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A Classical String in Lifshitz-Vaidya Geometry
High Energy Physics - Theory · Submitted 4 Jul 2017
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that the expectation value of the Wilson loop oscillates about the value of the static potential with the same parameters after the energy injection is over.
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The abstract, sentence by sentence
We study the time evolution of the expectation value of a rectangular Wilson loop in strongly anisotropic time-dependent plasma using gauge-gravity duality. The corresponding gravity theory is given by describing time evolution of a classical string in the Lifshitz-Vaidya background. We show that the expectation value of the Wilson loop oscillates about the value of the static potential with the same parameters after the energy injection is over. We discuss how the amplitude and frequency of the oscillation depend on the parameters of the theory. In particular, by raising the anisotropy parameter, we observe that the amplitude and frequency of the oscillation increase.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the time evolution of the expectation value of a rectangular Wilson loop in strongly anisotropic time-dependent plasma using gauge-gravity duality. | contribution 0.99 | 0.91 | 0.05 | asserted 0.85 |
| s1 | The corresponding gravity theory is given by describing time evolution of a classical string in the Lifshitz-Vaidya background. | method 0.95 | 0.31 | 0.05 | asserted 1.00 |
| s2 | We show that the expectation value of the Wilson loop oscillates about the value of the static potential with the same parameters after the energy injection is over. | result 1.00 | 0.93 | 0.73 | asserted 1.00 |
| s3 | We discuss how the amplitude and frequency of the oscillation depend on the parameters of the theory. | contribution 0.78 | 0.79 | 0.08 | asserted 0.68 |
| s4 | In particular, by raising the anisotropy parameter, we observe that the amplitude and frequency of the oscillation increase. | result 1.00 | 0.94 | 0.20 | asserted 1.00 |
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The paper
Original abstract
We study the time evolution of the expectation value of a rectangular Wilson loop in strongly anisotropic time-dependent plasma using gauge-gravity duality. The corresponding gravity theory is given by describing time evolution of a classical string in the Lifshitz-Vaidya background. We show that the expectation value of the Wilson loop oscillates about the value of the static potential with the same parameters after the energy injection is over. We discuss how the amplitude and frequency of the oscillation depend on the parameters of the theory. In particular, by raising the anisotropy parameter, we observe that the amplitude and frequency of the oscillation increase.
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How the literature uses it
5 arXiv papers cite this in 7 sentences
Papers citing it · 5 sentences without a confident label
Uses its method or tool 1 paper
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To do so, similar to [ref] , to parametrize the two-dimensional world-sheet of the string, we chose the null coordinates $(u,v)$ on the world-sheet.
Meson Excitation Time as a Probe of Holographic Critical Point · Wilson loop · 1.00
Cites it as background 1 paper
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The time evolution of such measures can be found for example in [ref] .] In a 2-dimensional conformal field theory, mutual information depends on the full operator content of the theory which indicates that this entanglement measure could carry more information about the underlying conformal field theories [ref] .
On universal terms of holographic entanglement entropy in theories with hyperscaling violation · Mutual and Tripartite Informations in Hyperscaling Violating Backgrounds · 0.89
What it cites · 13 sentences without a confident label
Uses the method or tool of 2 papers
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In order to compute string on-shell action we use the numerical method introduced in [ref] .
Dynamical Meson Melting in Holography · In the Lifshitz-Vaidya background · 1.00
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In order to compute string on-shell action we use the numerical method introduced in [ref] .
Evolution of Wilson Loop in Time-Dependent N=4 Super Yang-Mills Plasma · In the Lifshitz-Vaidya background · 1.00
Compares with 1 paper
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This result is in agreement with the similar one reported in [ref] .
Evolution of Wilson Loop in Time-Dependent N=4 Super Yang-Mills Plasma · Numerical results · 0.94
Cites as background 6 papers
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Vaidya solutions in the Lifshitz-like background have been found in [ref] .
Analytic black branes in Lifshitz-like backgrounds and thermalization · Introduction and Result · 0.88
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According to this duality, a strongly coupled gauge theory defined in a $d$-dimensional space-time corresponds to a classical gravity in a $d+1$-dimensional space-time [ref] .
Gauge/String Duality, Hot QCD and Heavy Ion Collisions · Introduction and Result · 0.95
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This duality has been frequently applied to study various aspects of the strongly coupled systems such as static potential energy between a quark and anti-quark pair [ref] , jet quenching parameter [ref] , thermalization and isotropization process [ref] .
Various Time-Scales of Relaxation · Introduction and Result · 0.93
Discussion
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