RECORD
Finite Temperature Spectral Densities of Momentum and R-Charge Correlators in $\N=4$ Yang Mills Theory
High Energy Physics - Phenomenology · Submitted 6 Feb 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim For $\omega \sim T$ and smaller, the spectral density differs markedly from perturbation theory; there is no kinetic theory peak.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
We compute spectral densities of momentum and R-charge correlators in thermal $\N=4$ Yang Mills at strong coupling using the AdS/CFT correspondence. For $\omega \sim T$ and smaller, the spectral density differs markedly from perturbation theory; there is no kinetic theory peak. For large $\omega$, the spectral density oscillates around the zero-temperature result with an exponentially decreasing amplitude. Contrast this with QCD where the spectral density of the current-current correlator approaches the zero temperature result like $(T/\omega)^4$. Despite these marked differences with perturbation theory, in Euclidean space-time the correlators differ by only $\sim 10%$ from the free result. The implications for Lattice QCD measurements of transport are discussed.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We compute spectral densities of momentum and R-charge correlators in thermal $\N=4$ Yang Mills at strong coupling using the AdS/CFT correspondence. | contribution 0.99 | 0.96 | 0.15 | asserted 1.00 |
| s1 | For $\omega \sim T$ and smaller, the spectral density differs markedly from perturbation theory; there is no kinetic theory peak. | result 1.00 | 0.90 | 0.35 | asserted 1.00 |
| s2 | For large $\omega$, the spectral density oscillates around the zero-temperature result with an exponentially decreasing amplitude. | result 1.00 | 0.92 | 0.20 | asserted 1.00 |
| s3 | Contrast this with QCD where the spectral density of the current-current correlator approaches the zero temperature result like $(T/\omega)^4$. | result 0.48 | 0.08 | 0.08 | asserted 1.00 |
| s4 | Despite these marked differences with perturbation theory, in Euclidean space-time the correlators differ by only $\sim 10%$ from the free result. | result 0.97 | 0.86 | 0.21 | asserted 1.00 |
| s5 | The implications for Lattice QCD measurements of transport are discussed. | interpretation 0.92 | 0.38 | 0.05 | unclear 0.72 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We compute spectral densities of momentum and R-charge correlators in thermal $\N=4$ Yang Mills at strong coupling using the AdS/CFT correspondence. For $\omega \sim T$ and smaller, the spectral density differs markedly from perturbation theory; there is no kinetic theory peak. For large $\omega$, the spectral density oscillates around the zero-temperature result with an exponentially decreasing amplitude. Contrast this with QCD where the spectral density of the current-current correlator approaches the zero temperature result like $(T/\omega)^4$. Despite these marked differences with perturbation theory, in Euclidean space-time the correlators differ by only $\sim 10%$ from the free result. The implications for Lattice QCD measurements of transport are discussed.
Human review
References
How later papers used it
61 later papers cite it
3 later papers by other authors are listed below: 1 built on it and 2 used its method or tool.
Builds on it 1 paper
-
Argued that power corrections to spectral functions at large virtuality are restricted to polynomial terms in the momenta and forbidden for currents and stress tensors, generalizing observations of this paper.
Asymptotics of thermal spectral functions (2009) · 0.97 · paraphrased: the licence does not allow quoting
Uses its method or tool 2 of 13 papers with this label
-
Followed this paper to obtain the expression of Z_3 near the boundary up to normalization.
Toward the AdS/CFT Gravity Dual for High Energy Collisions. 3.Gravitationally Collapsing Shell and Quasiequilibrium (2008) · 1.00 · paraphrased: the licence does not allow quoting
-
Transformed this paper's equation to a Schrödinger type equation to use the WKB approximation in another work.
Diffusion in an Expanding Plasma using AdS/CFT (2007) · 1.00 · paraphrased: the licence does not allow quoting
How the literature uses it
58 arXiv papers cite this in 93 sentences
Papers citing it · 53 sentences without a confident label
Builds on it 1 paper
-
We will argue that power corrections to spectral functions at large virtuality are restricted to polynomial terms in the momenta and forbidden for currents and stress tensors, generalizing observations of Teaney [ref] .
Asymptotics of thermal spectral functions · Introduction · 0.97
Uses its method or tool 13 papers
-
Let us start from the Euclidean correlator [ref] [equation] and take the integral ($β= 1/T$) [equation] Together with the definition of the reconstructed correlator [ref] [equation] i.e. taking the spectral density at zero temperature, one finds equivalently to ([ref]) but in terms of the Euclidean correlators [ref] , [equation]
R-charge thermodynamical spectral sum rule in N=4 Yang-Mills theory · Euclidean correlator · 0.83
-
From equation ([ref]) it follows that [equation] The ratio $B_(-)/A_(-)$ can be computed by a direct numerical integration of equation ([ref]) following the steps described, for example, in Refs. [ref] .
Glueballs at finite temperature from AdS/QCD · Numerical results · 0.99
-
Following [ref] , we obtain the expression of $Z_3$ near the boundary up to normalization(see Appendix.[ref] for details of the treatment):
Toward the AdS/CFT Gravity Dual for High Energy Collisions. 3.Gravitationally Collapsing Shell and Quasiequilibrium · Retarded Correlators and their spectral densities · 1.00
Uses its data or values 1 paper
-
Beginning with our model theory, we note that we will show in Sec. [ref] (see Eq. [ref]) that to linear order in $μ$ and to lowest order in $$ and $β$ the baryon number density is given (for a choice of normalization, see Section [ref]) by [equation] giving a susceptibility [equation] From Refs. [ref] we know that in $𝒩=4$ SYM theory we have $χ_∞/χ_0 = 1 / 2$ where $χ_∞$ is the susceptibility in the infinite coupling limit (corresponding to $=β=0$ in the above), while $χ_0$ is the susceptibility in the non-interacting limit.
Coupling Constant Corrections in a Holographic Model of Heavy Ion Collisions with Nonzero Baryon Number Density · The holographic model · 0.89
Compares with it 3 papers
-
Indeed comparing ([ref]) with ([ref]) there is a significant difference between the strong and weak coupling result for the sum rule of the current-current correlator, maybe even more significant than the difference between the Euclidean correlators $G_JJ(τ)$ for the interacting and free theory as shown in Fig. 3(b) in [ref] , which is at most $∼20 %$.
R-charge thermodynamical spectral sum rule in N=4 Yang-Mills theory · Conclusion · 0.98
-
I also show the corresponding ratio of moments in the (conformal) $N=4$ SYM theory [ref] , computed by AdS/CFT methods.
Computing the viscosity of the QGP on the lattice · Thermal correlators from isotropic lattices · 0.88
-
In particular, there are no oscillations around the asymptotic form as is the case in the $N=4$ theory [ref] .
Viscosity spectral function of a scale invariant non-relativistic fluid from holography · High frequency behavior · 1.00
Cites it as support 2 papers
-
This can be shown explicitly in the exactly solvable model of $N=4$ super-Yang-Mills (SYM) theory at strong 't Hooft coupling, where cut contributions from colored quasiparticles are absent from the thermal spectral functions [ref] , but the phonon mode is found to be well defined and only weakly damped at momenta $|k| < 3T$ [ref] .
What is the Quark-Gluon Plasma made of? · Thermal Perturbation Theory · 0.97
-
This is motivated by the strongly coupled results of the AdS/CFT correspondence where a rather featureless and flat low energy behavior is generic [ref] .
Spectral and transport properties from lattice QCD · Lattice estimate on the thermal dilepton rate and electrical conductivity · 0.98
Cites it as background 19 papers
-
The spectral function with and without baryon density in the probe brane approach was already calculated [ref] .
Photo-emission rate of sQGP at finite density · Introduction · 0.86
-
In this note the current-current correlator at finite temperature [ref] is considered.
R-charge thermodynamical spectral sum rule in N=4 Yang-Mills theory · Introduction · 0.87
-
The computation to $η/s$ for different examples both with and without the higher derivative corrections have been studied in [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] and [ref] .
$\eta/s$ at finite coupling · Introduction · 0.98
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.