Shear viscosity of a highly excited string and the black hole membrane paradigm

Sasai, Yuya

doi:10.1103/physrevd.83.026002

Cited by 5 publications

(17 citation statements)

References 41 publications

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“…The analytic continuation discussed in [20] concerning N gets translated to an analytic continuation in β. The arguments in favor of 17 To be precise, the m = 0 sector has a different prefactor since we dropped the m = n = 0 sector. We do not care about this, since we will drop the m = 0 sector anyway in what follows.…”

Section: Jhep03(2014)086mentioning

confidence: 99%

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Random walks in Rindler spacetime and string theory at the tip of the cigar

Mertens

Verschelde

Захаров

2014

J. High Energ. Phys.

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In this paper, we discuss Rindler space string thermodynamics from a thermal scalar point of view as an explicit example of the results obtained in [1]. We discuss the critical behavior of the string gas and interpret this as a random walk near the black hole horizon. Combining field theory arguments with the random walk path integral picture, we realize (at genus one) the picture put forward by Susskind of a long string surrounding black hole horizons. We find that thermodynamics is dominated by a long string living at stringscale distance from the horizon whose redshifted temperature is the Rindler or Hawking temperature. We provide further evidence of the recent proposal for string theory at the tip of the cigar by comparing with the flat space orbifold approach to Rindler thermodynamics. We discuss all types of closed strings (bosonic, type II and heterotic strings).

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Section: Jhep03(2014)086mentioning

confidence: 99%

“…2 This picture and the related correspondence principle have been studied extensively in the past by numerous authors (see e.g. [9][10][11][12][13][14][15][16][17]). The stretched horizon is located at a string length outside the black hole horizon.…”

Section: Introductionmentioning

confidence: 99%

Random walks in Rindler spacetime and string theory at the tip of the cigar

Mertens

Verschelde

Захаров

2014

J. High Energ. Phys.

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“…Recently, it has been found that transport coefficients in the membrane paradigm agree with those of a highly excited fundamental string at the correspondence point, up to numerical coefficients [9,10]. This can be regarded as a support for string theory as a microscopic description of the stretched horizon, in spite of a few limitations.…”

Section: Introductionmentioning

confidence: 71%

“…The tensor mode of the metric perturbationb(ω) is coupled to the tensor mode of the stress tensor T (ω) in Matrix theory. 9 According to section 3.3 and (165), the linear response of the stress tensor is…”

Section: Tensor Modementioning

confidence: 99%

“…In this situation, one can no longer neglect the excitations of D-branes because the masses of the D-branes are proportional to the inverse of the string coupling [12]. 1 In addition, the authors of [9,10] have considered only homogeneous perturbations to obtain the transport coefficients of the fundamental string. To study dynamical processes such as diffusion, one has to apply inhomogeneous perturbations to the system.…”

Section: Introductionmentioning

confidence: 99%

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Linear responses of D0-branes via gauge/gravity correspondence

2013

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We study linear responses of D0-branes in the low frequency region by using gauge/gravity correspondence. The dynamics of the D0-branes is described by Matrix theory with finite temperature, which is dual to a near extremal D0-brane black hole solution. We analyze the tensor mode and vector modes of a stress tensor and a Ramond-Ramond 1-form current of Matrix theory. Then, we show that if a cutoff surface is close to a horizon of the D0-brane black hole, the linear responses take forms similar to the hydrodynamic stress tensor and current on S^8. By taking a Rindler limit, those linear responses come to obey the hydrodynamics exactly, which is consistent with previous works on a Rindler fluid. We also show that if the cutoff surface is far from the horizon, the linear responses do not take the forms of the hydrodynamic stress tensor and current on S^8. Especially, we find that the vector modes no longer possess a diffusion pole in the low frequency region, which indicates that the linear responses of the D0-branes cannot be explained by hydrodynamics.Comment: 40 pages, 1 figure; v2: references added and minor corrections; v3: minor correction

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Closed string transport coefficients and the membrane paradigm

Sasai

2011

Phys. Rev. D

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I discuss a correspondence between a fictitious fluid in the black hole membrane paradigm and highly excited closed string states according to the black hole correspondence principle. I calculate the membrane transport coefficients of an electric NS-NS 2-charged black hole and transport coefficients of the highly excited closed string states which possess a Kaluza-Klein number and a winding number. Comparing both the transport coefficients at the correspondence point, I show that, except for the bulk viscosity, the membrane transport coefficients are of the same order as the transport coefficients of the closed string states on the stretched horizon. Also, I show that, except for the bulk viscosity, both the dimensionless transport coefficients, which are defined by dividing the transport coefficients by the entropy density, are exactly equal if the central charge is 6.Comment: 26 pages, no figure. minor corrections, an appendix added, version to appear in PR

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Shear viscosity of a highly excited string and the black hole membrane paradigm

Cited by 5 publications

References 41 publications

Random walks in Rindler spacetime and string theory at the tip of the cigar

Random walks in Rindler spacetime and string theory at the tip of the cigar

Linear responses of D0-branes via gauge/gravity correspondence

Closed string transport coefficients and the membrane paradigm

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