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Velocity Dependence of Baryon Screening in a Hot Strongly Coupled Plasma
High Energy Physics - Theory · Submitted 7 Jan 2008
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that in the v -> 1 limit, Ls \propto (1-v^2)^{1/4}/T, and find that corrections to this velocity dependence are small at lower velocities.
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The abstract, sentence by sentence
The L-dependence of the static potential between Nc quarks arranged in a circle of radius L (a "baryon") immersed in the hot plasma of a gauge theory with Nc colors defines a screening length Ls. We use the AdS/CFT correspondence to compute this screening length for the case of heavy quarks in the plasma of strongly coupled N=4 super Yang-Mills theory moving with velocity v relative to the baryon. We find that in the v -> 1 limit, Ls \propto (1-v^2)^{1/4}/T, and find that corrections to this velocity dependence are small at lower velocities. This result provides evidence for the robustness of the analogous behavior of the screening length defined by the static quark-antiquark pair, which has been computed previously and in QCD is relevant to quarkonium physics in heavy ion collisions. Our results also show that as long as the hot wind is not blowing precisely perpendicular to the plane of the baryon configuration that we analyze, the Nc different quarks are not all affected by the wind velocity to the same degree, with those quarks lying perpendicular to the wind direction screened most effectively.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The L-dependence of the static potential between Nc quarks arranged in a circle of radius L (a "baryon") immersed in the hot plasma of a gauge theory with Nc colors defines a screening length Ls. | background 0.99 | 0.12 | 0.03 | asserted 0.97 |
| s1 | We use the AdS/CFT correspondence to compute this screening length for the case of heavy quarks in the plasma of strongly coupled N=4 super Yang-Mills theory moving with velocity v relative to the baryon. | method 0.60 | 0.94 | 0.05 | asserted 0.97 |
| s2 | We find that in the v -> 1 limit, Ls \propto (1-v^2)^{1/4}/T, and find that corrections to this velocity dependence are small at lower velocities. | result 1.00 | 0.97 | 0.75 | asserted 1.00 |
| s3 | This result provides evidence for the robustness of the analogous behavior of the screening length defined by the static quark-antiquark pair, which has been computed previously and in QCD is relevant to quarkonium physics in heavy ion collisions. | interpretation 1.00 | 0.32 | 0.14 | hedged possibility 0.69 |
| s4 | Our results also show that as long as the hot wind is not blowing precisely perpendicular to the plane of the baryon configuration that we analyze, the Nc different quarks are not all affected by the wind velocity to the same degree, with those quarks lying perpendicular to the wind direction screened most effectively. | result 1.00 | 0.94 | 0.15 | asserted 1.00 |
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The paper
Original abstract
The L-dependence of the static potential between Nc quarks arranged in a circle of radius L (a "baryon") immersed in the hot plasma of a gauge theory with Nc colors defines a screening length Ls. We use the AdS/CFT correspondence to compute this screening length for the case of heavy quarks in the plasma of strongly coupled N=4 super Yang-Mills theory moving with velocity v relative to the baryon. We find that in the v -> 1 limit, Ls \propto (1-v^2)^{1/4}/T, and find that corrections to this velocity dependence are small at lower velocities. This result provides evidence for the robustness of the analogous behavior of the screening length defined by the static quark-antiquark pair, which has been computed previously and in QCD is relevant to quarkonium physics in heavy ion collisions. Our results also show that as long as the hot wind is not blowing precisely perpendicular to the plane of the baryon configuration that we analyze, the Nc different quarks are not all affected by the wind velocity to the same degree, with those quarks lying perpendicular to the wind direction screened most effectively.
Human review
References
How the literature uses it
19 arXiv papers cite this in 46 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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Related results that we find include the observation that the screening length formula L_s T ~ (1-v^2)^{1/4} obtained previously for other color singlet configurations, is robust for circular baryons as well.
Papers citing it · 26 sentences without a confident label
Uses its method or tool 2 papers
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The action for the D5 brane can be written as [ref] S_D5 = (r_e) V_5 /(2 π)^5 α'^3 , where $V_5$ is the volume of the compact brane and $(r_e)=√(-g_00)$ is the potential for the brane located at $r=r_e$.
High spin baryon in hot strongly coupled plasma · Introduction · 0.80
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To ensure the stability of the baryon we impose further conditions by equating the forces along the spatial plane and the radial direction as in [ref] .
Baryons under Strong Magnetic Fields or in Theories with Space-dependent $\theta$-term · Stability of the State · 0.92
Compares with it 3 papers
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The results here match perfectly with those in [ref] .
Baryon Dissociation in a Strongly Coupled Plasma · Energetics and Screening Lengths · 1.00
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Our results are consistent with the [ref] , and we observe that our screening length is larger than that in [ref] caused by the gluon condensation $q$.
Holographic melting of Heavy Baryons in Plasma with Gluon Condensation · $η$ dependence of $L_s$ · 1.00
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It slightly resembles the phenomena noticed on the baryons moving in a hot plasma wind [ref] .
Baryons under Strong Magnetic Fields or in Theories with Space-dependent $\theta$-term · The Energy and the Dissociation of the Baryon · 1.00
Cites it as support 1 paper
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If we assume that the configuration experiences no drag[ This assumption is supported by the computations involving meson configurations [ref] as well as previously considered baryon configurations [ref] .
Baryon Dissociation in a Strongly Coupled Plasma · Baryon Screening and the AdS Black Hole · 1.00
Cites it as background 9 papers
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Studies of energy loss have been conducted considering various types of partonic probes of the plasma, including quarks [ref] , mesons [ref] , baryons [ref] , gluons [ref] and $k$-quarks [ref] .
Acceleration and Energy Loss in N=4 SYM · Introduction · 0.96
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Baryons in hot plasma in this background had been studied previously [ref] .
Comments on Baryon Melting in Quark Gluon Plasma with Gluon Condensation · Introduction · 0.84
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This question has been studied in a strongly-coupled $𝒩=4$ SYM plasma for a variety of probes, including quarks [ref] , mesons [ref] , baryons [ref] , gluons [ref] and $k$-quarks [ref] .
Radiation Damping in a Non-Abelian Strongly-Coupled Gauge Theory · Motivation · 0.94
What it cites · 51 sentences without a confident label
Builds on 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.
Screening length in plasma winds · Wind parallel to the baryon configuration · 0.95
Uses the method or tool of 4 papers
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As in Refs. [ref] , we regularize the baryon energy by subtracting the energy of (in this case $N_c$) disjoint quarks in a hot plasma wind of velocity $v$, whose strings are dragging behind them in the $x_3$ direction according to the solution found in [ref] .
An AdS/CFT Calculation of Screening in a Hot Wind · Wind perpendicular to the baryon configuration · 0.93
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As in Refs. [ref] , we regularize the baryon energy by subtracting the energy of (in this case $N_c$) disjoint quarks in a hot plasma wind of velocity $v$, whose strings are dragging behind them in the $x_3$ direction according to the solution found in [ref] .
Wilson loops in heavy ion collisions and their calculation in AdS/CFT · Wind perpendicular to the baryon configuration · 0.93
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As in Refs. [ref] , we regularize the baryon energy by subtracting the energy of (in this case $N_c$) disjoint quarks in a hot plasma wind of velocity $v$, whose strings are dragging behind them in the $x_3$ direction according to the solution found in [ref] .
Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma · Wind perpendicular to the baryon configuration · 0.93
Uses data or values from 4 papers
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At zero velocity, $L_s=0.094/T$ as can be obtained from previous results [ref] .
Baryons from Supergravity · Wind perpendicular to the baryon configuration · 0.93
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At $v=0$, $L_s^meson=0.28/T$ [ref] .
Wilson-Polyakov Loop at Finite Temperature in Large N Gauge Theory and Anti-de Sitter Supergravity · Introduction and Summary · 0.88
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Lattice calculations of the static potential between a heavy quark and antiquark in QCD indicate a screening length $L_s ∼0.5/T$ in hot QCD with two flavors of light quarks [ref] and $L_s∼0.7/T$ in hot QCD with no dynamical quarks [ref] .
Static quark anti-quark interactions in zero and finite temperature QCD. I. Heavy quark free energies, running coupling and quarkonium binding · Introduction and Summary · 0.80
Compares with 2 papers
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The only feature in our Fig. [ref] that does not have a direct, almost quantitative, analogue in Ref. [ref] is the very small difference between the curves for the two cases in which the wind direction is perpendicular to the line between the quark and the D5-brane, namely the case in which the wind is parallel to the plane of the baryon configuration and the quark is at $ϕ=π/2$ and the case in which the wind is perpendicular to the plane of the baryon configuration.
Wilson loops in heavy ion collisions and their calculation in AdS/CFT · Wind parallel to the baryon configuration · 0.99
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Their curved shapes are strikingly similar to the shapes of the projections of strings joining a static quark-antiquark in the meson configurations analyzed in Refs. [ref] , although they are not precisely the same.
An AdS/CFT Calculation of Screening in a Hot Wind · Wind parallel to the baryon configuration · 1.00
Cites as background 5 papers
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The simplest example of the AdS/CFT correspondence is provided by the duality between $N=4$ supersymmetric Yang-Mills (SYM) theory and classical gravity in $AdS_5×S_5$ [ref] . $N=4$ super Yang-Mills theory is a conformally invariant theory with two parameters: the rank of the gauge group $N_c$ and the 't Hooft coupling $λ= g_YM^2 N_c$.
The Large N Limit of Superconformal Field Theories and Supergravity · Introduction and Summary · 1.00
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The IR/UV relationship that characterizes the AdS/CFT correspondence [ref] tells us that smaller values of the fifth-dimension coordinate $r$ correspond to larger length scales $R^2/r$ in the (3+1)-dimensional field theory, where $R$ is the curvature of the AdS space.
The Holographic Bound in Anti-de Sitter Space · Introduction and Summary · 0.82
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Many have been considered in lattice investigations [ref] .
Heavy quark free energies for three quark systems at finite temperature · Introduction and Summary · 0.89
Discussion
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