Thermodynamics, transport and relaxation in non-conformal theories

Attems, Maximilian; Casalderrey-Solana, Jorge; Matéos, David; Papadimitriou, Ioannis; Santos-Oliván, Daniel; Sopuerta, Carlos F.; Triana, Miquel; Zilhão, Miguel

doi:10.1007/jhep10(2016)155

Cited by 80 publications

(119 citation statements)

References 52 publications

Supporting

Mentioning

113

Contrasting

Order By: Relevance

“…The first family V (1) of potentials that we are going to investigate has recently been introduced in ref. [89]. It derives from a family of quartic superpotentials W…”

Section: Two Simple Families Of Holographic Rg Flowsmentioning

confidence: 99%

Second-order hydrodynamics and universality in non-conformal holographic fluids

Kleinert

Probst

2016

J. High Energ. Phys.

View full text Add to dashboard Cite

We study second-order hydrodynamic transport in strongly coupled non-conformal field theories with holographic gravity duals in asymptotically anti-de Sitter space. We first derive new Kubo formulae for five second-order transport coefficients in nonconformal fluids in (3 + 1) dimensions. We then apply them to holographic RG flows induced by scalar operators of dimension ∆ = 3. For general background solutions of the dual bulk geometry, we find explicit expressions for the five transport coefficients at infinite coupling and show that a specific combination,H = 2ητ π − 2 (κ − κ * ) − λ 2 , always vanishes. We prove analytically that the Haack-Yarom identity H = 2ητ π − 4λ 1 − λ 2 = 0, which is known to be true for conformal holographic fluids at infinite coupling, also holds when taking into account leading non-conformal corrections. The numerical results we obtain for two specific families of RG flows suggest that H vanishes regardless of conformal symmetry. Our work provides further evidence that the Haack-Yarom identity H = 0 may be universally satisfied by strongly coupled fluids.

show abstract

“…The first family V (1) of potentials that we are going to investigate has recently been introduced in ref. [89]. It derives from a family of quartic superpotentials W…”

Section: Two Simple Families Of Holographic Rg Flowsmentioning

confidence: 99%

Second-order hydrodynamics and universality in non-conformal holographic fluids

Kleinert

Probst

2016

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…We then calculate the retarded Green's function in holography by solving the string fluctuation equations for δX µ (r) on the world-sheet geometry, that is itself a black-brane with a horizon at r = r s , imposing non-normalizable boundary conditions at the boundary and infalling boundary consitions at the horizon r = r s , substitute in (130) and read off the diffusion constant from the Kubo formula (131). The result of this calculation [66] is…”

Section: Diffusion Constantmentioning

confidence: 99%

“…This work and most of the subsequent developments focused on thermalization and out-of equilibrium physics in conformal rather than non-conformal plasmas. The latter only started attracting attention recently with the works [124,125,126,127,128,129,130,131,132]. We have not reviewed these developments in this review due to lack of space.…”

Section: Conclusion and A Look Aheadmentioning

confidence: 99%

Improved Holographic QCD and the Quark--Gluon Plasma

Gürsoy¹

2016

Acta Phys. Pol. B

View full text Add to dashboard Cite

We review construction of the improved holographic models for QCDlike confining gauge theories and their applications to the physics of the Quark-gluon plasma. We also review recent progress in this area of research. The lecture notes start from the vacuum structure of these theories, then develop calculation of thermodynamic and hydrodynamic observables and end with more advanced topics such as the holographic QCD in the presence of external magnetic fields. This is a summary of the lectures presented at

show abstract

“…In the latter, the equations of motion of a five-dimensional supergravity action coupled to a matter content of fields will be solved. One may break the conformal invariance even at zero temperature by coupling a scalar field at pure gravity in AdS [48] which is dual to a CFT deformed by a source Λ for a dimension-three operator. This source breaks the scale invariance explicitly and triggers a non-trivial Renormalization Group (RG) flow from ultraviolet (UV) fixed point to an infrared (IR) fixed point.…”

mentioning

confidence: 99%

“…[49]. However, the authors in [48] chose their potential by simplicity. The UV fixed point is needed to guarantee that we are in the regime that the holographic duality is best understood and the bulk metric is asymptotically AdS.…”

mentioning

confidence: 99%

Jet suppression in non-conformal plasma using AdS/CFT

Heshmatian

Morad

2019

J. High Energ. Phys.

View full text Add to dashboard Cite

Recent experiments performed at the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC) has provided spectacular evidence that suggests that a deconfined state of hadronic matter has been formed which is called quark-gluon plasma (QGP) [1][2][3][4]. The experimental discovery, e.g, a very small ratio of shear viscosity to entropy density [5,6], quenching of high energy partons with large transverse momentum, and elliptic flow etc., indicates that QGP is a strongly coupled plasma whose dynamics after collision is dominated by non-perturbative effects [7,8]. The perturbative QCD works only in the weak coupling regime, while lattice QCD is the proper tool for understanding the static equilibrium thermodynamics of such strongly coupled plasma, it does not allow us to compute some dynamical quantities like transport coefficients, drag force, and jet quenching parameter etc., in the strong coupling regime.Recently, a novel tool called the "AdS/CFT correspondence" [9-13] provide a powerful tool to study the strongly coupled plasma. The most studied example in the context of AdS/CFT correspondence [7,14,15] is the duality between the N = 4 SU (N c ) super-Yang-Mills theory and type IIB string theory on AdS 5 × S 5 , which allows one to study this strongly coupled gauge theory in the large N c limit and large t Hooft coupling λ = g 2 Y M N c .The ratio of shear viscosity over entropy density obtained from this duality is small η/s = 1/4π [5,16,17] which is consistent with the experimental data [18]. Also, the strong collective behavior observed in very small systems, such as Au-Au collisions at RHIC [19][20][21], Pb-Pb [22][23][24][25], p-Pb [26-28] and p-p [29] collisions at the LHC are well described by hydrodynamics from the time and distance scales as a fraction of the (local) inverse temperature [30][31][32][33][34][35] which is consistent with holographic results [36,37].Despite the fact that the initial temperatures in the most central, high-energy collisions at in the range of quasi-conformal regime the non-conformal effects become important in the subsequent evolution and cooling of the QGP after production. Also, the initial temperature is smaller in the off-central or lower-energy collisions both at the LHC and RHIC. Lattice data indicate that in the temperature range available at high-energy heavy ion collisions (temperatures a few times larger than the critical temperature), the QGP

show abstract

Thermodynamics, transport and relaxation in non-conformal theories

Cited by 80 publications

References 52 publications

Second-order hydrodynamics and universality in non-conformal holographic fluids

Second-order hydrodynamics and universality in non-conformal holographic fluids

Improved Holographic QCD and the Quark--Gluon Plasma

Jet suppression in non-conformal plasma using AdS/CFT

Contact Info

Product

Resources

About