Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory

Kats, Yevgeny; Petrov, Pavel

doi:10.1088/1126-6708/2009/01/044

Cited by 354 publications

(489 citation statements)

References 48 publications

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“…Only with the higher derivative corrections [71][72][73] or in a anisotropic gravity background [74][75][76][77] one can get deviation from 1 4π . In order to introduce temperature dependence behavior of η/s, we will follow the formalism in [78][79][80] and continue our studies in [65].…”

Section: Jhep06(2015)046mentioning

confidence: 99%

Temperature dependent transport coefficients in a dynamical holographic QCD model

Huang

2015

J. High Energ. Phys.

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Abstract:We investigate temperature dependent behavior of various transport coefficients in a dynamical holographical QCD model. We show the nontrivial temperature dependent behavior of the transport coefficients, like bulk viscosity, electric conductivity as well as jet quenching parameter, and it is found that all these quantities reveal information of the phase transition. Furthermore, with introducing higher derivative corrections in 5D gravity, the shear viscosity over entropy density ratio also shows a valley around phase transition, and it is found that the shear viscosity over entropy density ratio times the jet quenching over temperature cubic ratio almost remains as a constant above phase transition, and the value is two times larger than the perturbative result in Phys.Rev. Lett.99.192301(2007).

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Section: Jhep06(2015)046mentioning

confidence: 99%

Temperature dependent transport coefficients in a dynamical holographic QCD model

Huang

2015

J. High Energ. Phys.

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“…The curvature squared corrections to pure Einstein-Hilbert action is given by [23] . Following [23], we consider perturbative corrections to the pure Einstein gravity black hole solutions due to the presence of curvature squared terms. Consider the Einstein-Hilbert action in general D dimensions.…”

Section: General Higher Derivative Corrections In D ≥mentioning

confidence: 99%

“…The on shell action with the relevant Gibbons-Hawking boundary terms as well as the counter terms is given by [23].…”

Section: Jhep12(2017)156mentioning

confidence: 99%

Shear sum rule in higher derivative gravity theories

Chowdhury

2017

J. High Energ. Phys.

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We study holographic shear sum rules in Einstein gravity with curvature squared corrections. Sum rules relate weighted integral over spectral densities of retarded correlators in the shear channel to the one point functions of the CFTs. The proportionality constant can be written in terms of the data of three point functions of the stress tensors of the CFT (t 2 and t 4 ). For CFTs dual to two derivative Einstein gravity, this proportionality constant is just d 2(d+1) . This has been verified by a direct holographic computation of the retarded correlator for Einstein gravity in AdS d+1 black hole background. We compute corrections to the holographic shear sum rule in presence of higher derivative corrections to the Einstein-Hilbert action. We find agreement between the sum rule obtained from a general CFT analysis and holographic computation for Gauss Bonnet theories in AdS 5 black hole background. We then generalize the sum rule for arbitrary curvature squared corrections to Einstein-Hilbert action in d ≥ 4. Evaluating the parameters t 2 and t 4 for the possible dual CFT in presence of such curvature corrections, we find an agreement with the general field theory derivation to leading order in coupling constants of the higher derivative terms.

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“…However, the generality of this bound was called into question in [69]. Recently it was shown [70] that for special large N gauge theories whose AdS duals contain D7-branes, the leading 1/N correction to (6.10) is negative; thus, the bound can be violated even for theories that have a holographic description.…”

Section: Shear Viscositymentioning

confidence: 99%