Pedraza, Juan F;
Svesko, Andrew;
Sybesma, Watse;
Visser, Manus R;
(2021)
Semi-classical thermodynamics of quantum extremal surfaces in Jackiw-Teitelboim gravity.
https://link.springer.com/journal/13130
, 2021
(12)
, Article 134. 10.1007/JHEP12(2021)134.
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Svesko_Semi-classical thermodynamics of quantum extremal surfaces in Jackiw-Teitelboim gravity_VoR.pdf - Published Version Download (1MB) | Preview |
Abstract
Quantum extremal surfaces (QES), codimension-2 spacelike regions which extremize the generalized entropy of a gravity-matter system, play a key role in the study of the black hole information problem. The thermodynamics of QESs, however, has been largely unexplored, as a proper interpretation requires a detailed understanding of backreaction due to quantum fields. We investigate this problem in semi-classical Jackiw-Teitelboim (JT) gravity, where the spacetime is the eternal two-dimensional Anti-de Sitter (AdS2) black hole, Hawking radiation is described by a conformal field theory with central charge c, and backreaction effects may be analyzed exactly. We show the Wald entropy of the semi-classical JT theory entirely encapsulates the generalized entropy — including time-dependent von Neumann entropy contributions — whose extremization leads to a QES lying just outside of the black hole horizon. Consequently, the QES defines a Rindler wedge nested inside the enveloping black hole. We use covariant phase space techniques on a time-reflection symmetric slice to derive a Smarr relation and first law of nested Rindler wedge thermodynamics, regularized using local counterterms, and intrinsically including semi-classical effects. Moreover, in the microcanonical ensemble the semi-classical first law implies the generalized entropy of the QES is stationary at fixed energy. Thus, the thermodynamics of the nested Rindler wedge is equivalent to the thermodynamics of the QES in the microcanonical ensemble.
| Type: | Article |
|---|---|
| Title: | Semi-classical thermodynamics of quantum extremal surfaces in Jackiw-Teitelboim gravity |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/JHEP12(2021)134 |
| Publisher version: | https://doi.org/10.1007/JHEP12(2021)134 |
| Language: | English |
| Additional information: | This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third-party material in this article are included in the Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
| Keywords: | Science & Technology, Physical Sciences, Physics, Particles & Fields, Physics, 2D Gravity, Black Holes, AdS-CFT Correspondence, BLACK-HOLE ENTROPY, NOETHER CHARGE, SCHWARZSCHILD, QUANTIZATION, EVOLUTION |
| UCL classification: | UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10143195 |
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