Transport coefficients from extremal Gauss-Bonnet black holes

Cai, Rong-Gen; Liu, Yan; Sun, Ya-Wen

doi:10.1007/jhep04(2010)090

Cited by 21 publications

(15 citation statements)

References 106 publications

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“…The organization of of the present paper is the following: In Section 2, we compute two point quantum correlation function corresponding to z = ∞ fixed point both in the Gauss Bonnet (GB) [28] as well as in the third order Lovelock gravity [30]. It is noteworthy to mention that in the limit of the vanishing coupling, our result smoothly matches to that with the earlier findings in [24].…”

Section: Overview and Motivationsupporting

confidence: 78%

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Quantum fluctuations and thermal dissipation in higher derivative gravity

Roychowdhury

2015

Nuclear Physics B

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In this paper, based on the AdS 2 /CF T 1 prescription, we explore the low frequency behavior of quantum two point functions for a special class of strongly coupled CFTs in one dimension whose dual gravitational counterpart consists of extremal black hole solutions in higher derivative theories of gravity defined over an asymptotically AdS space time. The quantum critical points thus described are supposed to correspond to a very large value of the dynamic exponent (z → ∞). In our analysis, we find that quantum fluctuations are enhanced due to the higher derivative corrections in the bulk which in turn increases the possibility of quantum phase transition near the critical point. On the field theory side, such higher derivative effects would stand for the corrections appearing due to the finite coupling in the gauge theory. Finally, we compute the coefficient of thermal diffusion at finite coupling corresponding to Gauss Bonnet corrected charged Lifshitz black holes in the bulk. We observe an important crossover corresponding to z = 5 fixed point. *

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Section: Overview and Motivationsupporting

confidence: 78%

“…Keeping all these facts in mind, in our analysis we start with a minimal introduction to the dual gravity set up in the bulk which is essentially described in terms of extremal Gauss-Bonnet(GB) RN black holes in (4 + 1) dimensions. The corresponding action turns out to be [28],…”

Section: Gauss-bonnet Gravitymentioning

confidence: 99%

Quantum fluctuations and thermal dissipation in higher derivative gravity

Roychowdhury

2015

Nuclear Physics B

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“…10 See [5,[130][131][132][133][134][135][136][137] for related work. 11 We would like to thank U. Gürsoy for discussion on this point.…”

Section: First-order Hydrodynamicsmentioning

confidence: 99%

Higher-derivative scalar-vector-tensor theories: black holes, Galileons, singularity cloaking and holography

Charmousis

Goutéraux

Kiritsis

2012

J. High Energ. Phys.

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We consider a general Kaluza-Klein reduction of a truncated Lovelock theory. We find necessary geometric conditions for the reduction to be consistent. The resulting lower-dimensional theory is a higher derivative scalar-tensor theory, depends on a single real parameter and yields second-order field equations. Due to the presence of higherderivative terms, the theory has multiple applications in modifications of Einstein gravity (Galileon/Horndesky theory) and holography (Einstein-Maxwell-Dilaton theories). We find and analyze charged black hole solutions with planar or curved horizons, both in the 'Einstein' and 'Galileon' frame, with or without cosmological constant. Naked singularities are dressed by a geometric event horizon originating from the higher-derivative terms. The near-horizon region of the near-extremal black hole is unaffected by the presence of the higher derivatives, whether scale invariant or hyperscaling violating. In the latter case, the area law for the entanglement entropy is violated logarithmically, as expected in the presence of a Fermi surface. For negative cosmological constant and planar horizons, thermodynamics and first-order hydrodynamics are derived: the shear viscosity to entropy density ratio does not depend on temperature, as expected from the higher-dimensional scale invariance.

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“…We use the membrane paradigm approach [24] and its higher derivative generalization [25,26] (see, also, [27]) to compute the shear viscosity (related work for finite chemical potential can be found in [28][29][30][31][32][33][34][35][36][37]). In particular, we study the effect of the moduli (in the presence of a generic set of four-derivative interactions) on the viscosity bound.…”

Section: Jhep02(2011)021mentioning

confidence: 99%

Moduli and electromagnetic black brane holography

Astefanesei

Banerjee

Dutta

2011

J. High Energ. Phys.

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Abstract:We investigate the thermodynamic and hydrodynamic properties of 4-dimensional gauge theories with finite electric charge density in the presence of a constant magnetic field. Their gravity duals are planar magnetically and electrically charged AdS black holes in theories that contain a gauge Chern-Simons term. We present a careful analysis of the near horizon geometry of these black branes at finite and zero temperature for the case of a scalar field non-minimally coupled to the electromagnetic field. With the knowledge of the near horizon data, we obtain analytic expressions for the shear viscosity coefficient and entropy density, and also study the effect of a generic set of four derivative interactions on their ratio. We also comment on the attractor flows of the extremal solutions.

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Transport coefficients from extremal Gauss-Bonnet black holes

Cited by 21 publications

References 106 publications

Quantum fluctuations and thermal dissipation in higher derivative gravity

Quantum fluctuations and thermal dissipation in higher derivative gravity

Higher-derivative scalar-vector-tensor theories: black holes, Galileons, singularity cloaking and holography

Moduli and electromagnetic black brane holography

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