Viscosity bound violation in higher derivative gravity

Brigante, Mauro; Hong, Liu; Myers, Robert C.; Shenker, Stephen H.; Yaida, Sho

doi:10.1103/physrevd.77.126006

Cited by 533 publications

(808 citation statements)

References 57 publications

(109 reference statements)

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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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“…Instead , one would simply choose a gravitational theory with some α -corrections one can handle and study the 1/λ -corrections of the theory [32]. In this case, the dual gauge theory is not clear though.…”

Section: Corrections To the Large-n C Limitmentioning

confidence: 99%

AdS/CFT Duality User Guide

Natsuume

2015

Lecture Notes in Physics

182

215

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This is the draft/updated version of a textbook on "real-world" applications of the AdS/CFT duality for beginning graduate students in particle physics and for researchers in the other fields. The aim of this book is to provide background materials such as string theory, general relativity, nuclear physics, nonequilibrium physics, and condensed-matter physics as well as some key applications of the AdS/CFT duality in a single textbook. Contents: (1) Introduction, (2) General relativity and black holes, (3) Black holes and thermodynamics, (4) Strong interaction and gauge theories, (5) The road to AdS/CFT, (6) The AdS spacetime, (7) AdS/CFT - equilibrium, (8) AdS/CFT - adding probes, (9) Basics of nonequilibrium physics, (10) AdS/CFT - nonequilibrium, (11) Other AdS spacetimes, (12) Applications to quark-gluon plasma, (13) Basics of phase transition, (14) AdS/CFT - phase transition, (15) Exercises.Comment: 309 pages. Comments welcome. Published edition is available from Springer (Lecture Notes in Physics 903). Translated from a Japanese book originally published in 2012; v2: various improvements; v3: minor corrections, v4: added materials & minor improvements after publication (see "Preface for the arXiv edition" for details). http://link.springer.com/book/10.1007/978-4-431-55441-

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“…KSS bound [3] (see [4] and [5]). Lovelock theories provide one with a setup where certain control at a computational level can be attained.…”

Section: Jhep04(2017)066mentioning

confidence: 99%

Quintic quasi-topological gravity

Cisterna

Guajardo

Hassaı̈ne

et al. 2017

J. High Energ. Phys.

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We construct a quintic quasi-topological gravity in five dimensions, i.e. a theory with a Lagrangian containing R 5 terms and whose field equations are of second order on spherically (hyperbolic or planar) symmetric spacetimes. These theories have recently received attention since when formulated on asymptotically AdS spacetimes might provide for gravity duals of a broad class of CFTs. For simplicity we focus on five dimensions. We show that this theory fulfils a Birkhoff's Theorem as it is the case in Lovelock gravity and therefore, for generic values of the couplings, there is no s-wave propagating mode. We prove that the spherically symmetric solution is determined by a quintic algebraic polynomial equation which resembles Wheeler's polynomial of Lovelock gravity. For the black hole solutions we compute the temperature, mass and entropy and show that the first law of black holes thermodynamics is fulfilled. Besides of being of fourth order in general, we show that the field equations, when linearized around AdS are of second order, and therefore the theory does not propagate ghosts around this background. Besides the class of theories originally introduced in arXiv:1003.4773, the general geometric structure of these Lagrangians remains an open problem.

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Viscosity bound violation in higher derivative gravity

Cited by 533 publications

References 57 publications

Temperature dependent transport coefficients in a dynamical holographic QCD model

Temperature dependent transport coefficients in a dynamical holographic QCD model

AdS/CFT Duality User Guide

Quintic quasi-topological gravity

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