Spectral function and quark diffusion constant in non-critical holographic QCD

Jin Min Yang; Yan Yan Bu

RECORD

Spectral function and quark diffusion constant in non-critical holographic QCD

Yan Yan Bu, Jin Min Yang

High Energy Physics - Theory · Submitted 18 May 2011

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

The authors' main claim Then we extract the light quark diffusion constant for flavor current using three different methods and find that different methods give the same results.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

Claim paper

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

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,375 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.13 · randomized assignment 0.01 · states quantitative result 0.10 · compares with prior results 0.77 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v4. Results and the main claim are underlined; show every role.

Motivated by recent studies of intersecting D-brane systems in critical string theory and phenomenological AdS/QCD models, we present a detailed analysis for the vector and scalar fluctuations in a non-critical holographic QCD model in the high temperature phase, i.e., the chiral symmetric phase. This model is described by $N_f$ pairs of D4 and $\bar{\text{D4}}$ probe branes in a non-critical ${AdS_6}$ black hole background. Focusing on the hydrodynamic as well as the high frequency limit, we analytically obtain spectral functions for vector and scalar modes on the flavor probe. Then we extract the light quark diffusion constant for flavor current using three different methods and find that different methods give the same results. We also compute the heavy quark diffusion constant for comparison with the light quark case.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Motivated by recent studies of intersecting D-brane systems in critical string theory and phenomenological AdS/QCD models, we present a detailed analysis for the vector and scalar fluctuations in a non-critical holographic QCD model in the high temperature phase, i.e., the chiral symmetric phase.	contribution 0.75	0.80	0.05	asserted 0.96
s1	This model is described by $N_f$ pairs of D4 and $\bar{\text{D4}}$ probe branes in a non-critical ${AdS_6}$ black hole background.	method 0.97	0.22	0.03	asserted 1.00
s2	Focusing on the hydrodynamic as well as the high frequency limit, we analytically obtain spectral functions for vector and scalar modes on the flavor probe.	method 0.44	0.96	0.11	asserted 1.00
s3	Then we extract the light quark diffusion constant for flavor current using three different methods and find that different methods give the same results.	result 0.96	0.98	0.39	asserted 1.00
s4	We also compute the heavy quark diffusion constant for comparison with the light quark case.	contribution 0.92	0.96	0.06	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

What was examined, and what was not

sources read

arXiv listing abstract v4

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

Motivated by recent studies of intersecting D-brane systems in critical string theory and phenomenological AdS/QCD models, we present a detailed analysis for the vector and scalar fluctuations in a non-critical holographic QCD model in the high temperature phase, i.e., the chiral symmetric phase. This model is described by $N_f$ pairs of D4 and $\bar{\text{D4}}$ probe branes in a non-critical ${AdS_6}$ black hole background. Focusing on the hydrodynamic as well as the high frequency limit, we analytically obtain spectral functions for vector and scalar modes on the flavor probe. Then we extract the light quark diffusion constant for flavor current using three different methods and find that different methods give the same results. We also compute the heavy quark diffusion constant for comparison with the light quark case.

Human review

How Pith checks papers → · Full audit of this paper →

How the literature uses it

1 arXiv paper cite this in 1 sentence

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

Uses its method or tool 1 paper

In the following, we will just write down the main equations for the gauge fields (for details on the extraction of them, see [ref] ).

Structure function of holographic quark-gluon plasma: Sakai-Sugimoto model versus its non-critical version · Basic equations: flavor current propagation in plasma · 0.86

What it cites · 31 sentences without a confident label

Uses the method or tool of 2 papers

One of the methods is using Green-Kubo formula and the other one is using transport coefficient formula derived in [ref] under black hole membrane paradigm.

Quasinormal spectrum and the black hole membrane paradigm · Conclusion · 1.00
One of the methods is using Green-Kubo formula and the other one is using transport coefficient formula derived in [ref] under black hole membrane paradigm.

Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm · Conclusion · 1.00

Uses data or values from 1 paper

Concentrating on flavor charge diffusion constant, it is found in [ref] that $D=1/2 πT$.

Mesonic quasinormal modes of the Sakai-Sugimoto model at high temperature · Green-Kubo formula · 0.88

Compares with 4 papers

Our result is similar to that of [ref] but different from [ref] .

Transverse momentum broadening of heavy quark and gluon energy loss in Sakai-Sugimoto model · Introduction · 1.00
This factor counts the degree of freedom, it is proportional to $N_c^2$ for bulk modes while $Q_cN_f$ for flavor ones.] to their bulk counterparts studied in [ref] .

Quasinormal spectrum and the black hole membrane paradigm · Conclusion · 0.82
This factor counts the degree of freedom, it is proportional to $N_c^2$ for bulk modes while $Q_cN_f$ for flavor ones.] to their bulk counterparts studied in [ref] .

Viscosity, Black Holes, and Quantum Field Theory · Conclusion · 0.82

Cites as background 32 papers

The analysis in [ref] has elaborately studied the flavor charge transport in D3/D7 brane system.

Holographic spectral functions and diffusion constants for fundamental matter · Light quark diffusion constant · 0.87
The corresponding background geometry of confined phase can be found in [ref] .

Non critical holographic models of the thermal phases of QCD · Non-critical $AdS_6$ black hole background · 0.86
Specifically, we in this work study the vector/scalar fluctuations on flavor probe, calculate their correlation functions[Studies about retarded Green's functions under the gauge/gravity framework have gained much attention, for reviews see [ref] .] to reproduce the meson spectral functions and then extract quark diffusion constant.

Viscosity, Black Holes, and Quantum Field Theory · Introduction · 0.81

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.