Microcanonical action and the entropy of Hawking radiation - INSPIRE

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Microcanonical action and the entropy of Hawking radiation

Juan F. Pedraza
(
- Barcelona U. and
- ICC, Barcelona U.
)
,
Andrew Svesko
(
- University Coll. London
)
,
Watse Sybesma
(
- Iceland U.
)
,
Manus R. Visser
(
- Geneva U.
)

Nov 12, 2021

10 pages

Published in:

Phys.Rev.D 105 (2022) 12, 126010

Published: Jun 6, 2022

e-Print:

2111.06912 [hep-th]

DOI:

10.1103/PhysRevD.105.126010 (publication)

View in:

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Abstract: (APS)

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.

Note:

5 pages and appendices, 2 figures; minor clarifications added, PRD version

entropy: Hawking
radiation: Hawking
matter: conformal
gravitation: coupling
dimension: 2
black hole: anti-de Sitter
path integral: Euclidean
gravitation: dilaton
unitarity
entanglement

References(80)

Figures(2)

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