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Quark Number Susceptibility with Finite Quark Mass in Holographic QCD
High Energy Physics - Phenomenology · Submitted 13 Dec 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This indicates that the heavy quark like charm contribution to thermodynamics of a QCD-like system may start to become significant at temperatures $T\sim 600$ MeV.
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The abstract, sentence by sentence
We study the effect of a finite quark mass on the quark number susceptibility in the framework of holographic QCD. We work in a bottom-up model with a deformed AdS black hole and D3/D7 model to calculate the quark number susceptibility at finite temperature with/without a finite quark chemical potential. As expected the finite quark mass suppresses the quark number susceptibility. We find that at high temperatures $T\ge 600$ MeV the quark number susceptibility of light quarks and heavy quarks are almost equal in the bottom-up model. This indicates that the heavy quark like charm contribution to thermodynamics of a QCD-like system may start to become significant at temperatures $T\sim 600$ MeV. In D3/D7 model, we focus on the competition between the quark chemical potential, which enhances the quark number susceptibility, and the quark mass that suppresses the susceptibility. We observe that depending on the relative values of the quark mass and the quark chemical potential, the quark number susceptibility shows a diverging or converging behavior. We also calculate the chiral susceptibility in D3/D7 model to support the observation made with the quark number susceptibility.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the effect of a finite quark mass on the quark number susceptibility in the framework of holographic QCD. | contribution 0.99 | 0.93 | 0.05 | asserted 0.51 |
| s1 | We work in a bottom-up model with a deformed AdS black hole and D3/D7 model to calculate the quark number susceptibility at finite temperature with/without a finite quark chemical potential. | method 0.99 | 0.92 | 0.04 | asserted 0.93 |
| s2 | As expected the finite quark mass suppresses the quark number susceptibility. | result 0.99 | 0.66 | 0.32 | asserted 1.00 |
| s3 | We find that at high temperatures $T\ge 600$ MeV the quark number susceptibility of light quarks and heavy quarks are almost equal in the bottom-up model. | result 1.00 | 0.96 | 0.23 | asserted 1.00 |
| s4 | This indicates that the heavy quark like charm contribution to thermodynamics of a QCD-like system may start to become significant at temperatures $T\sim 600$ MeV. | interpretation 1.00 | 0.78 | 0.25 | hedged possibility 1.00 |
| s5 | In D3/D7 model, we focus on the competition between the quark chemical potential, which enhances the quark number susceptibility, and the quark mass that suppresses the susceptibility. | method 0.61 | 0.85 | 0.07 | asserted 0.94 |
| s6 | We observe that depending on the relative values of the quark mass and the quark chemical potential, the quark number susceptibility shows a diverging or converging behavior. | result 1.00 | 0.96 | 0.19 | asserted 1.00 |
| s7 | We also calculate the chiral susceptibility in D3/D7 model to support the observation made with the quark number susceptibility. | method 0.53 | 0.96 | 0.06 | asserted 1.00 |
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The paper
Original abstract
We study the effect of a finite quark mass on the quark number susceptibility in the framework of holographic QCD. We work in a bottom-up model with a deformed AdS black hole and D3/D7 model to calculate the quark number susceptibility at finite temperature with/without a finite quark chemical potential. As expected the finite quark mass suppresses the quark number susceptibility. We find that at high temperatures $T\ge 600$ MeV the quark number susceptibility of light quarks and heavy quarks are almost equal in the bottom-up model. This indicates that the heavy quark like charm contribution to thermodynamics of a QCD-like system may start to become significant at temperatures $T\sim 600$ MeV. In D3/D7 model, we focus on the competition between the quark chemical potential, which enhances the quark number susceptibility, and the quark mass that suppresses the susceptibility. We observe that depending on the relative values of the quark mass and the quark chemical potential, the quark number susceptibility shows a diverging or converging behavior. We also calculate the chiral susceptibility in D3/D7 model to support the observation made with the quark number susceptibility.
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How the literature uses it
5 arXiv papers cite this in 5 sentences
Papers citing it · 3 sentences without a confident label
Cites it as background 2 papers
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Recently the AdS/CFT duality is adapted to understand the strong coupling dynamics of QCD [ref] .
Thermodynamics of soft wall AdS/QCD at finite chemical potential · Introduction · 0.92
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In QCD, the response of the system to a change in the chemical potential is measured through the quark number susceptibility $χ$, and it was investigated in holographic QCD models in Refs. [ref] (see also references therein).
Melting of heavy vector mesons and quasinormal modes in a finite density plasma from holography · Quark number susceptibility · 0.99
What it cites · 24 sentences without a confident label
Uses the method or tool of 5 papers
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In this section we follow the procedure developed in [ref] and then extract relevant parts to discuss the quark number susceptibility.
Holographic phase transitions at finite baryon density · Quark number susceptibility in D3/D7 system · 0.99
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Following [ref] , we consider the “black hole embedding” of the probe D7-branes in the D3-brane background in which we could introduce the finite quark mass together with the chemical potential.
A New Phase at Finite Quark Density from AdS/CFT · Quark number susceptibility in D3/D7 system · 0.93
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Following the paper [ref] , we introduce new coordinate $ϱ$ through
Holographic Phase Transitions with Fundamental Matter · Quark number susceptibility in D3/D7 system · 1.00
Compares with 1 paper
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In [ref] , it is shown that the fluctuations of the charm quark number is comparable to those of the light quark sector at high temperatures and claim that at temperatures $T∼800$ MeV the contribution of charm quark to QCD thermodynamics is significant.
Quark number fluctuations at high temperatures · Quark number susceptibility in deformed AdS black hole · 1.00
Cites as support 1 paper
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In [ref] , it is claimed that unexpectedly, the charm quark plays some role in the QGP at relatively low temperatures $T∼350$ MeV.
Quark mass thresholds in QCD thermodynamics · Introduction · 0.98
Cites as background 17 papers
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The background we shall discuss is AdS black hole with back-reactions coming from flavors [ref] ,
Holographic phase transition of QCD with back-reaction of flavors · Quark number susceptibility in deformed AdS black hole · 0.84
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In [ref] , the quark number susceptibility at finite temperature with finite chemical potential is studied in a holographic QCD model.
Quark Number Susceptibility with Finite Chemical Potential in Holographic QCD · Introduction · 0.85
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In [ref] , the quark number susceptibility at finite temperature with finite chemical potential is studied in a holographic QCD model.
Improved AdS/QCD Model with Matter · Introduction · 0.85
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