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## Improved Holographic QCD

Citations: | 1 - 0 self |

### Citations

1079 | Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
- Witten
- 1998
(Show Context)
Citation Context ...e black-hole mass and entropy are finite8. The black holes are dual to a deconfined phase, since the string tension vanishes at the horizon, and the Polyakov loop has non-vanishing expectation value (=-=[52, 53]-=-). On the other hand, the thermal gas background is confining. The thermodynamics of the deconfined phase is dual to the 5D black-hole thermodynamics. The free energy, defined as F = E − TS, (2.8) is ... |

265 |
Starinets, Shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma
- Policastro, Son, et al.
(Show Context)
Citation Context ...w the QCD transition (or crossover) where it finally hadronizes. Relativistic hydrodynamics describes very well the QGP [2], with a shearviscosity to entropy density ratio close to that of N = 4 SYM, =-=[3]-=-. The QGP is at strong coupling, and it necessitates a treatment beyond perturbative QCD approaches, [4]. Moreover, although the shear viscosity from N = 4 seems to be close to that “measured” by expe... |

230 | Energy loss of a heavy quark moving through N = 4 supersymmetric Yang-Mills plasma
- Herzog, Karch, et al.
- 2006
(Show Context)
Citation Context ... for glue correlators and therefore transport coefficients are ill-defined. Similar remarks hold for other phenomenologically interesting observables as the drag force and the jet quenching parameter =-=[9, 10, 11, 12]-=-. Top-down holographic models of QCD displaying all relevant features of the theory have been difficult to obtain. Bottom-up models based on AdS slices [13] have given some insights mostly in the meso... |

195 | Starinets, “Viscosity in strongly interacting quantum field theories from black hole physics - Kovtun, Son, et al. - 2005 |

158 |
Calculating the jet quenching parameter from AdS/CFT
- Liu, Rajagopal, et al.
(Show Context)
Citation Context ... while perturbative approaches are trustworthy at much lower values. – 5 – Several attempts were made to compute quark energy loss in the holographic context, relevant for N = 4 SYM3. In some of them =-=[39, 40]-=- the jet-quenching coefficient q̂ was calculated via its relationship to a light-like Wilson loop. Holography was then used to calculate the appropriate Wilson loop. The q̂ obtained scales as √ λ and ... |

143 |
QCD and a holographic model of hadrons,” Phys
- Erlich, Katz, et al.
(Show Context)
Citation Context .... On the other hand, approaches based on holography have the potential to address directly the real-time strong coupling physics relevant for experiment. In the bottom-up holographic model of AdS/QCD =-=[7]-=-, the bulk viscosity is zero as conformal invariance is essentially not broken (the stress tensor is traceless). In the soft-wall model [8], no reliable calculation can be done for glue correlators an... |

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

115 | Exploring improved holographic theories for QCD: Part I”,
- Gürsoy, Kiritsis
- 2008
(Show Context)
Citation Context ...ottom-up models based on AdS slices [13] have given some insights mostly in the meson sector, [7] but necessarily lack many important holographic features of QCD. A hybrid approach has been advocated =-=[14, 15]-=- combining features of bottom-up and top-down models. An similar approach was proposed independently in [16]. Such an approach, called Improved Holographic QCD (or IHQCD for short) is essentially a fi... |

104 |
Drag force in AdS/CFT,” Phys
- Gubser
- 2006
(Show Context)
Citation Context ... for glue correlators and therefore transport coefficients are ill-defined. Similar remarks hold for other phenomenologically interesting observables as the drag force and the jet quenching parameter =-=[9, 10, 11, 12]-=-. Top-down holographic models of QCD displaying all relevant features of the theory have been difficult to obtain. Bottom-up models based on AdS slices [13] have given some insights mostly in the meso... |

102 |
Experimental and theoretical challenges in the search for the quark-gluon plasma: the STAR collaboration’s critical assessment of the evidence from RHIC collisions,"
- Hallman, Adams, et al.
- 2005
(Show Context)
Citation Context ...mperature matching and diffusion time estimates 46 8. Jet quenching parameter 48 9. Discussion and outlook 54 Acknowledgements 58 References 59 – 1 – 1. Introduction The experimental efforts at RHIC, =-=[1]-=- have provided a novel window in the physics of the strong interactions. The consensus on the existing data is that shortly after the collision, a ball of quark-gluon plasma (QGP) forms that is at the... |

84 | Relativistic viscous hydrodynamics, conformal invariance, and holography,” JHEP 0804
- Baier, Romatschke, et al.
- 2008
(Show Context)
Citation Context ... viscosity. QCD on the other hand is not 2These are the leading transport coefficients in the derivative expansion. There are subleading coefficients that have been calculated recently for N = 4 SYM, =-=[27]-=-. However, at the present level of accuracy, they cannot affect substantially the comparison to experimental data, [2]. – 4 – a conformal theory. The classical theory is however conformally invariant ... |

81 |
Chiral symmetry breaking as open string tachyon condensation,” arXiv:hep-th/0702155.
- Casero, Kiritsis, et al.
- 2007
(Show Context)
Citation Context ...stem with a non-trivial dilaton potential. Flavor can be eventually added in the form of Nf space-time filling D4−D4 brane pairs, supporting U(Nf )L × U(Nf )R gauge fields and a bi-fundamental scalar =-=[17]-=-. The UV asymptotics of the potential are fixed by QCD perturbation theory, while the IR asymptotics of the potential can be fixed by confinement and linear glueball asymptotics. An analysis of the fi... |

76 |
Wilson loops in heavy ion collisions and their calculation in AdS/CFT,” hep-ph/0612168
- Liu, Rajagopal, et al.
(Show Context)
Citation Context ... while perturbative approaches are trustworthy at much lower values. – 5 – Several attempts were made to compute quark energy loss in the holographic context, relevant for N = 4 SYM3. In some of them =-=[39, 40]-=- the jet-quenching coefficient q̂ was calculated via its relationship to a light-like Wilson loop. Holography was then used to calculate the appropriate Wilson loop. The q̂ obtained scales as √ λ and ... |

74 |
Photon and dilepton production in supersymmetric Yang-Mills plasma.
- Huot, Kovtun, et al.
- 2006
(Show Context)
Citation Context ...he transport properties mentioned above have been successfully computed in N = 4 SYM and a lot of debate is still waged as to how they can be applied to QCD in the appropriate temperature range, [11],=-=[50]-=-,[51]. A holographic description of QCD has been elusive, and the best we have so far have been simple bottom up models. In the simplest bottom-up holographic model known as AdS/QCD [7], the bulk visc... |

68 |
Hard scattering and gauge/string duality,” Phys
- Polchinski, Strassler
- 2002
(Show Context)
Citation Context ... and the jet quenching parameter [9, 10, 11, 12]. Top-down holographic models of QCD displaying all relevant features of the theory have been difficult to obtain. Bottom-up models based on AdS slices =-=[13]-=- have given some insights mostly in the meson sector, [7] but necessarily lack many important holographic features of QCD. A hybrid approach has been advocated [14, 15] combining features of bottom-up... |

67 | Momentum fluctuations of heavy quarks in the gauge-string duality
- Gubser
- 2008
(Show Context)
Citation Context ...librium relativistic Boltzmann distribution, provides an Einstein relation that is pathological at large temperatures. Second, the transverse and longitudinal diffusion coefficients are not the same, =-=[45]-=-. A first derivation of such Langevin dynamics from holography was given in [45]. This has been extended in [48] where the thermal-like noise was associated and interpreted in terms of the world-sheet... |

66 |
Glueball Spectrum from an Anisotropic Lattice
- Morningstar, Peardon
- 1999
(Show Context)
Citation Context ...niversal as one goes to higher – 22 – the lowest 0++, 0−+, 2++ glueballs and their available excited states. These are limited to one for each spin 0 species, and none for the spin 2, in the study of =-=[61]-=-, which is the one we use for our comparison. This provides two mass ratios in the CP-even sector and two in the CP-odd sector. The glueball masses are computed by first solving numerically the zero-t... |

65 | Q anti-Q potential from strings in curved space-time: Classical results,” Nucl.Phys. B566 (2000) 103–125, arXiv:hep-th/9811192 [hep-th
- Kinar, Schreiber, et al.
(Show Context)
Citation Context ...e black-hole mass and entropy are finite8. The black holes are dual to a deconfined phase, since the string tension vanishes at the horizon, and the Polyakov loop has non-vanishing expectation value (=-=[52, 53]-=-). On the other hand, the thermal gas background is confining. The thermodynamics of the deconfined phase is dual to the 5D black-hole thermodynamics. The free energy, defined as F = E − TS, (2.8) is ... |

59 | Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at √ (sNN
- Luzum, Romatschke
(Show Context)
Citation Context ...t thermal equilibrium, and subsequently expands until its temperature falls below the QCD transition (or crossover) where it finally hadronizes. Relativistic hydrodynamics describes very well the QGP =-=[2]-=-, with a shearviscosity to entropy density ratio close to that of N = 4 SYM, [3]. The QGP is at strong coupling, and it necessitates a treatment beyond perturbative QCD approaches, [4]. Moreover, alth... |

54 | Universal hydrodynamics of non-conformal branes
- Kanitscheider, Skenderis
(Show Context)
Citation Context ... the bound is proposed to hold in the entire range of temperature from Tc to ∞. This bound is trivially satisfied for exact conformal theories such as N = 4 YM, and saturated in theories on Dp branes =-=[78, 79]-=-. With the numerical evaluation at hand, we can check (6.26) in our case. In figure 18 (a) we plot the LHS and RHS of the bound 26. We clearly see that the bound is satisfied for all temperatures. As ... |

49 | Radiative energy loss of high energy quarks and gluons in a finite-volume quark-gluon plasma
- Baier, Dokshitzer, et al.
- 1997
(Show Context)
Citation Context ...are also expected to play an important role in LHC [35]. A perturbative QCD approach to calculate the energy loss of a heavy quark in the plasma has been pursued by calculating radiative energy loss, =-=[36]-=-. However its application to the RHIC plasma has recently raised problems, based on comparison with data. A phenomenological coefficient used in such cases is known as the jet quenching coefficient q̂... |

48 | How much do heavy quarks thermalize in a heavy ion collision?,” Phys. Rev. C71 - Moore, Teaney - 2005 |

48 |
viscosity of gauge theory plasma at strong coupling, Phys.Lett. B663 (2008) 286-289, arXiv:0708.3459 [hep-th]; A.Buchel, Violation of the holographic bulk viscosity bound
- Buchel
(Show Context)
Citation Context ...l grounds that the de-confinement phase transition happens near this point, i.e. ϕc ≈ ϕ∗. Thus, the adiabatic formula predicts that ζ/s(ϕc) be close to the limit value 1/6pi. 25 6.4 Buchel’s bound In =-=[78]-=-, Buchel proposed a bound for the ratio of the bulk and shear viscosities, motivated by certain well-understood holographic examples. In 4 space-time dimensions the Buchel bound reads, ζ η ≥ 2 ( 1 3 −... |

47 |
Mimicking the QCD equation of state with a dual black hole,” Phys. Rev. D 78, 086007
- Gubser, Nellore
- 2008
(Show Context)
Citation Context ...ides with λc to a very high accuracy. Whether this is just a coincidence or not, remains to be clarified. 6.3 The adiabatic approximation Motivated by the Chamblin-Reall solutions [77], Gubser et al. =-=[16]-=- proposed an approximate adiabatic formula for the speed of sound. In the case when V ′/V is a slowly varying function of ϕ, [16] proposes the following formulae for the entropy density and the temper... |

42 |
A Calculation of the shear viscosity
- Meyer
(Show Context)
Citation Context ...s opposed to the Ricci tensor of the scalar curvature). In QCD, as the theory is strongly coupled in the temperature range Tc ≤ T ≤ 3Tc, we would expect that η/s ' 14pi . Recent lattice calculations, =-=[28]-=- agree with this expectations although potential systematic errors in lattice calculations of transport coefficients can be large. Conformal invariance forces the bulk viscosity to vanish. Therefore t... |

41 | Thermodynamics of the QCD plasma and the large-N limit”,
- Panero
- 2009
(Show Context)
Citation Context ...ecreases. The best fit corresponds to the values 16See e.g. [57], in which results for Nc = 8 do not different significantly from those for Nc = 3 as well as the recent high-precision data by Panero, =-=[58]-=-. – 18 – 0.4 0.8 1.2 Λh -0.04 -0.02 0.02 F Nc2V3HTminL4 Figure 3: The free energy density in units of Tmin, as a function of λh Λc 0.4 0.8 1.2 Λh 0.2 0.4 0.6 0.8 1 S Nc2V3HTminL3 Figure 4: Entropy den... |

40 | D-brane probes and thermal super Yang-Mills: A comparison,” JHEP9910 - Kiritsis, “Supergravity - 1999 |

38 | Finite temperature spectral densities of momentum and R-charge correlators - Teaney - 2006 |

38 |
Stochastic trailing string and Langevin dynamics from AdS/CFT
- Giecold, Iancu, et al.
(Show Context)
Citation Context ...the string. This can be the starting point of a Langevin evolution system, as the process of energy loss has a stochastic character, as was first pointed out in [41] and more recently pursued in [42]-=-=[48]-=-. Such a system involves a classical force, that in this case is the drag force, and a stochastic noise that is taken to be Gaussian and which is characterized by a diffusion coefficient. There are tw... |

38 | Bulk viscosity of strongly coupled plasmas with holographic duals
- Gubser, Pufu, et al.
(Show Context)
Citation Context ...s technically more involved. A recent treatment of the fluctuation equation governing the scalar mode of a general Einstein-Dilaton system can be found in [73]. Here, we follow the method proposed by =-=[74]-=-. As explained in [74], one only needs to examine the equations of motion in the gauge r = Φ, where the radial coordinate is equal to the dilaton. In our type of metrics, the applicability of this met... |

36 |
A Holographic Prediction of the Deconfinement Temperature”,
- Herzog
- 2007
(Show Context)
Citation Context ...l model; as such it is not directly associated to an explicit string theory construction. In this respect it is in the same class as the models based on pure AdS backgrounds (with hard or soft walls) =-=[7, 8, 87, 88]-=-, or on IR deformations of the AdS metric [89, 90]. In comparison to them however, the IHQCD approach has the advantage – 54 – TQGP ,MeV q̂bottom (GeV 2/fm) q̂bottom (GeV 2/fm) q̂bottom (GeV 2/fm) (di... |

34 | Energy loss in a strongly coupled thermal medium and the gauge-string duality,” arXiv:0902.4041 [hep-th
- Gubser, Pufu, et al.
(Show Context)
Citation Context ...ing parameter. The shear viscosity of IHQCD is the same as that of N = 4 SYM, as the model is a two derivative model. Although this is not a good approximation in the UV of QCD, 3Most are reviewed in =-=[38]-=-. – 6 – it is expected to be a good approximation in the energy range Tc ≤ T ≤ 5Tc. The bulk viscosity in IHQCD rises near the phase transition but ultimately stays slightly below the shear viscosity.... |

32 |
The Deconfining phase transition
- Liddle, Teper
- 2008
(Show Context)
Citation Context ...he critical value of the dilaton field at at the horizon An additional quantity of relevance is the value for the “dimensionless” latent heat per unit volume, Lh/T 4 c which for large Nc was found in =-=[59]-=- to be (Lh/T 4 c )lat = 0.31N 2 c . The result for N2c = 3 is slightly lower ( ' 0.28N2c ). As already noted in [18, 19], the qualitative features of the thermodynamic functions are generically reprod... |

31 |
Holography of radiation and jet quenching,” Phys
- Sin, Zahed
(Show Context)
Citation Context ...ansport properties mentioned above have been successfully computed in N = 4 SYM and a lot of debate is still waged as to how they can be applied to QCD in the appropriate temperature range, [11],[50],=-=[51]-=-. A holographic description of QCD has been elusive, and the best we have so far have been simple bottom up models. In the simplest bottom-up holographic model known as AdS/QCD [7], the bulk viscosity... |

31 |
Behavior of charmonium systems after deconfinement,
- Datta, Karsch, et al.
- 2004
(Show Context)
Citation Context ...horizon is smaller. An indication that this result may be in the right direction comes from the lattice computation of the shift in the position of the quarkonium resonance peak at finite temperature =-=[85]-=-: in the deconfined phase the charmonium peak moves to lower mass at higher temperature. Our result for the medium-induced shift in the constituent quark mass is consistent with these observations. b ... |

30 | Physics of Strongly coupled Quark-Gluon Plasma
- Shuryak
(Show Context)
Citation Context ...ry well the QGP [2], with a shearviscosity to entropy density ratio close to that of N = 4 SYM, [3]. The QGP is at strong coupling, and it necessitates a treatment beyond perturbative QCD approaches, =-=[4]-=-. Moreover, although the shear viscosity from N = 4 seems to be close to that “measured” by experiment, lattice data indicate that in the relevant RHIC range 1 ≤ TTc ≤ 3 the QGP seems not to be a full... |

30 | Dynamic dilatonic domain walls - Chamblin, Reall - 1999 |

29 | Improved Holographic Yang-Mills at Finite Temperature: Comparison with Data”, Nucl.Phys.
- Gürsoy, Kiritsis, et al.
- 2010
(Show Context)
Citation Context ...[21] and large-Nc expectations. The analysis performed in [19] was completely general and did not rely on any specific form of the dilaton potential V (λ). A detailed analysis of an explicit model in =-=[22]-=- shows that the thermodynamics matches quantitatively the thermodynamics of pure Yang-Mills theory. The (dimensionless) free energy, entropy density, latent heat and speed of sound, obtained on the gr... |

27 | et al. [PHENIX Collaboration], “Formation of dense partonic matter in relativistic nucleus nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration,” Nucl. Phys. A 757 - Adcox - 2005 |

27 | SU(N) gauge theories in four-dimensions: Exploring the approach to - Lucini, Teper - 2001 |

24 |
A Calculation of the bulk viscosity
- Meyer
(Show Context)
Citation Context ...y experiment, lattice data indicate that in the relevant RHIC range 1 ≤ TTc ≤ 3 the QGP seems not to be a fully conformal fluid. Therefore the bulk viscosity may play a role near the phase transition =-=[5, 6]-=-. The lattice techniques have been successfully used to study the thermal behavior of QCD, however they are not easily extended to the computation of hydrodynamic quantities. They can be used however,... |

24 | Dynamics of anti-de Sitter domain walls, JHEP 9912 - Kraus - 1999 |

23 |
Energy loss and flow of heavy quarks
- Adare, Afanasiev, et al.
- 2007
(Show Context)
Citation Context ...s are of extra importance, as their mass masks some low-energy strong interaction effects, and can be therefore cleaner probes of plasma energy loss. There are important electron observables at RHIC, =-=[34]-=- that can probe heavy-quark energy loss in the strongly coupled quark-gluon plasma. Such observables are also expected to play an important role in LHC [35]. A perturbative QCD approach to calculate t... |

18 |
Universal properties of bulk viscosity near the QCD phase transition,” Phys
- Karsch, Kharzeev, et al.
(Show Context)
Citation Context ...y experiment, lattice data indicate that in the relevant RHIC range 1 ≤ TTc ≤ 3 the QGP seems not to be a fully conformal fluid. Therefore the bulk viscosity may play a role near the phase transition =-=[5, 6]-=-. The lattice techniques have been successfully used to study the thermal behavior of QCD, however they are not easily extended to the computation of hydrodynamic quantities. They can be used however,... |

18 |
Bulk viscosity of QCD matter near the critical temperature
- Kharzeev, Tuchin
(Show Context)
Citation Context ...ems not to be a fully conformal fluid. Therefore the bulk viscosity may play a role near the phase transition. So far there have been two approaches that have calculated the bulk viscosity in YM/QCD, =-=[29, 30, 31, 32]-=- and have both indicated that the bulk viscosity rises near the phase transition as naive expectation would suggest. The first used the method of sum rules in conjunction with input from Lattice therm... |

18 | Heavy-quark probes of the quark–gluon plasma and interpretation of recent data taken at the BNL relativistic heavy ion collider, Phys - Hees, Greco, et al. - 2006 |

16 |
Diffusion of charmed quark in the quark-gluon plasma,” Phys. Rev. D37
- Svetitsky
- 1988
(Show Context)
Citation Context ... calculating the momentum flowing down the string. This can be the starting point of a Langevin evolution system, as the process of energy loss has a stochastic character, as was first pointed out in =-=[41]-=- and more recently pursued in [42]-[48]. Such a system involves a classical force, that in this case is the drag force, and a stochastic noise that is taken to be Gaussian and which is characterized b... |

15 |
Theta dependence of SU(N) gauge theories in the presence of a topological term,” Phys
- Vicari, Panagopoulos
(Show Context)
Citation Context ...s asymptotically as r4 close to the UV boundary. In the CP-violating sector, the topological vacuum density TrFF̃ has zero expectation value in the deconfined phase, in agreement with lattice results =-=[21]-=- and large-Nc expectations. The analysis performed in [19] was completely general and did not rely on any specific form of the dilaton potential V (λ). A detailed analysis of an explicit model in [22]... |

15 |
Bulk viscosity and spectral functions
- Moore, Saremi
- 2008
(Show Context)
Citation Context ...on that one has to perform after computing the Euclidean correlator on the lattice. The results of references [29],[30] and the assumptions of the lattice calculation have been recently challenged in =-=[71]-=-. 6.1 The holographic computation The holographic approach offers a new way of computing the bulk viscosity. In the holographic set-up, ζ is obtained from (6.2). Using the standard AdS/CFT prescriptio... |

14 |
Holography and brane-bulk energy exchange
- Kiritsis
(Show Context)
Citation Context ...on cosmology, especially the one related to the Randall-Sundrum setup. Indeed in this case the expansion can be found by following the geodesic motion of probe branes in the relevant background, [23]-=-=[26]-=-. This generalizes to more complicated backgrounds, [26], like the ones studied here. Once we have a holographic model we trust, we should calculate observables , like transport coefficients that are ... |

14 |
Heavy Quark Diffusion with Relativistic
- Akamatsu, Hatsuda, et al.
(Show Context)
Citation Context ...ological coefficient used in such cases is known as the jet quenching coefficient q̂, and is defined as the rate of change of the average value of transverse momentum square of a probe. Current fits, =-=[34, 37]-=-, indicate that a value of order 10 GeV 2/fm or more is needed to describe the data while perturbative approaches are trustworthy at much lower values. – 5 – Several attempts were made to compute quar... |

14 | Extracting the QGP viscosity from RHIC data - A Status report from viscous hydrodynamics,” J.Phys.G G36 (2009) 064033, arXiv:0812.4274 [nucl-th
- Song, Heinz
(Show Context)
Citation Context ...and 5Tc. The values of this function are mildly dependent on temperature, and are between 1.5 and 2, the same range of values that were recently considered in the hydrodynamic codes by Heinz and Song =-=[80]-=-. 25This argument may break down for two (dependent) reasons: First of all the adiabatic approximation becomes lees good near ϕc. This is because, in this region V ′/V varies relatively more rapidly a... |

14 |
Some Thermodynamic Aspects of Pure Glue, Fuzzy Bags and Gauge/String Duality,” Phys
- Andreev
(Show Context)
Citation Context ...licit string theory construction. In this respect it is in the same class as the models based on pure AdS backgrounds (with hard or soft walls) [7, 8, 87, 88], or on IR deformations of the AdS metric =-=[89, 90]-=-. In comparison to them however, the IHQCD approach has the advantage – 54 – TQGP ,MeV q̂bottom (GeV 2/fm) q̂bottom (GeV 2/fm) q̂bottom (GeV 2/fm) (direct) (energy) (entropy) 220 - 1.0 1.1 250 0.6 1.4... |

13 |
Heavy-quark energy loss and thermalization in a strongly coupled
- Beuf, Marquet, et al.
(Show Context)
Citation Context ...tal string length using equation (7.20). Given a set of zero- and finite-temperature solutions, equation (7.35) can be evaluated 29For a possible field theoretical explanation of this phenomenon, see =-=[84]-=-. – 45 – numerically for different values of the velocity and different quark masses. The results for the Charm (Mq(0) = 1.5 GeV ) and Bottom (M = 4.5 GeV ) quarks are displayed in figure 23. Tc 1.25 ... |

12 | Sound mode hydrodynamics from bulk scalar fields,” Physical Review D,
- Springer
- 2009
(Show Context)
Citation Context ...utation of the shear viscosity [72], but it is technically more involved. A recent treatment of the fluctuation equation governing the scalar mode of a general Einstein-Dilaton system can be found in =-=[73]-=-. Here, we follow the method proposed by [74]. As explained in [74], one only needs to examine the equations of motion in the gauge r = Φ, where the radial coordinate is equal to the dilaton. In our t... |

12 |
Holography and the speed of sound at high temperatures,” arXiv:0905.0900 [hep-th
- Hohler, Stephanov
(Show Context)
Citation Context ..., lim T→∞ ζ/η 2 (1/3 − c2s) = 2pi 4−∆ 4− 2∆ cot ( pi∆ 4 ) (6.32) where ∆ is the scaling dimensions of the scalar operator in the UV, that is marginal in our case. It has also been suggested recently, =-=[82, 83]-=-, that the speed of sound squared, in Einstein dilaton gravity asymptotes to 1/3 at high temperatures from below. This is evident in our asymptotic formula (6.30), although the formulae in [82, 83] fa... |

11 |
Heavy quark potentials in some renormalization group revised AdS/QCD models,” Phys
- Zeng
(Show Context)
Citation Context ... potential was calculated in [14] and used to classify the dilaton potentials as a function of the confinement property. The full quark potential including the short distance behavior was computed in =-=[67]-=-. There a comparison to the Cornell potential was done as well as with quarkonium spectra finding excellent – 24 – agreement with data. The issue of quarkonium potentials from IHQCD-like theories was ... |

11 |
Notes on the bulk viscosity of holographic gauge theory plasmas,”
- Yarom
- 2010
(Show Context)
Citation Context ... large-Nc YM. Since in this class of models η/s = 1/4pi exactly we obtain lim T→∞ ζ/η 2 (1/3− c2s) = 1 (6.31) – 38 – in agreement with a recently derived general formula, in Einstein dilaton gravity, =-=[81]-=-, lim T→∞ ζ/η 2 (1/3 − c2s) = 2pi 4−∆ 4− 2∆ cot ( pi∆ 4 ) (6.32) where ∆ is the scaling dimensions of the scalar operator in the UV, that is marginal in our case. It has also been suggested recently, ... |

10 |
Thermalization of heavy quarks
- Hees, Rapp
(Show Context)
Citation Context ...down the string. This can be the starting point of a Langevin evolution system, as the process of energy loss has a stochastic character, as was first pointed out in [41] and more recently pursued in =-=[42]-=--[48]. Such a system involves a classical force, that in this case is the drag force, and a stochastic noise that is taken to be Gaussian and which is characterized by a diffusion coefficient. There a... |

10 |
The bulk viscosity of high-temperature QCD
- Arnold, Dogan, et al.
(Show Context)
Citation Context ...ult to match with the pQCD result, for the same reasons that the shear-viscosity-to-entropy ratio does not, [15]. We note however, that the asymptotic T-dependence is very similar to the pQCD result, =-=[75]-=-: ζ/s ∝ log−2(piT/Λ) log−1 log(piT/Λ) . (6.16) 6.2 Holographic explanation for the rise of ζ/s near Tc and the small black-hole branch With the same numerical methods, one can also compute the ratio ζ... |

9 |
Connecting Polyakov Loops to the Thermodynamics of SU(Nc) Gauge Theories Using the Gauge-String Duality,” Phys
- Noronha
- 2010
(Show Context)
Citation Context ... spectra finding excellent – 24 – agreement with data. The issue of quarkonium potentials from IHQCD-like theories was also recently discussed in [68]. Finally the Polyakov loop was recently computed =-=[69]-=- in similar Einstein dilaton models that were studied first in [16]. 5.5 CP-odd sector The CP-odd sector of pure Yang-Mills is described holographically by the addition of a bulk pseudoscalar field a(... |

9 |
Topological susceptibility
- Debbio, Giusti, et al.
(Show Context)
Citation Context ...ting this expression numerically with Z(λ) as in (5.11), and ca = 0.26 (to match the axial glueball spectrum ), we can determine the coefficient Z0 by looking at the lattice result for χ. For Nc = 3, =-=[70]-=- obtained χ = (191MeV ) 4, which requires Z0 = 133. In Table 4 we present a summary of the various physical quantities discussed in this section, as obtained in our holographic model, and their compar... |

8 |
A gauge/gravity duality model for gauge theory thermodynamics,” Phys
- Alanen, Kajantie, et al.
- 2009
(Show Context)
Citation Context ...ring length `s: if we hold the physical QCD string tension fixed, the ratio (`s/`) scales with degree −2/3 under a rescaling of κ. 12Further studies of IHQCD with different potentials can be found in =-=[55]-=-. – 13 – An important point to keep in mind, is that the simple linear relation (4.2) may be modified at strong coupling, but again this does not have any effect on physical observables. As long as we... |

8 |
Spatial string tension of finite temperature QCD matter in gauge/gravity Phys
- Alanen, Kajantie, et al.
(Show Context)
Citation Context ...erature calculation of the string tension in three-dimensional YM theory, [65]. The two calculation agree reasonably well. The spatial string tension at finite temperature can be calculated in IHQCD, =-=[66]-=- by calculating the relevant Wilson loop. Very good agreement was found with the lattice calculations, especially at temperatures not far from the phase transition. Finally, several calculations of qu... |

6 | The deconfinement transition in SU(N) gauge theories,” Phys. Lett. B 545 (2002) 197 [ArXiv:hep-lat/0206029 - Lucini, Teper, et al. - 2005 |

6 |
A bound on the speed of sound from holography,” Phys
- Cherman, Cohen, et al.
(Show Context)
Citation Context ..., lim T→∞ ζ/η 2 (1/3 − c2s) = 2pi 4−∆ 4− 2∆ cot ( pi∆ 4 ) (6.32) where ∆ is the scaling dimensions of the scalar operator in the UV, that is marginal in our case. It has also been suggested recently, =-=[82, 83]-=-, that the speed of sound squared, in Einstein dilaton gravity asymptotes to 1/3 at high temperatures from below. This is evident in our asymptotic formula (6.30), although the formulae in [82, 83] fa... |

5 |
Dissecting the string theory dual
- Kiritsis
(Show Context)
Citation Context ...hanges can appear between our λ and other definitions as for example in lattice calculations. 9As the dilaton is now not constant there is a non-trivial question: in which frame is the metric AdS. In =-=[15]-=- it was argued that this should be the case in the string frame. The difference of course between the string and Einstein frame is subleading in the UV as the coupling constant vanishes logarithmicall... |

5 | Robustness of Sound Speed and Jet Quenching for Gauge/Gravity Models of Hot QCD,” [ArXiv:0903.1458][hep-th - DeWolfe, Rosen |

5 | Spatial string tension revisited
- Schroder, Laine
- 2006
(Show Context)
Citation Context ...s been calculated on the lattice [64], as well as using the high-temperature (resumed) perturbative expansion plus a zero-temperature calculation of the string tension in three-dimensional YM theory, =-=[65]-=-. The two calculation agree reasonably well. The spatial string tension at finite temperature can be calculated in IHQCD, [66] by calculating the relevant Wilson loop. Very good agreement was found wi... |

3 |
talk at the “The Extra Strong Quark Gluon Plasma (ESQGP)”, Stony Brook
- Heinz
- 2008
(Show Context)
Citation Context ...viscosity. It floats somewhat above the Buchel bound, with a coefficient of proportionality varying between 1 and 2. Therefore it is expected to affect the elliptic flow at the small percentage level =-=[80, 33]-=-. Knowledge of the bulk viscosity is important in extracting the shear viscosity from the data. This result is not in agreement with the lattice result near Tc. In particular the lattice result gives ... |

3 | Predictions for the LHC heavy ion programme
- Borghini, Wiedemann
(Show Context)
Citation Context ...are important electron observables at RHIC, [34] that can probe heavy-quark energy loss in the strongly coupled quark-gluon plasma. Such observables are also expected to play an important role in LHC =-=[35]-=-. A perturbative QCD approach to calculate the energy loss of a heavy quark in the plasma has been pursued by calculating radiative energy loss, [36]. However its application to the RHIC plasma has re... |

3 |
ALPHA collaboration], “The Schroedinger functional coupling in quenched QCD at low energies,” Nucl. Phys
- Heitger, Simma, et al.
(Show Context)
Citation Context ...ing the correct definition of the energy. We can obtain some hints however by comparing with lattice results.10 In particular, based on lattice calculations using the Schröndiger functional approach =-=[54]-=-, it is argued that at long distance L the ’t Hooft coupling constant scales as λlat ∼ emL , m ' 3 4 m0++ . (3.7) This was based on a specific definition of the coupling constant, and length scale on ... |

3 |
Langevin diffusion of heavy quarks
- Gursoy, Kiritsis, et al.
(Show Context)
Citation Context ...iated Langevin dynamics and captures the asymmetry between longitudinal and transverse fluctuations. This can be computed along the lines set in [45, 47, 48] and the results were recently reported in =-=[91]-=-. – 57 – Acknowledgments We would like to thank the numerous colleagues that have shared their insights with us via discussions and correspondence since 2007 that this line of research has started: O.... |

1 |
On massless 4D Gravitons from 5D Asymptotically AdS
- Kiritsis, Nitti
(Show Context)
Citation Context ...ng various glueball mass ratios and comparing them to the corresponding lattice results. The masses are computed by deriving the effective action for the quadratic fluctuations around the background, =-=[60]-=- and subsequently reducing the dynamics to four dimensions. The associated thermodynamics for this potential was studied in [18] which was in qualitative agreement with lattice QCD results, but not in... |

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et al., “The Spatial String Tension and
- Cheng
(Show Context)
Citation Context ...bservable is the spatial string tension. It is calculated from the expectation value of the rectangular Wilson loop which stretches in spatial dimensions only. This has been calculated on the lattice =-=[64]-=-, as well as using the high-temperature (resumed) perturbative expansion plus a zero-temperature calculation of the string tension in three-dimensional YM theory, [65]. The two calculation agree reaso... |