From string theory to large N QCD

Mohammed Mia

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From string theory to large N QCD

Mohammed Mia

High Energy Physics - Theory · Submitted 13 Dec 2010

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

The authors' main claim We propose the dual gravity of a non conformal gauge theory which has logarithmic running of couplings in the IR but becomes almost conformal in the far UV.

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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.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.15 · compares with prior results 0.11 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

We propose the dual gravity of a non conformal gauge theory which has logarithmic running of couplings in the IR but becomes almost conformal in the far UV. The theory has matter in fundamental representation, non-zero temperature and under a cascade of Seiberg dualities, can be described in terms of gauge groups of lower and lower rank. We outline the procedure of holographic renormalization and propose a mechanism to UV complete the gauge theory by modifying the dual geometry at large radial distances. As an example, we construct the brane configuration and sources required to attach a Klebanov-Witten type geometry at large r to a Klebanov- Strassler type geometry at small r. Using the supergravity description for the dual geometry, we compute thermal mass of a fundamental 'quark' in our theory along with drag and diffusion coefficients of the gauge theory plasma. We compute the stress tensor of the gauge theory and formulate the wake a probe leaves behind as it traverses the medium. Transport coefficient shear viscosity {\eta} and its ratio to entropy {\eta}/s are calculated and finally we show how confinement of 'quarks' at large separation can occur at low temperatures. We classify the most general dual geometry that gives rise to linear confinement at low temperatures and show how quarkonium states can melt at high temperatures to liberate 'quarks'.

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	We propose the dual gravity of a non conformal gauge theory which has logarithmic running of couplings in the IR but becomes almost conformal in the far UV.	contribution 1.00	0.83	0.42	asserted 0.77
s1	The theory has matter in fundamental representation, non-zero temperature and under a cascade of Seiberg dualities, can be described in terms of gauge groups of lower and lower rank.	contribution 0.58	0.33	0.07	asserted 0.84
s2	We outline the procedure of holographic renormalization and propose a mechanism to UV complete the gauge theory by modifying the dual geometry at large radial distances.	method 0.60	0.85	0.17	asserted 0.81
s3	As an example, we construct the brane configuration and sources required to attach a Klebanov-Witten type geometry at large r to a Klebanov- Strassler type geometry at small r.	method 0.53	0.88	0.06	asserted 0.99
s4	Using the supergravity description for the dual geometry, we compute thermal mass of a fundamental 'quark' in our theory along with drag and diffusion coefficients of the gauge theory plasma.	result 0.64	0.95	0.07	asserted 1.00
s5	We compute the stress tensor of the gauge theory and formulate the wake a probe leaves behind as it traverses the medium.	contribution 0.68	0.93	0.05	asserted 0.99
s6	Transport coefficient shear viscosity {\eta} and its ratio to entropy {\eta}/s are calculated and finally we show how confinement of 'quarks' at large separation can occur at low temperatures.	result 0.95	0.94	0.19	asserted 1.00
s7	We classify the most general dual geometry that gives rise to linear confinement at low temperatures and show how quarkonium states can melt at high temperatures to liberate 'quarks'.	contribution 0.64	0.92	0.23	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.81.

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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

We propose the dual gravity of a non conformal gauge theory which has logarithmic running of couplings in the IR but becomes almost conformal in the far UV. The theory has matter in fundamental representation, non-zero temperature and under a cascade of Seiberg dualities, can be described in terms of gauge groups of lower and lower rank. We outline the procedure of holographic renormalization and propose a mechanism to UV complete the gauge theory by modifying the dual geometry at large radial distances. As an example, we construct the brane configuration and sources required to attach a Klebanov-Witten type geometry at large r to a Klebanov- Strassler type geometry at small r. Using the supergravity description for the dual geometry, we compute thermal mass of a fundamental 'quark' in our theory along with drag and diffusion coefficients of the gauge theory plasma. We compute the stress tensor of the gauge theory and formulate the wake a probe leaves behind as it traverses the medium. Transport coefficient shear viscosity {\eta} and its ratio to entropy {\eta}/s are calculated and finally we show how confinement of 'quarks' at large separation can occur at low temperatures. We classify the most general dual geometry that gives rise to linear confinement at low temperatures and show how quarkonium states can melt at high temperatures to liberate 'quarks'.

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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

What it cites · 169 sentences without a confident label

Builds on 2 papers

With this, the rest of the analysis is a straightforward extension of [ref] [ref] .

Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma · Thermal Mass and Drag of a Quark · 0.94
With this, the rest of the analysis is a straightforward extension of [ref] [ref] .

Drag force in AdS/CFT · Thermal Mass and Drag of a Quark · 0.94

Uses the method or tool of 14 papers

We will now compute the Wilson loop at strong coupling by using holography, that is we identify <trρ^0W_C>=e^iS_NG where $ρ^0$ is the density matrix [ref] , $S_NG$ being the Nambu-Goto action, with the boundary of the string world sheet being the curve $C$.

Transverse Momentum Broadening of a Fast Quark in a $\N=4$ Yang Mills Plasma · Transverse Momentum Broadening · 0.98
Hence, we compute only the correlator $⟨T_23(τ,x) T_23(0,x)⟩$ and using the conjecture in [ref] , relate this to the retarded Greens function.

Minkowski-space correlators in AdS/CFT correspondence: recipe and applications · Shear Viscosity · 0.87
As in [ref] [ref] we consider mappings $X^μ(σ, τ)$, which are points in the internal space, to lie on the slice: θ_1 = θ_2 = π, ϕ_i = 0, ψ = 0 so that on this slice $α, β$ are fixed and we set it to $(α,β)=(0.1, 0.05)$ for both choices $(α, β)$.

Five Easy Pieces: The Dynamics of Quarks in Strongly Coupled Plasmas · Numerical analysis of melting temperatures · 0.91

Uses data or values from 2 papers

For one specific case their values are given in Appendix C of [ref] .

Five Easy Pieces: The Dynamics of Quarks in Strongly Coupled Plasmas · Holographic Renormalization · 0.84
For example, if $M_5=T^1,1$, then $V=27/4π$ [ref] .

Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity · The Dual Gravity of the Brane Theory · 0.99

Compares with 19 papers

Comparing with the known AdS results, and the specific example presented in Appendix C of [ref] , one can argue that the infinities in ([ref]) arise from the following three sources: 1.

Five Easy Pieces: The Dynamics of Quarks in Strongly Coupled Plasmas · Holographic Renormalization · 0.87
For $N_f^eff=M_eff=0$, we get back the value of $κ_T$ as computed in [ref] .

Transverse Momentum Broadening of a Fast Quark in a $\N=4$ Yang Mills Plasma · Transverse Momentum Broadening · 0.89
If we now compare this to [ref] we see that $c_3$, which is the coefficient of $R_αβγδR^αβγδ$ in [ref] , is indeed positive.

Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory · Shear Viscosity · 0.93

Cites as background 44 papers

Details of our model can be found in [ref] .

Toward Large N Thermal QCD from Dual Gravity: The Heavy Quarkonium Potential · Towards Large N QCD from Dual Gravity · 0.83
Region 1 is basically the one discussed in great details in [ref] and the previous sections.

Five Easy Pieces: The Dynamics of Quarks in Strongly Coupled Plasmas · Towards Large N QCD from Dual Gravity · 0.89
The key observation was made by Maldacena in the late 1990's while studying anti de Sitter black hole solutions and how they arise from D brane configurations [ref] .

The Large N Limit of Superconformal Field Theories and Supergravity · Statement of originality · 0.87

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