Replica wormholes for an evaporating 2D black hole
Abstract Quantum extremal islands reproduce the unitary Page curve of an evaporating black hole. This has been derived by including replica wormholes in the gravitational path integral, but for the transient, evaporating black holes most relevant to Hawking’s paradox, these wormholes have not been a...
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Online Access: | https://doi.org/10.1007/JHEP04(2021)289 |
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doaj-43781205b490455185fe6a27732d50af2021-05-02T11:07:40ZengSpringerOpenJournal of High Energy Physics1029-84792021-04-012021415710.1007/JHEP04(2021)289Replica wormholes for an evaporating 2D black holeKanato Goto0Thomas Hartman1Amirhossein Tajdini2Department of Physics, Cornell UniversityDepartment of Physics, Cornell UniversityDepartment of Physics, University of CaliforniaAbstract Quantum extremal islands reproduce the unitary Page curve of an evaporating black hole. This has been derived by including replica wormholes in the gravitational path integral, but for the transient, evaporating black holes most relevant to Hawking’s paradox, these wormholes have not been analyzed in any detail. In this paper we study replica wormholes for black holes formed by gravitational collapse in Jackiw-Teitelboim gravity, and confirm that they lead to the island rule for the entropy. The main technical challenge is that replica wormholes rely on a Euclidean path integral, while the quantum extremal islands of an evaporating black hole exist only in Lorentzian signature. Furthermore, the Euclidean equations for the Schwarzian mode are non-local, so it is unclear how to connect to the local, Lorentzian dynamics of an evaporating black hole. We address these issues with Schwinger-Keldysh techniques and show how the non-local equations reduce to the local ‘boundary particle’ description in special cases.https://doi.org/10.1007/JHEP04(2021)2892D GravityBlack HolesModels of Quantum Gravity |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Kanato Goto Thomas Hartman Amirhossein Tajdini |
spellingShingle |
Kanato Goto Thomas Hartman Amirhossein Tajdini Replica wormholes for an evaporating 2D black hole Journal of High Energy Physics 2D Gravity Black Holes Models of Quantum Gravity |
author_facet |
Kanato Goto Thomas Hartman Amirhossein Tajdini |
author_sort |
Kanato Goto |
title |
Replica wormholes for an evaporating 2D black hole |
title_short |
Replica wormholes for an evaporating 2D black hole |
title_full |
Replica wormholes for an evaporating 2D black hole |
title_fullStr |
Replica wormholes for an evaporating 2D black hole |
title_full_unstemmed |
Replica wormholes for an evaporating 2D black hole |
title_sort |
replica wormholes for an evaporating 2d black hole |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2021-04-01 |
description |
Abstract Quantum extremal islands reproduce the unitary Page curve of an evaporating black hole. This has been derived by including replica wormholes in the gravitational path integral, but for the transient, evaporating black holes most relevant to Hawking’s paradox, these wormholes have not been analyzed in any detail. In this paper we study replica wormholes for black holes formed by gravitational collapse in Jackiw-Teitelboim gravity, and confirm that they lead to the island rule for the entropy. The main technical challenge is that replica wormholes rely on a Euclidean path integral, while the quantum extremal islands of an evaporating black hole exist only in Lorentzian signature. Furthermore, the Euclidean equations for the Schwarzian mode are non-local, so it is unclear how to connect to the local, Lorentzian dynamics of an evaporating black hole. We address these issues with Schwinger-Keldysh techniques and show how the non-local equations reduce to the local ‘boundary particle’ description in special cases. |
topic |
2D Gravity Black Holes Models of Quantum Gravity |
url |
https://doi.org/10.1007/JHEP04(2021)289 |
work_keys_str_mv |
AT kanatogoto replicawormholesforanevaporating2dblackhole AT thomashartman replicawormholesforanevaporating2dblackhole AT amirhosseintajdini replicawormholesforanevaporating2dblackhole |
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1721492606082351104 |