Entanglement entropy and vacuum states in Schwarzschild geometry
Abstract Recently, it was proposed that there must be either large violation of the additivity conjecture or a set of disentangled states of the black hole in the AdS/CFT correspondence. In this paper, we study the additivity conjecture for quantum states of fields around the Schwarzschild black hol...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-06-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2022)109 |
| _version_ | 1797865748643708928 |
|---|---|
| author | Yoshinori Matsuo |
| author_facet | Yoshinori Matsuo |
| author_sort | Yoshinori Matsuo |
| collection | DOAJ |
| description | Abstract Recently, it was proposed that there must be either large violation of the additivity conjecture or a set of disentangled states of the black hole in the AdS/CFT correspondence. In this paper, we study the additivity conjecture for quantum states of fields around the Schwarzschild black hole. In the eternal Schwarzschild spacetime, the entanglement entropy of the Hawking radiation is calculated assuming that the vacuum state is the Hartle-Hawking vacuum. In the additivity conjecture, we need to consider the state which gives minimal output entropy of a quantum channel. The Hartle-Hawking vacuum state does not give the minimal output entropy which is consistent with the additivity conjecture. We study the entanglement entropy in other static vacua and show that it is consistent with the additivity conjecture. |
| first_indexed | 2024-04-09T23:13:12Z |
| format | Article |
| id | doaj.art-88f9fbffb7394a1cb2a044529f073c46 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:13:12Z |
| publishDate | 2022-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-88f9fbffb7394a1cb2a044529f073c462023-03-22T10:14:27ZengSpringerOpenJournal of High Energy Physics1029-84792022-06-012022612810.1007/JHEP06(2022)109Entanglement entropy and vacuum states in Schwarzschild geometryYoshinori Matsuo0Department of Physics, Kyoto UniversityAbstract Recently, it was proposed that there must be either large violation of the additivity conjecture or a set of disentangled states of the black hole in the AdS/CFT correspondence. In this paper, we study the additivity conjecture for quantum states of fields around the Schwarzschild black hole. In the eternal Schwarzschild spacetime, the entanglement entropy of the Hawking radiation is calculated assuming that the vacuum state is the Hartle-Hawking vacuum. In the additivity conjecture, we need to consider the state which gives minimal output entropy of a quantum channel. The Hartle-Hawking vacuum state does not give the minimal output entropy which is consistent with the additivity conjecture. We study the entanglement entropy in other static vacua and show that it is consistent with the additivity conjecture.https://doi.org/10.1007/JHEP06(2022)109Black HolesAdS-CFT CorrespondenceBlack Holes in String TheoryGauge-Gravity Correspondence |
| spellingShingle | Yoshinori Matsuo Entanglement entropy and vacuum states in Schwarzschild geometry Journal of High Energy Physics Black Holes AdS-CFT Correspondence Black Holes in String Theory Gauge-Gravity Correspondence |
| title | Entanglement entropy and vacuum states in Schwarzschild geometry |
| title_full | Entanglement entropy and vacuum states in Schwarzschild geometry |
| title_fullStr | Entanglement entropy and vacuum states in Schwarzschild geometry |
| title_full_unstemmed | Entanglement entropy and vacuum states in Schwarzschild geometry |
| title_short | Entanglement entropy and vacuum states in Schwarzschild geometry |
| title_sort | entanglement entropy and vacuum states in schwarzschild geometry |
| topic | Black Holes AdS-CFT Correspondence Black Holes in String Theory Gauge-Gravity Correspondence |
| url | https://doi.org/10.1007/JHEP06(2022)109 |
| work_keys_str_mv | AT yoshinorimatsuo entanglemententropyandvacuumstatesinschwarzschildgeometry |