Islands in non-minimal dilaton gravity: exploring effective theories for black hole evaporation
Abstract We start from (3 + 1)-dimensional Einstein gravity with minimally coupled massless scalar matter, through spherical dimensional reduction, the matter theory is non-minimally coupled with the dilaton in (1 + 1)-dimensions. Despite its simplicity, constructing a self-consistent one-loop effec...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP10(2023)094 |
| _version_ | 1797341419790139392 |
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| author | Chih-Hung Wu Jiuci Xu |
| author_facet | Chih-Hung Wu Jiuci Xu |
| author_sort | Chih-Hung Wu |
| collection | DOAJ |
| description | Abstract We start from (3 + 1)-dimensional Einstein gravity with minimally coupled massless scalar matter, through spherical dimensional reduction, the matter theory is non-minimally coupled with the dilaton in (1 + 1)-dimensions. Despite its simplicity, constructing a self-consistent one-loop effective theory for this model remains a challenge, partially due to a Weyl-invariant ambiguity in the effective action. With a universal splitting property for the one-loop action, the ambiguity can be identified with the state-dependent part of the covariant quantum stress tensor. By introducing on-shell equivalent auxiliary fields to construct minimal candidates of Weyl-invariant terms, we derive a one-parameter family of one-loop actions with unique, regular, and physical stress tensors corresponding to the Boulware, Hartle-Hawking and Unruh states. We further study the back-reacted geometry and the corresponding quantum extremal islands that were inaccessible without a consistent one-loop theory. Along the way, we elaborate on the implications of our construction for the non-minimal dilaton gravity model. |
| first_indexed | 2024-03-08T10:17:47Z |
| format | Article |
| id | doaj.art-734b23e8a6144600ab4569cccf698821 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T10:17:47Z |
| publishDate | 2023-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-734b23e8a6144600ab4569cccf6988212024-01-28T12:13:15ZengSpringerOpenJournal of High Energy Physics1029-84792023-10-0120231016110.1007/JHEP10(2023)094Islands in non-minimal dilaton gravity: exploring effective theories for black hole evaporationChih-Hung Wu0Jiuci Xu1Department of Physics, University of CaliforniaDepartment of Physics, University of CaliforniaAbstract We start from (3 + 1)-dimensional Einstein gravity with minimally coupled massless scalar matter, through spherical dimensional reduction, the matter theory is non-minimally coupled with the dilaton in (1 + 1)-dimensions. Despite its simplicity, constructing a self-consistent one-loop effective theory for this model remains a challenge, partially due to a Weyl-invariant ambiguity in the effective action. With a universal splitting property for the one-loop action, the ambiguity can be identified with the state-dependent part of the covariant quantum stress tensor. By introducing on-shell equivalent auxiliary fields to construct minimal candidates of Weyl-invariant terms, we derive a one-parameter family of one-loop actions with unique, regular, and physical stress tensors corresponding to the Boulware, Hartle-Hawking and Unruh states. We further study the back-reacted geometry and the corresponding quantum extremal islands that were inaccessible without a consistent one-loop theory. Along the way, we elaborate on the implications of our construction for the non-minimal dilaton gravity model.https://doi.org/10.1007/JHEP10(2023)0942D GravityBlack HolesEffective Field Theories |
| spellingShingle | Chih-Hung Wu Jiuci Xu Islands in non-minimal dilaton gravity: exploring effective theories for black hole evaporation Journal of High Energy Physics 2D Gravity Black Holes Effective Field Theories |
| title | Islands in non-minimal dilaton gravity: exploring effective theories for black hole evaporation |
| title_full | Islands in non-minimal dilaton gravity: exploring effective theories for black hole evaporation |
| title_fullStr | Islands in non-minimal dilaton gravity: exploring effective theories for black hole evaporation |
| title_full_unstemmed | Islands in non-minimal dilaton gravity: exploring effective theories for black hole evaporation |
| title_short | Islands in non-minimal dilaton gravity: exploring effective theories for black hole evaporation |
| title_sort | islands in non minimal dilaton gravity exploring effective theories for black hole evaporation |
| topic | 2D Gravity Black Holes Effective Field Theories |
| url | https://doi.org/10.1007/JHEP10(2023)094 |
| work_keys_str_mv | AT chihhungwu islandsinnonminimaldilatongravityexploringeffectivetheoriesforblackholeevaporation AT jiucixu islandsinnonminimaldilatongravityexploringeffectivetheoriesforblackholeevaporation |