Non-conformal hydrodynamics in Einstein-dilaton theory

Kulkarni, Shailesh; Lee, Bum-Hoon; Park, Chanyong; Roychowdhury, Raju

doi:10.1007/jhep09(2012)004

Cited by 14 publications

(17 citation statements)

References 82 publications

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“…(iii) For e 2AðzÞ ¼ e 2BðzÞ ≠ 1, it leads to a black hole on the hyperscaling violation geometry which has no scale symmetry. The dual field theory can be identified with a relativistic quantum field theory without a scale symmetry [61][62][63][64][65].…”

Section: Universal Thermal Entropy From the Ir Entanglement Entropymentioning

confidence: 99%

Renormalization group flow of entanglement entropy to thermal entropy

Kim

Park

2017

Phys. Rev. D

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Utilizing the holographic technique, we investigate how the entanglement entropy evolves along the renormalization group flow. After introducing a new generalized temperature which satisfies the thermodynamicslike law even in the IR regime, we find that the renormalized entropy and the generalized temperature in the IR limit approach the thermal entropy and thermodynamic temperature of a real thermal system. This result implies that the microscopic quantum entanglement entropy in the IR region leads to the thermodynamic relation up to small quantum corrections caused by the quantum entanglement near the entangling surface. Intriguingly, this IR feature of the entanglement entropy universally happens regardless of the detail of the dual field theory and the shape of the entangling surface. We check this IR universality with a most general geometry called the hyperscaling violation geometry which is dual to a relativistic nonconformal field theory.

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Section: Universal Thermal Entropy From the Ir Entanglement Entropymentioning

confidence: 99%

Renormalization group flow of entanglement entropy to thermal entropy

Kim

Park

2017

Phys. Rev. D

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“…In the following discussion, we will restrict ourselves in the regime as 0 ≤ η 2 < 4, since it was already found in [48] that if η 2 ≥ 4, then the black brane solution becomes unstable. To realize the…”

Section: Hawking-page Phase Transitionmentioning

confidence: 99%

“…In [48,53], DC conductivities of the non-conformal holographic fluids was investigated. In this section, we will study AC conductivity of the fluids by using its gravity dual, Einstein-dilaton system.…”

Section: Ac Conductivitymentioning

confidence: 99%

“…For the shear viscosity described by the bulk gravitational perturbation h xy , we find that there is no emendation from O(ω) and the result thus obtained is consistent with the membrane paradigm result [49], where x, y are boundary spatial coordinates. In addition to this, we have obtained the leading order corrections in small ω to the DC conductivity found in [48] governed by the transverse mode A y , where A y is y-component of the bulk U (1) fields.…”

Section: Introductionmentioning

confidence: 99%

“…Especially, in a recent paper [48], the authors have considered an interesting example of nonconformal fluid dynamics whose gravity dual is 4-dimensional Einstein-dilaton system with Liouville type potential V (φ) for the dilaton, parameterized by a constant η as V ∼ e ηφ , where φ is the dilaton field. It turns out that the dilaton solution has the form of a logarithmic function in r, where r is the radial coordinate of the bulk space time.…”

Section: Introductionmentioning

confidence: 99%

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Transport in non-conformal holographic fluids

Kulkarni

Lee

et al. 2013

J. High Energ. Phys.

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We have considered non-conformal fluid dynamics whose gravity dual is a certain Einstein dilaton system with Liouville type dilaton potential, characterized by an intrinsic parameter η. We have discussed the Hawking-Page transition in this framework using hard-wall model and it turns out that the critical temperature of the Hawking-Page transition encapsulates a non-trivial dependence on η.We also obtained transport coefficients such as AC conductivity, shear viscosity and diffusion constant in the hydrodynamic limit, which show non-trivial η dependent deviations from those in conformal fluids, although the ratio of the shear viscosity to entropy density is found to saturate the universal bound. Some of the retarded correlators are also computed in the high frequency limit for case study. *

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Inside and outside stories of black-branes in anti de Sitter space

Hansen¹,

Lee²,

Park³

et al. 2013

Class. Quantum Grav.

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In this paper, we investigate the dynamics inside and outside of black-branes in anti de Sitter space by numerical simulations using double-null formalism. We prepare a charged planar matter shell which, due to a negative cosmological constant, collapses and dynamically forms a black-brane with an apparent horizon, a singularity and a Cauchy horizon. The gravitational collapse cannot form a naked overcharged black-brane and hence weak cosmic censorship is safe. Although mass inflation occurs, the effect is much milder than in the case of charged black holes; hence, strong cosmic censorship seems not to be safe. We observed the scalar field dynamics outside the horizon. There should remain a non-trivial scalar field combination -'charge cloud' -between the horizon and the boundary. This can give some meaning in terms of the AdS/CFT correspondence.

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Non-conformal hydrodynamics in Einstein-dilaton theory

Cited by 14 publications

References 82 publications

Renormalization group flow of entanglement entropy to thermal entropy

Renormalization group flow of entanglement entropy to thermal entropy

Transport in non-conformal holographic fluids

Inside and outside stories of black-branes in anti de Sitter space

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