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In-medium effects in the holographic quark-gluon plasma
High Energy Physics - Theory · Submitted 28 Feb 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our observations at finite temperature and particle density are in qualitative agreement with phenomenological models and experimental observations.
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In this dissertation we use the D3/D7 model in gauge/gravity duality to investigate the effects of finite temperature and particle density on matter in strongly coupled super-Yang-Mills gauge theories, which we interpret as models for the quark-gluon plasma (QGP). We start with an introduction to the AdS/CFT correspondence and the setup we use subsequently. We then investigate the effects of finite temperature and particle density on fundamental matter from three different viewpoints. (i) We study meson spectra. Our observations at finite temperature and particle density are in qualitative agreement with phenomenological models and experimental observations. They agree with previous publications in the according limits. (ii) We study the temperature and density dependence of transport properties of fundamental matter in the QGP. In particular, we obtain diffusion coefficients. Furthermore, in a kinetic model we estimate the effects of the coupling strength on meson diffusion and therewith equilibration processes in the QGP. (iii) We observe the effects of finite temperature and density on the phase structure of fundamental matter in the holographic QGP. We trace out the phase transition lines of different phases in the phase diagram.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this dissertation we use the D3/D7 model in gauge/gravity duality to investigate the effects of finite temperature and particle density on matter in strongly coupled super-Yang-Mills gauge theories, which we interpret as models for the quark-gluon plasma (QGP). | contribution 0.93 | 0.91 | 0.08 | asserted 0.93 |
| s1 | We start with an introduction to the AdS/CFT correspondence and the setup we use subsequently. | background 0.78 | 0.41 | 0.01 | asserted 0.66 |
| s2 | We then investigate the effects of finite temperature and particle density on fundamental matter from three different viewpoints. | contribution 0.96 | 0.75 | 0.03 | asserted 0.88 |
| s3 | (i) We study meson spectra. | contribution 1.00 | 0.93 | 0.03 | asserted 0.87 |
| s4 | Our observations at finite temperature and particle density are in qualitative agreement with phenomenological models and experimental observations. | result 0.59 | 0.91 | 0.30 | asserted 0.54 |
| s5 | They agree with previous publications in the according limits. | result 0.71 | 0.46 | 0.07 | asserted 1.00 |
| s6 | (ii) We study the temperature and density dependence of transport properties of fundamental matter in the QGP. | contribution 1.00 | 0.93 | 0.04 | asserted 0.98 |
| s7 | In particular, we obtain diffusion coefficients. | result 0.84 | 0.95 | 0.05 | asserted 1.00 |
| s8 | Furthermore, in a kinetic model we estimate the effects of the coupling strength on meson diffusion and therewith equilibration processes in the QGP. | contribution 0.48 | 0.91 | 0.06 | asserted 0.73 |
| s9 | (iii) We observe the effects of finite temperature and density on the phase structure of fundamental matter in the holographic QGP. | contribution 0.88 | 0.95 | 0.07 | asserted 1.00 |
| s10 | We trace out the phase transition lines of different phases in the phase diagram. | result 0.43 | 0.93 | 0.07 | asserted 0.99 |
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Original abstract
In this dissertation we use the D3/D7 model in gauge/gravity duality to investigate the effects of finite temperature and particle density on matter in strongly coupled super-Yang-Mills gauge theories, which we interpret as models for the quark-gluon plasma (QGP). We start with an introduction to the AdS/CFT correspondence and the setup we use subsequently. We then investigate the effects of finite temperature and particle density on fundamental matter from three different viewpoints. (i) We study meson spectra. Our observations at finite temperature and particle density are in qualitative agreement with phenomenological models and experimental observations. They agree with previous publications in the according limits. (ii) We study the temperature and density dependence of transport properties of fundamental matter in the QGP. In particular, we obtain diffusion coefficients. Furthermore, in a kinetic model we estimate the effects of the coupling strength on meson diffusion and therewith equilibration processes in the QGP. (iii) We observe the effects of finite temperature and density on the phase structure of fundamental matter in the holographic QGP. We trace out the phase transition lines of different phases in the phase diagram.
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How the literature uses it
1 arXiv paper cite this in 1 sentence
Papers citing it
Cites it as background 1 paper
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Actually, many analyses were done by using the Nambu-Jona-Lasinio (NJL) model [ref] , the random matrix model [ref] , the strong coupling lattice analysis [ref] , Ginzburg-Landau approach [ref] , the hadron resonance gas model [ref] , holographic QCD models [ref] .
Enhancement of Chiral Symmetry Breaking from the Pion condensation at finite isospin chemical potential in a holographic QCD model · Introduction · 0.92
What it cites · 33 sentences without a confident label
Builds on 1 paper
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In this section we show how the coupling constant for the interaction of vector mesons can be computed, extending the ideas presented in [ref] .
Meson Spectroscopy in AdS/CFT with Flavour · Coupling constant for vector meson interaction · 1.00
Uses the method or tool of 3 papers
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The equations of motion for the background fields are conveniently obtained after Legendre transforming the action [ref] to $Ŝ=S-δS/δF_40$ in order to eliminate dependence on the gauge field in favor of dependence on the constant of motion $d̃$ [ref] .
Holographic phase transitions at finite baryon density · Background gauge fields — finite particle density · 0.97
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In order to obtain a finite isospin-charge density $n_I$ and its conjugate chemical potential $μ_I$, we introduce a $ρ$-dependent time component of the $(2)$ valued background gauge field $Ã$ [ref] .
Isospin diffusion in thermal AdS/CFT with flavor · Equations of motion · 0.80
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[ref] ) we show that the redefinition is given by [equation] where the dimensionless constant $c_A$ depends on the geometry of the 7 worldvolume directions along $ρ$ and the $^3$, which are transverse to the directions of the 3.
Finite baryon and isospin chemical potential in AdS/CFT with flavor · Equations of motion · 0.80
Uses data or values from 1 paper
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The ratio of quark mass and temperature is defined by the ratio of these parameters, which we will henceforth denote by the dimensionless quantity [equation] It was found that the transition to the melting meson phase occurs at a value of approximately $m=1.3$ [ref] .
Chiral Symmetry Breaking and Pions in Non-Supersymmetric Gauge/Gravity Duals · Background geometry and supergravity action · 0.92
Compares with 2 papers
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Lattice results in the quenched approximation, in contrast, suggest a scaling of the transition temperature of meson destabilization with the transition temperature for the gauge fields $T_fund∝T_gauge$ [ref] .
$J/\psi$ and $\eta_c$ in the Deconfined Plasma from Lattice QCD · Confinement/deconfinement · 0.93
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It is given by the same relation as the mass spectrum [ref] which we encountered in the example of scalar mesons [ref] .
Meson Spectroscopy in AdS/CFT with Flavour · Spectra · 0.86
Cites as background 11 papers
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The formulation of this conjecture is known as the /CFT correspondence [ref] .
The Large N Limit of Superconformal Field Theories and Supergravity · Introduction · 0.98
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Various aspects of meson spectroscopy have been under investigation, among these are the discrete meson spectra of stable quark-anti quark mesons at zero temperature [ref] , the decreasing stability and melting of these states at finite temperature and finite particle density [ref] , and the investigation of the spectra of heavy-light mesons [ref] .
Holographic vector mesons from spectral functions at finite baryon or isospin density · Bound states of quarks · 0.98
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Various aspects of meson spectroscopy have been under investigation, among these are the discrete meson spectra of stable quark-anti quark mesons at zero temperature [ref] , the decreasing stability and melting of these states at finite temperature and finite particle density [ref] , and the investigation of the spectra of heavy-light mesons [ref] .
Finite baryon and isospin chemical potential in AdS/CFT with flavor · Bound states of quarks · 0.98
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