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## Heavy quark diffusion in strongly coupled anisotropic plasmas

Venue: | JHEP 1406 (2014) 047; [arXiv:1312.7474 |

Citations: | 3 - 0 self |

### Citations

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Citation Context ...the Heavy Ion Colliders. The relevant findings suggest that the QGP is strongly coupled [1–3] and therefore a promising approach to study these phenomena is by the use of gauge/gravity correspondence =-=[4, 5]-=-, where a recent review may be found in [6]. The QGP goes through different phases in a short period of time. Before it reaches the isotropic phase, it goes through an anisotropic, both in momentum an... |

2343 |
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- Witten
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Citation Context ...the Heavy Ion Colliders. The relevant findings suggest that the QGP is strongly coupled [1–3] and therefore a promising approach to study these phenomena is by the use of gauge/gravity correspondence =-=[4, 5]-=-, where a recent review may be found in [6]. The QGP goes through different phases in a short period of time. Before it reaches the isotropic phase, it goes through an anisotropic, both in momentum an... |

231 | Energy loss of a heavy quark moving through - Herzog, Karch, et al. - 2006 |

124 | Heavy quark diffusion in strongly coupled - Casalderrey-Solana, Teaney |

96 | Drag force - Gubser |

86 |
Universality of the hydrodynamic limit
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Citation Context ... − coth ω 2Tws ImGR(ω) = −2Tws lim ω→0 ImGaR(ω) ω . (2.16) where GR is the anti-symmetrized retarded correlator. A direct way to calculate the diffusion coefficients is by using the membrane paradigm =-=[49]-=- for the world-sheet action. A fluctuation φ in the bulk of a generic theory leads to an action of the form S2 = −1 2 ∫ dxdu √−gq(u)gαβ∂αφ∂βφ , (2.17) then the relevant transport coefficients associat... |

74 | What RHIC experiments and theory tell us about properties of quark-gluon plasma - Shuryak - 2005 |

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67 | Momentum fluctuations of heavy quarks in the gauge-string duality
- Gubser
- 2008
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Citation Context ...e case of the anisotropic plasmas, the direction of motion affects the world-sheet temperature. To calculate the Langevin coefficients we add fluctuations in classical trailing string solutions as in =-=[36]-=-. We choose the static gauge and consider the following form of fluctuations t = σ , u = σ , xp = v t+ ξ(σ) + δxp(τ, σ) , xi 6=p = δxi 6=p(τ, σ) . (2.10) The induced metric on the world-sheet is given... |

60 | Energy flow, partial equilibration, and effective temperatures in systems with slow dynamics
- Cugliandolo, Kurchan, et al.
- 1997
(Show Context)
Citation Context ...he isotropic case, that these are thermal with the temperature Tws which was argued to correspond to the temperature measured by the quark moving in the plasma via the fluctuation-dissipation theorem =-=[44, 48]-=-. Then we study the spectral densities for low frequencies compared to the temperature, using the membrane paradigm. We review and apply the completely generic formalism developed in [46] and addition... |

46 | Afanasiev et al., “Formation of dense partonic matter in relativistic nucleus–nucleus collisions at RHIC: experimental evaluation by the PHENIXCollaboration,” - Adcox, Adler, et al. - 2005 |

42 |
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- Chesler, Yaffe
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Citation Context .... Short times of order 2fm are predicted using conformal viscus hydrodynamics where the values depend strongly on the initial – 1 – conditions. However, holographic models predict lower times ∼ 0.3fm =-=[7]-=-. The anisotropic phase of the plasma is followed by a longer lasting isotropic phase. Several observables in this phase have been studied extensively using the gauge/gravity correspondence. Recently,... |

40 | et al., “Experimental and theoretical challenges in the search for the quark gluon plasma: The STAR collaboration’s critical assessment of the evidence from RHIC collisions,” Nucl. Phys. A757 - Collaboration, Adams - 2005 |

38 | Stochastic trailing string and Langevin dynamics from AdS/CFT - Giecold, Iancu, et al. |

33 |
Thermodynamics and Instabilities of a Strongly Coupled Anisotropic Plasma
- Mateos, Trancanelli
(Show Context)
Citation Context ...s and the findings depend on the details of the anisotropic theory we study. In our paper we consider two models to study the anisotropic motion, the top down space dependent axion deformed N = 4 sYM =-=[10]-=- and the bottom-up anisotropic model [8]. Both geometries contain one anisotropic space direction and an SO(2) isotropic plane. We extensively analyze the coefficients in the top-down model in the who... |

33 | Violation of the Holographic Viscosity Bound in a Strongly Coupled Anisotropic Plasma, Phys.Rev.Lett - Rebhan, Steineder - 2012 |

27 | The anisotropic N=4 super Yang-Mills plasma and its instabilities,” [arXiv:1105.3472 [hep-th - Mateos, Trancanelli |

25 | Towards the description of anisotropic plasma at strong coupling
- Janik, Witaszczyk
- 2008
(Show Context)
Citation Context ...of the anisotropic theory we study. In our paper we consider two models to study the anisotropic motion, the top down space dependent axion deformed N = 4 sYM [10] and the bottom-up anisotropic model =-=[8]-=-. Both geometries contain one anisotropic space direction and an SO(2) isotropic plane. We extensively analyze the coefficients in the top-down model in the whole range of anisotropies. A reason that ... |

20 | Probing strongly coupled anisotropic plasma
- Giataganas
- 2012
(Show Context)
Citation Context ...erent types of the background geometry and certain Langevin coefficients. The equations of motion for the trailing string for motion in both transverse and anisotropic directions have been studied in =-=[12, 13]-=-. Along each direction we find a different string solution stretching inside the bulk and that the 2-dim induced metric has a worldsheet black 1Anisotropic hydrodynamical models are also attracting in... |

18 | Drag force in a strongly coupled anisotropic plasma - Chernicoff, Fernandez, et al. |

17 | Relativistic Brownian motion
- Dunkel, Hänggi
(Show Context)
Citation Context ...servables that are important for the plasma, where a summary related to their physics can be found in [32]. Moreover a more mathematical approach to the Langevin diffusion coefficients is reviewed in =-=[33]-=-. It has been an extensive study of the Langevin diffusion coefficients of heavy quarks in several gauge/gravity dualities initiated in [34–41], and further extended in [42–45]. A completely generic a... |

17 |
Langevin diffusion of heavy quarks in non-conformal holographic backgrounds,” arXiv:1006.3261 [hep-th
- Gursoy, Kiritsis, et al.
(Show Context)
Citation Context ... therefore the corresponding world-sheet temperature as well. In the usual conformal case the Tws is less than the heat bath temperature in several setups, leading to holographic refrigerator systems =-=[44, 47]-=-. In the anisotropic case we find that this inequality may be inverted, depending on the direction of motion of the quark, the degree of anisotropy and the speed of motion. By considering the fluctuat... |

16 | Jet quenching in a strongly coupled anisotropic plasma - Chernicoff, Fernandez, et al. |

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15 |
Drag and jet quenching of heavy quarks in a strongly coupled
- Hoyos-Badajoz
(Show Context)
Citation Context ...es the diffusion and friction coefficients satisfy a version of the Einstein relations of the form κT ηD,T = 2Mq γ Tws . (2.25) For isotropic backgrounds this result is similar to the one obtained in =-=[43, 44]-=-. 3 Anisotropic backgrounds 3.1 Space-dependent Axion Deformed Background The anisotropic background used here is a top-down model which is a solution to the type IIB supergravity equations. In the du... |

14 |
Electromagnetic signatures of a strongly coupled anisotropic plasma, JHEP 1108
- Rebhan, Steineder
- 2011
(Show Context)
Citation Context ...ameters. For low values of ∆ an analytic relation may be found with the parameter a of the axion deformed anisotropic theory [12] ∆ ≃ a 2 2pi2T 2 (6.2) and with the parameter B in the bottom-up model =-=[31, 50]-=- ∆ ≃ B . (6.3) for low anisotropies. For larger anisotropies using the same techniques, the computation may be done numerically. In order to understand the comparison we need to investigate the type o... |

13 | Probing Two Holographic Models of Strongly Coupled Anisotropic - Rebhan, Steineder |

12 | Thermal photon production in a strongly coupled anisotropic plasma - Patino, Trancanelli |

11 |
Observables in Strongly Coupled Anisotropic Theories
- Giataganas
(Show Context)
Citation Context ...hase have been studied extensively using the gauge/gravity correspondence. Recently, these studies were extended in the anisotropic phase of the plasma [8–25], 1 where a recent review may be found in =-=[31]-=-. Here, we extend them further by examining the Langevin dynamics of a moving quark in the anisotropic plasma. The out of equilibrium heavy quarks go under a Brownian like motion with a stohastic forc... |

9 | Holographic quark-antiquark potential in hot, anisotropic Yang-Mills plasma - Chakraborty, Haque |

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4 | The Imaginary Part of the Static - Fadafan, Giataganas, et al. |

3 | More on thermal probes of a strongly coupled anisotropic plasma - Jahnke, Luna, et al. |

3 | Testing viscous and anisotropic hydrodynamics in an exactly solvable case,” Phys - Florkowski, Ryblewski, et al. |

2 | Quarkonium dissociation by anisotropy, JHEP 1301 - Chernicoff, Fernandez, et al. - 2013 |

2 | Thermal Noise and Stochastic - Son, Teaney |

2 | The confining trailing string - Kiritsis, Mazzanti, et al. |

1 | Anisotropic hydrodynamics for ultra-relativistic heavy-ion collisions, J.Phys. G40 - Ryblewski - 2013 |

1 | Highly-anisotropic hydrodynamics - Ryblewski, Florkowski |