Quasiparticle picture of black holes and the entropy-area relation

Iizuka, Norihiro; Kabat, Daniel; Lifschytz, Gilad; Lowe, David A.

doi:10.1103/physrevd.67.124001

Cited by 15 publications

(30 citation statements)

References 52 publications

(81 reference statements)

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“…For example, Refs. [53,54] explained some thermodynamical properties of black holes by postulating the existence of quasi-particles living on a stretched horizon a distance l p(d) away from the horizon, instead of l s . In this case with a stretched horizon located l p(d) away from the horizon, we obtain a simpler result σ ∼ 1 instead of (6.19).…”

Section: Discussionmentioning

confidence: 99%

Brownian motion in AdS/CFT

Boer¹,

Hubeny²,

Rangamani³

et al. 2009

J. High Energy Phys.

118

337

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We study Brownian motion and the associated Langevin equation in AdS/CFT. The Brownian particle is realized in the bulk spacetime as a probe fundamental string in an asymptotically AdS black hole background, stretching between the AdS boundary and the horizon. The modes on the string are excited by the thermal black hole environment and consequently the string endpoint at the boundary undergoes an erratic motion, which is identified with an external quark in the boundary CFT exhibiting Brownian motion. Semiclassically, the modes on the string are thermally excited due to Hawking radiation, which translates into the random force appearing in the boundary Langevin equation, while the friction in the Langevin equation corresponds to the excitation on the string being absorbed by the black hole. We give a bulk proof of the fluctuationdissipation theorem relating the random force and friction. This work can be regarded as a step toward understanding the quantum microphysics underlying the fluid-gravity correspondence. We also initiate a study of the properties of the effective membrane or stretched horizon picture of black holes using our bulk description of Brownian motion.

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Section: Discussionmentioning

confidence: 99%

Brownian motion in AdS/CFT

Boer¹,

Hubeny²,

Rangamani³

et al. 2009

J. High Energy Phys.

118

337

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“…The IP model [1] (see also [33][34][35]) is a quantum mechanical system, with a harmonic oscillator in the adjoint of U(N ) and a harmonic oscillator in the fundamental of U(N ), coupled through a trilinear interaction. The Hamiltonian for the IP model is given by (2.3).…”

Section: Ip Modelmentioning

confidence: 99%

Four-point function in the IOP matrix model

Michel

Polchinski

Rosenhaus

et al. 2016

J. High Energ. Phys.

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The IOP model is a quantum mechanical system of a large-N matrix oscillator and a fundamental oscillator, coupled through a quartic interaction. It was introduced previously as a toy model of the gauge dual of an AdS black hole, and captures a key property that at infinite N the two-point function decays to zero on long time scales. Motivated by recent work on quantum chaos, we sum all planar Feynman diagrams contributing to the four-point function. We find that the IOP model does not satisfy the more refined criteria of exponential growth of the out-of-time-order four-point function.

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“…7 We adopt units in which 8Gϭ1. 8 In equilibrium these outgoing fluxes are of course balanced by equal and opposite infalling fluxes.…”

Section: A Gravitational Descriptionmentioning

confidence: 99%

Stretched horizons, quasiparticles, and quasinormal modes

et al. 2003

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We propose that stretched horizons can be described in terms of a gas of noninteracting quasiparticles. The quasiparticles are unstable, with a lifetime set by the imaginary part of the lowest quasinormal mode frequency. If the horizon arises from an AdS-CFT style duality the quasiparticles are also the effective low-energy degrees of freedom of the finite-temperature CFT. We analyze a large class of models including Schwarzschild black holes, nonextremal Dp-branes, the rotating BTZ black hole and de Sitter space, and we comment on degenerate horizons. The quasiparticle description makes manifest the relationship between entropy and area.

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Quasiparticle picture of black holes and the entropy-area relation

Cited by 15 publications

References 52 publications

Brownian motion in AdS/CFT

Brownian motion in AdS/CFT

Four-point function in the IOP matrix model

Stretched horizons, quasiparticles, and quasinormal modes

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