One-loop partition function of gravity with leaky boundary conditions
Abstract Leaky boundary conditions in asymptotically AdS spacetimes are relevant to discuss black hole evaporation and the evolution of the Page curve via the island formula. We explore the consequences of leaky boundary conditions on the one-loop partition function of gravity. We focus on JT gravit...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2024)080 |
| _version_ | 1797276151009247232 |
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| author | Daniel Grumiller Romain Ruzziconi Céline Zwikel |
| author_facet | Daniel Grumiller Romain Ruzziconi Céline Zwikel |
| author_sort | Daniel Grumiller |
| collection | DOAJ |
| description | Abstract Leaky boundary conditions in asymptotically AdS spacetimes are relevant to discuss black hole evaporation and the evolution of the Page curve via the island formula. We explore the consequences of leaky boundary conditions on the one-loop partition function of gravity. We focus on JT gravity minimally coupled to a scalar field whose normalizable and non-normalizable modes are both turned on, allowing for leakiness through the AdS boundary. Classically, this yields a flux-balance law relating the scalar news to the time derivative of the mass. Semi-classically, we argue that the usual diffeomorphism-invariant measure is ill-defined, suggesting that the area-non-preserving diffeomorphisms are broken at one loop. We calculate the associated anomaly and its implication on the gravitational Gauss law. Finally, we generalize our arguments to higher dimensions and dS. |
| first_indexed | 2024-03-07T15:23:14Z |
| format | Article |
| id | doaj.art-bf46dfc162af4e1181eac8f76dab5a9e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-07T15:23:14Z |
| publishDate | 2024-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-bf46dfc162af4e1181eac8f76dab5a9e2024-03-05T17:28:32ZengSpringerOpenJournal of High Energy Physics1029-84792024-02-012024213210.1007/JHEP02(2024)080One-loop partition function of gravity with leaky boundary conditionsDaniel Grumiller0Romain Ruzziconi1Céline Zwikel2Institute for Theoretical Physics, TU WienMathematical Institute, University of OxfordPerimeter Institute for Theoretical PhysicsAbstract Leaky boundary conditions in asymptotically AdS spacetimes are relevant to discuss black hole evaporation and the evolution of the Page curve via the island formula. We explore the consequences of leaky boundary conditions on the one-loop partition function of gravity. We focus on JT gravity minimally coupled to a scalar field whose normalizable and non-normalizable modes are both turned on, allowing for leakiness through the AdS boundary. Classically, this yields a flux-balance law relating the scalar news to the time derivative of the mass. Semi-classically, we argue that the usual diffeomorphism-invariant measure is ill-defined, suggesting that the area-non-preserving diffeomorphisms are broken at one loop. We calculate the associated anomaly and its implication on the gravitational Gauss law. Finally, we generalize our arguments to higher dimensions and dS.https://doi.org/10.1007/JHEP02(2024)080Gauge Symmetry2D GravityAnomalies in Field and String TheoriesBlack Holes |
| spellingShingle | Daniel Grumiller Romain Ruzziconi Céline Zwikel One-loop partition function of gravity with leaky boundary conditions Journal of High Energy Physics Gauge Symmetry 2D Gravity Anomalies in Field and String Theories Black Holes |
| title | One-loop partition function of gravity with leaky boundary conditions |
| title_full | One-loop partition function of gravity with leaky boundary conditions |
| title_fullStr | One-loop partition function of gravity with leaky boundary conditions |
| title_full_unstemmed | One-loop partition function of gravity with leaky boundary conditions |
| title_short | One-loop partition function of gravity with leaky boundary conditions |
| title_sort | one loop partition function of gravity with leaky boundary conditions |
| topic | Gauge Symmetry 2D Gravity Anomalies in Field and String Theories Black Holes |
| url | https://doi.org/10.1007/JHEP02(2024)080 |
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