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Screening length in plasma winds
High Energy Physics - Theory · Submitted 28 Jul 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that for conformal theories the screening length is (boosted energy density)^{-1/d}.
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The abstract, sentence by sentence
We study the screening length L_s of a heavy quark-antiquark pair in strongly coupled gauge theory plasmas flowing at velocity v. Using the AdS/CFT correspondence we investigate, analytically, the screening length in the ultra-relativistic limit. We develop a procedure that allows us to find the scaling exponent for a large class of backgrounds. We find that for conformal theories the screening length is (boosted energy density)^{-1/d}. As examples of conformal backgrounds we study R-charged black holes and Schwarzschild-anti-deSitter black holes in (d+1)-dimensions. For non-conformal theories, we find that the exponent deviates from -1/d and as examples we study the non-extremal Klebanov-Tseytlin and Dp-brane geometries. We find an interesting relation between the deviation of the scaling exponent from the conformal value and the speed of sound.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the screening length L_s of a heavy quark-antiquark pair in strongly coupled gauge theory plasmas flowing at velocity v. | contribution 0.81 | 0.90 | 0.04 | asserted 0.71 |
| s1 | Using the AdS/CFT correspondence we investigate, analytically, the screening length in the ultra-relativistic limit. | method 0.88 | 0.94 | 0.04 | asserted 0.87 |
| s2 | We develop a procedure that allows us to find the scaling exponent for a large class of backgrounds. | method 0.86 | 0.96 | 0.05 | asserted 1.00 |
| s3 | We find that for conformal theories the screening length is (boosted energy density)^{-1/d}. | result 1.00 | 0.95 | 0.44 | asserted 1.00 |
| s4 | As examples of conformal backgrounds we study R-charged black holes and Schwarzschild-anti-deSitter black holes in (d+1)-dimensions. | contribution 0.82 | 0.81 | 0.04 | asserted 0.93 |
| s5 | For non-conformal theories, we find that the exponent deviates from -1/d and as examples we study the non-extremal Klebanov-Tseytlin and Dp-brane geometries. | result 0.98 | 0.94 | 0.14 | asserted 1.00 |
| s6 | We find an interesting relation between the deviation of the scaling exponent from the conformal value and the speed of sound. | result 0.98 | 0.94 | 0.26 | asserted 1.00 |
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The paper
Original abstract
We study the screening length L_s of a heavy quark-antiquark pair in strongly coupled gauge theory plasmas flowing at velocity v. Using the AdS/CFT correspondence we investigate, analytically, the screening length in the ultra-relativistic limit. We develop a procedure that allows us to find the scaling exponent for a large class of backgrounds. We find that for conformal theories the screening length is (boosted energy density)^{-1/d}. As examples of conformal backgrounds we study R-charged black holes and Schwarzschild-anti-deSitter black holes in (d+1)-dimensions. For non-conformal theories, we find that the exponent deviates from -1/d and as examples we study the non-extremal Klebanov-Tseytlin and Dp-brane geometries. We find an interesting relation between the deviation of the scaling exponent from the conformal value and the speed of sound.
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References
How the literature uses it
18 arXiv papers cite this in 38 sentences
Papers citing it · 22 sentences without a confident label
Builds on it 1 paper
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For example, following a line of reasoning developed in Ref. [ref] for the meson sector, it can be shown that in a certain class of gauge theories whose gravity duals are asymptotically AdS, as $v→1$ the baryon screening length scales as $L_s ∝(1-v^2)^1/4/^1/4$, where $$ is the energy density of the plasma. $$ is proportional to $T^4$ for the specific theory that we have analyzed, at any $v$, in this Section.
Velocity Dependence of Baryon Screening in a Hot Strongly Coupled Plasma · Wind parallel to the baryon configuration · 0.95
Uses its method or tool 2 papers
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In the next section, we briefly summarize our procedure to derive the screening length developed in Ref. [ref] .
Screening length and the direction of plasma winds · Introduction · 0.96
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[ref] , in obtaining the action ([ref]) as well as the corresponding $QQ̅$ potential as a function of $QQ̅$ pair's distance.
On non-relativistic $Q\bar Q$ potential via Wilson loop in Galilean space-time · $QQ̅$ potential in non-relativistic CFT with Galilean symmetry · 0.96
Uses its data or values 1 paper
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exponent summarizes the exponent $ν$ for various theories obtained in Ref. [ref] .
Screening length and the direction of plasma winds · Setup · 0.92
Compares with it 3 papers
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For the D$p$-brane, L_max-pi_half-lambda_half indeed reduces to our previous result when $θ=π/2$ (Eq. (5.14) of Ref. [ref] ) using $ν=(5-p)/(2(7-p))$ from exponent.
Screening length and the direction of plasma winds · Behavior near $θ= π/2$ · 0.82
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In this subsection, we shall show that our previous results are consistent with, and shed new light on, previous studies in the literature [ref] , concerning the propagation of `heavy quarks', or of quark–antiquark `mesons', in the strongly coupled $𝒩=4$ SYM plasma.
Jet evolution in the N=4 SYM plasma at strong coupling · Relation with previous approaches · 0.93
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If the coordinate $ρ$ is constant, and $ω=0$, then it reduces to the similar case studied in [ref] - [ref] .
Holographic model with a NS-NS field · Meson in non-commutative QGP · 0.87
Cites it as background 8 papers
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$l_0(η)$ are extensively discussed in literature [ref] .
The charmonium dissociation in an "anomalous wind" · The screening length $l_s$ in the anomalous flow · 0.96
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This has resulted in some non-trivial progress in the understanding of screening phenomena in strongly coupled plasmas [ref] .
Baryon Dissociation in a Strongly Coupled Plasma · Introduction and Conclusion · 0.81
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A substantial part of this effort has been concentrated on studying the response of such a plasma to energetic, `hard', probes, so like heavy quarks [ref] , mesons (or quark–antiquark pairs) [ref] , or photons [ref] , in an attempt to elucidate some intriguing RHIC data, so like the unexpectedly large `jet quenching', or to provide alternative signatures of a strongly–coupled matter.
Light-like mesons and deep inelastic scattering in finite-temperature AdS/CFT with flavor · Introduction · 0.96
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