Replica wormholes and the entropy of Hawking radiation
Abstract
The information paradox can be realized in anti-de Sitter spacetime joined to a Minkowski region. In this setting, we show that the large discrepancy between the von Neumann entropy as calculated by Hawking and the requirements of unitarity is fixed by including new saddles in the gravitational path integral. These saddles arise in the replica method as complexified wormholes connecting different copies of the black hole. As the replica number n → 1, the presence of these wormholes leads to the island rule for the computation of the fine-grained gravitational entropy. We discuss these replica wormholes explicitly in two-dimensional Jackiw-Teitelboim gravity coupled to matter.
- Authors:
-
[2];
- Inst. for Advanced Study, Princeton, NJ (United States)
- Cornell Univ., Ithaca, NY (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Institute for Advanced Study, Princeton, NJ (United States); Cornell Univ., Ithaca, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1801998
- Grant/Contract Number:
- SC0009988; SC0020397
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 5; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics
Citation Formats
Almheiri, Ahmed, Hartman, Thomas, Maldacena, Juan, Shaghoulian, Edgar, and Tajdini, Amirhossein. Replica wormholes and the entropy of Hawking radiation. United States: N. p., 2020.
Web. doi:10.1007/jhep05(2020)013.
Almheiri, Ahmed, Hartman, Thomas, Maldacena, Juan, Shaghoulian, Edgar, & Tajdini, Amirhossein. Replica wormholes and the entropy of Hawking radiation. United States. https://doi.org/10.1007/jhep05(2020)013
Almheiri, Ahmed, Hartman, Thomas, Maldacena, Juan, Shaghoulian, Edgar, and Tajdini, Amirhossein. Fri .
"Replica wormholes and the entropy of Hawking radiation". United States. https://doi.org/10.1007/jhep05(2020)013. https://www.osti.gov/servlets/purl/1801998.
@article{osti_1801998,
title = {Replica wormholes and the entropy of Hawking radiation},
author = {Almheiri, Ahmed and Hartman, Thomas and Maldacena, Juan and Shaghoulian, Edgar and Tajdini, Amirhossein},
abstractNote = {The information paradox can be realized in anti-de Sitter spacetime joined to a Minkowski region. In this setting, we show that the large discrepancy between the von Neumann entropy as calculated by Hawking and the requirements of unitarity is fixed by including new saddles in the gravitational path integral. These saddles arise in the replica method as complexified wormholes connecting different copies of the black hole. As the replica number n → 1, the presence of these wormholes leads to the island rule for the computation of the fine-grained gravitational entropy. We discuss these replica wormholes explicitly in two-dimensional Jackiw-Teitelboim gravity coupled to matter.},
doi = {10.1007/jhep05(2020)013},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2020,
place = {United States},
year = {Fri May 01 00:00:00 EDT 2020},
month = {Fri May 01 00:00:00 EDT 2020}
}
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