Pedraza, Juan F;
Svesko, Andrew;
Sybesma, Watse;
Visser, Manus R;
(2022)
Microcanonical action and the entropy of Hawking radiation.
Physical Review D
, 105
(12)
, Article 126010. 10.1103/PhysRevD.105.126010.
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Abstract
The island formula—an extremization prescription for generalized entropy—is known to result in a unitary Page curve for the entropy of Hawking radiation. This semiclassical entropy formula has been derived for Jackiw-Teitelboim (JT) gravity coupled to conformal matter using the “replica trick” to evaluate the Euclidean path integral. Alternatively, for eternal Anti–de Sitter black holes, we derive the extremization of generalized entropy from minimizing the microcanonical action of an entanglement wedge. The on-shell action is minus the entropy and arises in the saddle-point approximation of the (nonreplicated) microcanonical path integral. When the black hole is coupled to a bath, islands emerge from maximizing the entropy at fixed energy, consistent with the island formula. Our method applies to JT gravity as well as other two-dimensional dilaton gravity theories.
| Type: | Article |
|---|---|
| Title: | Microcanonical action and the entropy of Hawking radiation |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevD.105.126010 |
| Publisher version: | https://doi.org/10.1103/PhysRevD.105.126010 |
| Language: | English |
| Additional information: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. |
| 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-pp.ucl.ac.uk/id/eprint/10151869 |
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