Conductivity in an anisotropic background

Lee, Bum-Hoon; Pang, Da-Wei; Nam, Siyoung; Park, Chanyong

doi:10.1103/physrevd.83.066005

Cited by 24 publications

(23 citation statements)

References 54 publications

(63 reference statements)

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“…In this limit, the study of the transverse gauge fluctuation with nonzero frequency provides information about the AC conductivity, which reduces to the DC conductivity in the zero frequency limit [59]. In addition, we can find the shear viscosity from the bulk gravitational perturbation h xy .…”

Section: The Shear Viscosity and Ac Conductivity In The Zero Momentummentioning

confidence: 98%

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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Section: The Shear Viscosity and Ac Conductivity In The Zero Momentummentioning

confidence: 98%

Transport in non-conformal holographic fluids

Kulkarni

Lee

et al. 2013

J. High Energ. Phys.

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“…Recently, those works have been further generalized to the hyperscaling violation and Lifshitz geometries in which the asymptotic geometry is deviated from the AdS space and the boundary conformal symmetry is broken explicitly or spontaneously. [22][23][24][25][26][27][28][29][30][31][32][33] In these cases, the broken conformal symmetry can be realized by a nontrivial dilaton profile. It would be interesting to understand the nontrivial RG flow of the dual field theory from the corresponding classical gravity theory.…”

Section: Introductionmentioning

confidence: 99%

“…In this case, a nontrivial dilaton profile breaks the scaling symmetry without breaking the boundary Lorentz symmetry, so the dual theory represents a relativistic nonconformal field theory. [29][30][31][32][33] The other interesting example is the Lifshitz geometry which was invented to understand nonrelativistic features by using the holographic techniques.…”

Section: Introductionmentioning

confidence: 99%

Review of the holographic Lifshitz theory

Park

2014

Int. J. Mod. Phys. A

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We review interesting results achieved in recent studies on the holographic Lifshitz field theory. The holographic Lifshitz field theory at finite temperature is described by a Lifshitz black brane geometry. The holographic renormalization together with the regularity of the background metric allows to reproduce thermodynamic quantities of the dual Lifshitz field theory where the Bekenstein-Hawking entropy appears as the renormalized thermal entropy. All results satisfy the desired black brane thermodynamics. In addition, hydrodynamic properties are further reviewed in which the holographic retarded Green functions of the current and momentum operators are studied. In a nonrelativistic Lifshitz field theory, intriguingly, there exists a massive quasinormal mode at finite temperature whose effective mass is linearly proportional to temperature. Even at zero temperature and in the nonzero momentum limit, a quasinormal mode still remains unlike the dual relativistic field theory. Finally, we account for how adding impurity modifies the electric property of the nonrelativistic Lifshitz theory.

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“…In the gauge/gravity duality, the nontrivial dilaton profile can be identified with the running coupling constant of the dual gauge theory. It was also shown that the nontrivial dilaton coupling of the gauge fluctuation plays an important role to determine the properties of the dual gauge theory leading to the strange metallic behavior [20,21,23,30,54,55,56]. Therefore it is, indeed interesting to study hydrodynamic properties of the vector fluctuations with or without a nontrivial dialton profile.…”

Section: Properties Of the Non-conformal Dual Gauge Theorymentioning

confidence: 99%

“…which were also used for finding the generically hyperscaling violating solutions [20,21,23,24,26,27,28,29]. By rescaling the x and y coordinates, we can choose b 0 = 1 without any loss of generality.…”

Section: Einstein-dilaton Theorymentioning

confidence: 99%

Non-conformal hydrodynamics in Einstein-dilaton theory

Kulkarni¹,

Lee²,

Park³

et al. 2012

J. High Energ. Phys.

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In the Einestein-dilaton theory with a Liouville potential parameterized by η, we find a Schwarzschildtype black hole solution. This black hole solution, whose asymptotic geometry is described by the warped metric, is thermodynamically stable only for 0 ≤ η < 2. Applying the gauge/gravity duality, we find that the dual gauge theory represents a non-conformal thermal system with the equation of state depending on η. After turning on the bulk vector fluctuations with and without a dilaton coupling, we calculate the charge diffusion constant, which indicates that the life time of the quasi normal mode decreases with η.Interestingly, the vector fluctuation with the dilaton coupling shows that the DC conductivity increases with temperature, a feature commonly found in electrolytes. *

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Conductivity in an anisotropic background

Cited by 24 publications

References 54 publications

Transport in non-conformal holographic fluids

Transport in non-conformal holographic fluids

Review of the holographic Lifshitz theory

Non-conformal hydrodynamics in Einstein-dilaton theory

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