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Spacelike strings and jet quenching from a Wilson loop
High Energy Physics - Theory · Submitted 15 Dec 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that this proposed definition gives zero jet quenching parameter, independent of how the lightlike limit is taken.
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The abstract, sentence by sentence
We investigate stationary string solutions with spacelike worldsheet in a five-dimensional AdS black hole background, and find that there are many branches of such solutions. Using a non-perturbative definition of the jet quenching parameter proposed by Liu et. al., hep-ph/0605178, we take the lightlike limit of these solutions to evaluate the jet quenching parameter in an N=4 super Yang-Mills thermal bath. We show that this proposed definition gives zero jet quenching parameter, independent of how the lightlike limit is taken. In particular, the minimum-action solution giving the dominant contribution to the Wilson loop has a leading behavior that is linear, rather than quadratic, in the quark separation.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We investigate stationary string solutions with spacelike worldsheet in a five-dimensional AdS black hole background, and find that there are many branches of such solutions. | contribution 0.83 | 0.96 | 0.05 | asserted 1.00 |
| s1 | Using a non-perturbative definition of the jet quenching parameter proposed by Liu et. al., hep-ph/0605178, we take the lightlike limit of these solutions to evaluate the jet quenching parameter in an N=4 super Yang-Mills thermal bath. | method 0.95 | 0.88 | 0.05 | asserted 0.96 |
| s2 | We show that this proposed definition gives zero jet quenching parameter, independent of how the lightlike limit is taken. | result 1.00 | 0.92 | 0.83 | asserted 1.00 |
| s3 | In particular, the minimum-action solution giving the dominant contribution to the Wilson loop has a leading behavior that is linear, rather than quadratic, in the quark separation. | result 0.98 | 0.91 | 0.16 | asserted 1.00 |
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The paper
Original abstract
We investigate stationary string solutions with spacelike worldsheet in a five-dimensional AdS black hole background, and find that there are many branches of such solutions. Using a non-perturbative definition of the jet quenching parameter proposed by Liu et. al., hep-ph/0605178, we take the lightlike limit of these solutions to evaluate the jet quenching parameter in an N=4 super Yang-Mills thermal bath. We show that this proposed definition gives zero jet quenching parameter, independent of how the lightlike limit is taken. In particular, the minimum-action solution giving the dominant contribution to the Wilson loop has a leading behavior that is linear, rather than quadratic, in the quark separation.
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References
How the literature uses it
19 arXiv papers cite this in 33 sentences
Papers citing it · 22 sentences without a confident label
Contests it 1 paper
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So, once we have understood how the nonstandard operator ordering in ([ref]) modifies the boundary conditions for the string world sheet, we see that the trivial world sheet of Refs. [ref] and all of its generalizations in Refs. [ref] do not satisfy the correct boundary conditions.
Transverse Momentum Broadening and the Jet Quenching Parameter, Redux · Computation of $q̂$ in strongly coupled $=4$ Supersymmetric Yang Mills theory revisited · contest 0.92
Cites it as support 1 paper
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As pointed out in [ref] , and can be deduced from ([ref]), $v$ is not the proper dipole velocity.
Notes on a SQCD-like plasma dual and holographic renormalization · Jet quenching parameter · 0.96
Cites it as background 9 papers
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There has been the $AdS/CFT$ calculation of jet quenching parameter [ref] and the drag coefficient which describes the energy loss for heavy quarks in $𝒩=4$ supersymmetric Yang-Mills theory [ref] .
Charge effect and finite 't Hooft coupling correction on drag force and Jet Quenching Parameter · Introduction · 0.93
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The energy loss is computed in Refs. [ref] , the momentum broadening is calculated in Refs. [ref] , the jet quenching parameter is evaluated in Ref. [ref] and the stress-tensor of the system is derived in Ref. [ref] .
Heavy-quark energy loss and thermalization in a strongly coupled SYM plasma · Introduction · 0.98
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There has been the AdS/CFT calculation of jet quenching parameter [ref] and the drag coefficient which describes the energy loss for heavy quarks in $𝒩=4$ supersymmetric Yang-Mills theory [ref] .
$R^2$ curvature-squared corrections on drag force · Introduction · 0.96
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