Evolution of Wilson loop in time-dependent<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:mrow></mml:math>super Yang-Mills plasma

Ali-Akbari, M.; Charmchi, Farid; Davody, Ali; Ebrahim, Hajar; Shahkarami, Leila

doi:10.1103/physrevd.93.086005

Cited by 12 publications

(16 citation statements)

References 28 publications

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“…These oscillations indicate that bound state is excited by energy injection. This result is in agreement with the similar one reported in [10]. Note that since there is no energy dissipation, the excited meson is stable.…”

Section: Numerical Resultssupporting

confidence: 93%

“…The holographic dual of the rectangular Wilson loop is given by a classical string suspended from two points (corresponding to quark and anti-quark), hanging down in extra dimension with appropriate boundary conditions. Using this idea, static potential energy is studied in different gauge theories with holographic duals and it recently generalizes to a time-dependent case in [10]. In the time-dependent case, the time evolution of the expectation value of the Wilson loop during the energy injection into the gauge theory is investigated.…”

Section: Introduction and Resultsmentioning

confidence: 99%

“…In order to compute string on-shell action we use the numerical method introduced in [10,19]. To do so, we use the null coordinates (u, v) on the string world-sheet.…”

Section: In the Lifshitz-vaidya Backgroundmentioning

confidence: 99%

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A Classical String in Lifshitz–Vaidya Geometry

2018

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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. 1 a − hajilou@sbu.ac.ir 2 m − aliakbari@sbu.ac.ir 3 charmchi@ipm.ir

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Section: Numerical Resultssupporting

confidence: 93%

Section: Introduction and Resultsmentioning

confidence: 99%

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A Classical String in Lifshitz–Vaidya Geometry

2018

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“…The largest penetration depth ∆x reached by a quark with energy E before thermalizing turns out to be an increasing function of the energy: the scaling law ∆x ∝ E 1/3 has been determined [19], and an analytical proof that the penetration depth for a light quark is bounded by the curve ∆x = const · E 1/3 has been provided [18]. For light quarks, the energy loss has been found to be sensitive to the initial conditions, and a peak before thermalization has been observed, sometimes denoted as explosive burst of energy [18].For a quarkonium moving in the plasma, the screening length has been evaluated by a Wilson loop computation [20][21][22], and the Wilson loop in the Vaidya geometry has also been examined [23]. Here, we look at the real-time evolution of a string stretched between two endpoints (representing the heavy quark and antiquark) kept close to the boundary.…”

mentioning

confidence: 99%

“…For a quarkonium moving in the plasma, the screening length has been evaluated by a Wilson loop computation [20][21][22], and the Wilson loop in the Vaidya geometry has also been examined [23]. Here, we look at the real-time evolution of a string stretched between two endpoints (representing the heavy quark and antiquark) kept close to the boundary.…”

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confidence: 99%

Quarkonium dissociation in a far-from-equilibrium holographic setup

et al. 2017

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The real-time dissociation of the heavy quarkonium in a strongly coupled boost-invariant nonAbelian plasma relaxing towards equilibrium is analyzed in a holographic framework. The effects driving the plasma out of equilibrium are described by boundary quenching, impulsive variations of the boundary metric. Quarkonium is represented by a classical string with endpoints kept close to the boundary. The evolution of the string profile is computed in the time-dependent geometry, and the dissociation time is evaluated for different configurations with respect to the direction of the plasma expansion. Dissociation occurs quickly for the quarkonium placed in the transverse plane.PACS numbers: 12.38. Mb, 11.25.Tq The discovery that the QCD matter produced in ultrarelativistic heavy ion collisions behaves as a hightemperature, nearly frictionless, strongly coupled fluid raises new questions, both to experiment and theory [1]. On the one hand, through the study of new production modes and observables it is important to identify the smallest size of the QCD system characterized by this behavior, interpreting the hints of collective features observed in high energy pp and pA collisions [2]. On the other hand, the real-time dynamics of the relaxing fluid needs to be quantitatively described, starting from the far-from-equilibrium state produced immediately after the collision and relaxing towards a hydrodynamic regime: this issue is difficult to face using traditional theoretical techniques, which deal either with weakly coupled systems or, as in lattice QCD, with systems at equilibrium in the Euclidean time. The importance of theoretical analyses of processes occurring in outof-equilibrium matter has been recently emphasized [3]. Among those phenomena, the heavy quarkonium dissociation plays a role in the characterization of the plasma, since it can be interpreted as a signature of deconfinement [4].Gauge/gravity duality [5][6][7] ("holographic") methods provide tools to describe out-of-equilibrium strongly coupled systems, mapping the dynamics of a gauge system into a gravity problem. Although the existence of a gravitational dual of QCD has not been established, yet, insights can be gained by the study of theories sharing various properties with QCD. In particular, a plasma of N = 4 supersymmetric Yang-Mills theory (SYM), similarly to the QCD plasma (QGP), is nonconfined and strongly interacting. Adopting the gauge/gravity approach the gravitational dual of N = 4 SYM in the large N c limit, the ten dimensional AdS 5 × S 5 space, can be considered, with a black-hole (BH) to describe the boundary theory at finite temperature 1 .In this framework, quarks can be treated as dual to open strings in the higher dimensional space [11]. Their in-medium dynamics is described starting from the initial configuration of a classical string in the dual space, and following the string evolution dictated by the equations of motion resulting from the Nambu-Goto action.Different configurations have been considered in a static gravitational...

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Boundary driven turbulence on string worldsheet

Ishii,

Murata,

Yoshida

2024

J. High Energ. Phys.

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We study the origin of turbulence on the string worldsheet with boundaries laid in anti de Sitter (AdS) spacetime. While the classical motion of a single closed string in AdS is integrable, it has recently been recognized that weak turbulence arises in the case of an open string suspended from the AdS boundary. In the open string case, it is necessary to impose boundary conditions on the worldsheet boundaries. We classify which boundary conditions preserve integrability. Based on this classification, we anticipate that turbulence may occur on the string worldsheet if integrability is not guaranteed by the boundary conditions. Numerical investigations of the classical open-string dynamics support that turbulence occurs when the boundary conditions are not integrable.

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Evolution of Wilson loop in time-dependentN=4super Yang-Mills plasma

Cited by 12 publications

References 28 publications

A Classical String in Lifshitz–Vaidya Geometry

A Classical String in Lifshitz–Vaidya Geometry

Quarkonium dissociation in a far-from-equilibrium holographic setup

Boundary driven turbulence on string worldsheet

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