The long string at the stretched horizon and the entropy of large non-extremal black holes

Mertens, Thomas G.; Verschelde, Henri; Захаров, В. И.

doi:10.1007/jhep02(2016)041

Cited by 21 publications

(32 citation statements)

References 40 publications

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“…The above conclusion can be used to derive the Bekenstein-Hawking entropy from long strings [6]. Close to the horizon, a large non-extremal black hole is described by a Rindler metric with acceleration a = 1/4GM.…”

Section: The Thermal Scalar In Rindler Spacementioning

confidence: 82%

The long string at the stretched horizon and the entropy of large non-extremal black holes

Verschelde¹,

Mertens²,

Захаров³

2017

Proceedings of the European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2017)

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Highly excited or high-temperature string gases are dominated by long strings. The avatar of this process on the thermal manifold is the singly wound state (thermal scalar) that becomes massless at the critical Hagedorn temperature. This logic can be extended to curved spacetime, and in particular to Rindler space where one finds that the Hagedorn temperature equals the Hawking temperature of the black hole itself. This results in a long random walk surrounding the event horizon localized at string length distance. Long strings also make their appearance when throwing in strings into the black hole as shown by Susskind long ago. The string elongates as it approaches the horizon. We combine and compare these two pictures to discuss how the thermally equilibrated long string gas accounts for the black hole entropy, and provide a qualitative picture for Hawking radiation.

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Section: The Thermal Scalar In Rindler Spacementioning

confidence: 82%

The long string at the stretched horizon and the entropy of large non-extremal black holes

Verschelde¹,

Mertens²,

Захаров³

2017

Proceedings of the European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2017)

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“…One of the consequences is that we will correctly identify the states contributing to the Witten index later on, opposed to the discussion in [43]. 11 The prefactor of 1 2 is due to the GSO projection.…”

Section: Jhep08(2016)113mentioning

confidence: 97%

“…Hence the polar coordinate description is expected to contain some relevant information concerning string theory near black hole horizons; this is a story that we analyzed extensively in [5][6][7][8][9][10][11][12] where we studied the link between the near-horizon random walking long string and the singly wound string in polar coordinates, which turns out to be precisely massless in this case. We argued there that this singly wound state (the thermal scalar) is the most important contribution to thermodynamical quantities of the near-horizon string gas, in a very similar way as happens for near-Hagedorn thermodynamics in flat space.…”

Section: Jhep08(2016)113mentioning

confidence: 99%

String theory in polar coordinates and the vanishing of the one-loop Rindler entropy

Mertens

Verschelde

Захаров

2016

J. High Energ. Phys.

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Abstract:We analyze the string spectrum of flat space in polar coordinates, following the small curvature limit of the SL(2, R)/U(1) cigar CFT. We first analyze the partition function of the cigar itself, making some clarifications of the structure of the spectrum that have escaped attention up to this point. The superstring spectrum (type 0 and type II) is shown to exhibit an involution symmetry, that survives the small curvature limit. We classify all marginal states in polar coordinates for type II superstrings, with emphasis on their links and their superconformal structure. This classification is confirmed by an explicit large τ 2 analysis of the partition function. Next we compare three approaches towards the type II genus one entropy in Rindler space: using a sum-over-fields strategy, using a Melvin model approach as in [1] and finally using a saddle point method on the cigar partition function. In each case we highlight possible obstructions and motivate that the correct procedures yield a vanishing result: S = 0. We finally discuss how the QFT UV divergences of the fields in the spectrum disappear when computing the free energy and entropy using Euclidean techniques.

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“…This observation serves as a motivation [4] to introduce strings at this scale. It is within this framework that we make our remarks on the explicit evaluation of the Bekenstein-Hawking entropy, see [5] and references therein. Nowadays, the literature on the subject of strings and black holes is huge.…”

Section: From Hadrons To Black Holesmentioning

confidence: 99%

“…Also, knowledge of the wave function (19) allows us to evaluate [5,17] the profile of the energymomentum tensor associated with the long string of mass δM:…”

mentioning

confidence: 99%

Hagedorn temperature and physics of black holes

2016

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Abstract. A mini-review devoted to some implications of the Hagedorn temperature for black hole physics. The existence of a limiting temperature is a generic feature of string models. The Hagedorn temperature was introduced first in the context of hadronic physics. Nowadays, the emphasis is shifted to fundamental strings which might be a necessary ingredient to obtain a consistent theory of black holes. The point is that, in field theory, the local temperature close to the horizon could be arbitrarily high, and this observation is difficult to reconcile with the finiteness of the entropy of black holes. After preliminary remarks, we review our recent attempt to evaluate the entropy of large black holes in terms of fundamental strings. We also speculate on implications for dynamics of large-N c gauge theories arising within holographic models.

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The long string at the stretched horizon and the entropy of large non-extremal black holes

Cited by 21 publications

References 40 publications

The long string at the stretched horizon and the entropy of large non-extremal black holes

The long string at the stretched horizon and the entropy of large non-extremal black holes

String theory in polar coordinates and the vanishing of the one-loop Rindler entropy

Hagedorn temperature and physics of black holes

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