Holographic Approach to Finite Temperature QCD: The Case of Scalar Glueballs and Scalar Mesons

F. Giannuzzi; P. Colangelo; S. Nicotri

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Holographic Approach to Finite Temperature QCD: The Case of Scalar Glueballs and Scalar Mesons

P. Colangelo, F. Giannuzzi, S. Nicotri

High Energy Physics - Phenomenology · Submitted 8 Sep 2009

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim A consistent holographic description of in-medium effects on hadron properties should include the Hawking-Page transition, which separates the phase with the Anti-de Sitter metric at small temperatures from the phase with Anti-de Sitter-Black Hole metric at high temperatures.

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arXiv ID0909.1534 (version 2)

Pith IDR2ZHOI5P, Pith's permanent record of this paper and its review

CitationF. Giannuzzi, P. Colangelo, S. Nicotri. "Holographic Approach to Finite Temperature QCD: The Case of Scalar Glueballs and Scalar Mesons." arXiv:0909.1534 (2009). https://pith.science/paper/R2ZHOI5P

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.91 · human participants 0.01 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.96 · compares with prior results 0.24 · mentions code or data availability 0.02.

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We study scalar glueballs and scalar mesons at $T \neq 0$ in the soft wall holographic QCD model. We find that, using the Anti-de Sitter-Black Hole metric for all values of the temperature, the masses of the hadronic states decrease and the widths become broader when T increases, and there are temperatures for which the states disappear from the scalar glueball and scalar meson spectral functions. However, the values of the temperatures in correspondence of which such phenomena occur are low, of the order of 40-60 MeV. A consistent holographic description of in-medium effects on hadron properties should include the Hawking-Page transition, which separates the phase with the Anti-de Sitter metric at small temperatures from the phase with Anti-de Sitter-Black Hole metric at high temperatures.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study scalar glueballs and scalar mesons at $T \neq 0$ in the soft wall holographic QCD model.	contribution 1.00	0.90	0.04	asserted 0.81
s1	We find that, using the Anti-de Sitter-Black Hole metric for all values of the temperature, the masses of the hadronic states decrease and the widths become broader when T increases, and there are temperatures for which the states disappear from the scalar glueball and scalar meson spectral functions.	result 1.00	0.95	0.64	asserted 1.00
s2	However, the values of the temperatures in correspondence of which such phenomena occur are low, of the order of 40-60 MeV.	result 0.69	0.84	0.14	asserted 1.00
s3	A consistent holographic description of in-medium effects on hadron properties should include the Hawking-Page transition, which separates the phase with the Anti-de Sitter metric at small temperatures from the phase with Anti-de Sitter-Black Hole metric at high temperatures.	limitation 0.36	0.15	0.25	asserted 0.93

What kind of paper the classifier reports this is: theoretical result 0.88 · evidence from simulation or computation 0.64.

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The paper

Original abstract

We study scalar glueballs and scalar mesons at $T \neq 0$ in the soft wall holographic QCD model. We find that, using the Anti-de Sitter-Black Hole metric for all values of the temperature, the masses of the hadronic states decrease and the widths become broader when T increases, and there are temperatures for which the states disappear from the scalar glueball and scalar meson spectral functions. However, the values of the temperatures in correspondence of which such phenomena occur are low, of the order of 40-60 MeV. A consistent holographic description of in-medium effects on hadron properties should include the Hawking-Page transition, which separates the phase with the Anti-de Sitter metric at small temperatures from the phase with Anti-de Sitter-Black Hole metric at high temperatures.

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References

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Holographic dissociation of tetraquark and hybrid meson in the spinning plasma
hep-ph 2026-11 conditional novelty 6.0 of 10

Spectral functions of tetraquark Zc and hybrid meson pi1 in a spinning holographic plasma show that rotation accelerates dissociation, with stronger effects in the transverse direction and with the gluon-excited pi1 m...
Thermal spectral functions of heavy and exotic Mesons from a hQCD at finite density
hep-ph 2026-10 conditional novelty 5.0 of 10

Melting temperatures of heavy and exotic mesons are computed in a self-consistent holographic QCD model, showing a mass-ordered hierarchy from hybrid pi1 (most fragile) to bottomonium (most robust).
Vector-meson properties in a data-driven AdS/QCD model
hep-ph 2026-09 conditional novelty 5.0 of 10

Flavor-specific gauge kinetic functions fitted to the first two vector-meson states reproduce radial spectra and yield holographic estimates for muon g-2 and in-medium quark-gluon plasma transport.
Thermodynamics of the Isospectral family of holographic vector mesons
hep-ph 2026-05 unverdicted novelty 4.0 of 10

Isospectral transformations in softwall AdS/QCD allow tuning the rho meson's decay constant to its experimental value of 226 MeV, producing a predicted melting temperature of 157 MeV from spectral function computation...
Light-Front Holographic QCD and Emerging Confinement
hep-ph 2014-07 conditional novelty 3.0 of 10

A harmonic light-front confinement potential, fixed by a conformal-algebra construction and mapped to a soft-wall AdS dilaton, yields a massless pion and linear Regge trajectories with one fitted scale.

How the literature uses it

39 arXiv papers cite this in 69 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 35 sentences without a confident label

Contests it 1 paper

Further studies in [ref] on refinements of this model found, however, unrealistic melting temperatures much below the QCD deconfinement scale $𝒪([150]MeV)$.

A quantum information perspective on meson melting · Insights from holographic models · contest 0.78

Builds on it 4 papers

In this section, we will describe the extension of the predictive AdS/QCD model [ref] to a thermodynamic model by simply considering the black hole metric [ref] .

Thermal Mass Spectra of Vector and Axial-Vector Mesons in Predictive Soft-Wall AdS/QCD Model · Predictive AdS/QCD Model at Finite Temperature · 0.99
This mimics the scenario considered in [ref] , but we include the full back-reaction of the scalar field and take the Gibbons-Hawking term into account.

The Dynamics and Thermodynamics of Soft-Wall AdS/QCD · Deconfinement Temperature · 0.86
This mimics the scenario considered in [ref] , but we include the full back-reaction of the scalar field and take the Gibbons-Hawking term into account.

The Thermodynamics of a 5D Gravity-Dilaton-Tachyon Solution · Deconfinement Temperature · 0.93

Uses its method or tool 4 papers

However, fortunately, as was discussed in [ref] , if it is possible to tackle the problem of obtaining masses by considering that the horizon is at a long distance from the border, and modes dual to hadrons decrease to zero far from the horizon, then it is also possible to solve ([ref]) considering normalized modes and using the usual tools to solve Sturm-Liouville problems.

Effects of beta function on mass and melting temperature for scalar glueballs in AdS/QCD models at finite temperature · Model at finite temperature · 0.87
In order to extract the dependence of glueball masses on the temperature and chemical potential, we have fitted each peak with a deformed Breit-Wigner function [ref] :

In-medium hadronic spectral functions through the soft-wall holographic model of QCD · Scalar glueball spectral function · 1.00
To quantitatively extract the temperature and chemical potential dependence of the lightest oddball mass, we fit the peak in the spectral function $ρ(ω^2)$ using a Breit-Wigner-like expression [ref] :

Holographic Oddballs · Oddballs in medium · 1.00

Uses its data or values 2 papers

In Ref. [ref] , the scalar glueball and light scalar mesons spectral have been studied in the soft-wall model and the highest temperature for which the meson state can exist was found to be about $40-60$.

Thermal Mass Spectra of Scalar and Pseudo-Scalar Mesons in IR-improved Soft-Wall AdS/QCD Model with Finite Chemical Potential · Introduction · 0.89
In [ref] , the melting temperature of the scalar glueball from the spectral functions is about $40-60$ MeV, while the deconfinement temperature of the soft wall model is about $190$ MeV [ref] .

Holography at work for nuclear and hadron physics · Glueballs · 0.90

Compares with it 4 papers

This criterion gives the same dissociation temperature at $μ=0$ found in [ref] , namely $T∼0.116c$.

In-medium hadronic spectral functions through the soft-wall holographic model of QCD · Scalar glueball spectral function · 0.81
However, the melting temperature in this model is higher than in previous holographic meson melting models, which find all sharp peaks disappearing at temperatures of 30-60 MeV [ref] .

Chiral transition and meson melting within improved holographic soft wall models · Temperature effects · 1.00
Similar results were recently obtained for scalar [ref] and vector [ref] mesons in the soft-wall model.

Glueballs at finite temperature from AdS/QCD · Final comments · 0.88

Cites it as background 14 papers

The spectral function in the soft-wall model was calculated for vector mesons in [ref] and for scalar glueballs and scalar mesons in [ref] .

Vector meson quasinormal modes in a finite-temperature AdS/QCD model · Introduction · 0.87
The investigation of hadron dissociation in a thermal medium in the framework of holography was carried out, for instance, in Refs. [ref] , see also references therein.

Melting of heavy vector mesons and quasinormal modes in a finite density plasma from holography · Introduction · 0.93
The thermal spectral functions for both mesons and glueballs have been studied in the soft-wall model, and the meson melting properties such as the in-medium mass shift have also been investigated [ref] .

Chiral transition and meson melting with finite chemical potential in an improved soft-wall AdS/QCD Model · Introduction · 0.89

What it cites · 2 sentences without a confident label

Compares with 1 paper

It is qualitatively analogous to the behaviour of the scalar glueball mass and width observed in lattice studies [ref] : however, the temperature scale is very different.

A Quenched Study of SU(3) Glueballs at Finite Temperature · Scalar glueball at $T ≠0$: soft wall model with AdS-BH metric · 1.00

Cites as background 1 paper

The theoretical tools used to describe these phenomena are lattice QCD, QCD Sum Rules, effective QCD theories and models of QCD [ref] .

Heavy quarkonium correlators at finite temperature: QCD sum rule approach · Introduction · 0.83

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