin,

Solomko

2023

Preprint

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It is well known that the Soft-Wall holographic model for QCD successfully reproduces not only the linear Regge spectrum, but also, via the holographic Wilson confinement criterion, the "linear plus Coulomb" confinement potential similar to the Cornell potential. This property could be interpreted as a holographic counterpart of the hadron string picture, where the linearly rising potential and Regge-like spectrum are directly related. However, such a relation does not take place in the bottom-up holographic approach. Namely, the Cornell-like potentials arise in a broad class of bottom-up holographic models, the standard Soft-Wall model is merely a particular representative of this class. We consider a calculation of confinement potential within a different representative of this class a Soft-Wall model with linear dilaton background in the metric. This model leads to a Hydrogen like spectrum. The calculation of renormalized potential at short distances turns out to be complicated by a new subtlety that was skipped in general discussions of the issue existing in the literature. But the confinement potential of the model is shown to be not very different from the potential obtained in the standard Soft-Wall model with quadratic background.

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Section: Introductionsupporting

confidence: 65%

Section: The Confinement Potential From Holographic Wilson Loopmentioning

confidence: 99%

Confinement Potential in a Soft-Wall Holographic Model with a Hydrogen-like Spectrum

Afonin,

Solomko

2023

Preprint

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“…The details of these derivations can be found, e.g., in reference [18]. This integral in (3.9) is evidently divergent at v = 0 due to the v 2 in the denominator of the integrand.…”

Section: Holographic Wilson Loopmentioning

confidence: 98%

Cornell potential in generalized soft wall holographic model

Afonin¹,

Solomko²

2022

J. Phys. G: Nucl. Part. Phys.

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We derive and analyze the confinement potential of the Cornell type within the framework of the generalized Soft Wall holographic model that includes a parameter controlling the intercept of the linear Regge spectrum. In the phenomenology of Regge trajectories, this parameter is very important for the quantitative description of experimental data. Our analysis shows that the "linear plus Coulomb'' confinement potential obtained in the scalar channel is quantitatively consistent with the phenomenology and lattice simulations while the agreement in the vector channel is qualitative only. This result indicates the key role of the vacuum scalar sector in the formation of the confinement potential. As a by-product the overall consistency of our holographic description of confinement potential seems to confirm the glueball nature of the scalar meson f0(1500).

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“…To clarify the second problem it makes sense to reiterate the derivation procedure for the large distance potential once again (this is also described in Ref. [18]).…”

Section: B Adjustments To Earlier Resultsmentioning

confidence: 99%

“…The details of these derivations can be found, e.g., in Ref. [18]. This integral in (3.9) is evidently divergent at v = 0 due to the v 2 in the denominator of the integrand.…”

Section: Generalized Soft Wall Holographic Modelmentioning

confidence: 96%

Cornell potential in generalized Soft Wall holographic model

Afonin,

Solomko

2022

Preprint

Self Cite

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We derive and analyze the confinement potential of the Cornell type within the framework of the generalized Soft Wall holographic model that includes a parameter controlling the intercept of the linear Regge spectrum. In the phenomenology of Regge trajectories, this parameter is very important for the quantitative description of experimental data. Our analysis shows that the "linear plus Coulomb" confinement potential obtained in the scalar channel is quantitatively consistent with the phenomenology and lattice simulations while the agreement in the vector channel is qualitative only. This result indicates the key role of the vacuum scalar sector in the formation of the confinement potential. As a by-product the overall consistency of our holographic description of confinement potential seems to confirm the glueball nature of the scalar meson f 0 (1500).

show abstract

Gluon string breaking and meson spectrum in the holographic Soft Wall model

Cited by 9 publications

References 30 publications

Confinement Potential in a Soft-Wall Holographic Model with a Hydrogen-like Spectrum

Confinement Potential in a Soft-Wall Holographic Model with a Hydrogen-like Spectrum

Cornell potential in generalized soft wall holographic model

Cornell potential in generalized Soft Wall holographic model

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