The Exact WKB analysis and the Stokes phenomena of the Unruh effect and Hawking radiation
Abstract The physical observables of quantum theory can be described by perturbation theory, which is often given by diverging power series. This divergence is connected to the existence of non-perturbative phenomena, where resurgence allows us to study this connection. Applying this idea to the WKB...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2022)037 |
| _version_ | 1797860022203449344 |
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| author | Seishi Enomoto Tomohiro Matsuda |
| author_facet | Seishi Enomoto Tomohiro Matsuda |
| author_sort | Seishi Enomoto |
| collection | DOAJ |
| description | Abstract The physical observables of quantum theory can be described by perturbation theory, which is often given by diverging power series. This divergence is connected to the existence of non-perturbative phenomena, where resurgence allows us to study this connection. Applying this idea to the WKB expansion, the exact WKB analysis gives a clear connection to non-perturbative phenomena. In this paper, we apply the exact WKB analysis to the Unruh effect and Hawking radiation. The mechanism we found in this paper is similar to the Schwinger effect of a constant electric field, where the background is static but the Stokes phenomenon appears in the temporal part. Comparing this with a sonic black hole, our calculations show a clear discrepancy between them. Then, we briefly explain how quantum backreactions can be included in the exact WKB formalism. |
| first_indexed | 2024-04-09T21:40:04Z |
| format | Article |
| id | doaj.art-6763e9d6b0404c6ab8109121f25a0fda |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T21:40:04Z |
| publishDate | 2022-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-6763e9d6b0404c6ab8109121f25a0fda2023-03-26T11:05:06ZengSpringerOpenJournal of High Energy Physics1029-84792022-12-0120221211910.1007/JHEP12(2022)037The Exact WKB analysis and the Stokes phenomena of the Unruh effect and Hawking radiationSeishi Enomoto0Tomohiro Matsuda1School of Physics, Sun Yat-sen UniversityLaboratory of Physics, Saitama Institute of TechnologyAbstract The physical observables of quantum theory can be described by perturbation theory, which is often given by diverging power series. This divergence is connected to the existence of non-perturbative phenomena, where resurgence allows us to study this connection. Applying this idea to the WKB expansion, the exact WKB analysis gives a clear connection to non-perturbative phenomena. In this paper, we apply the exact WKB analysis to the Unruh effect and Hawking radiation. The mechanism we found in this paper is similar to the Schwinger effect of a constant electric field, where the background is static but the Stokes phenomenon appears in the temporal part. Comparing this with a sonic black hole, our calculations show a clear discrepancy between them. Then, we briefly explain how quantum backreactions can be included in the exact WKB formalism.https://doi.org/10.1007/JHEP12(2022)037Black HolesNonperturbative Effects |
| spellingShingle | Seishi Enomoto Tomohiro Matsuda The Exact WKB analysis and the Stokes phenomena of the Unruh effect and Hawking radiation Journal of High Energy Physics Black Holes Nonperturbative Effects |
| title | The Exact WKB analysis and the Stokes phenomena of the Unruh effect and Hawking radiation |
| title_full | The Exact WKB analysis and the Stokes phenomena of the Unruh effect and Hawking radiation |
| title_fullStr | The Exact WKB analysis and the Stokes phenomena of the Unruh effect and Hawking radiation |
| title_full_unstemmed | The Exact WKB analysis and the Stokes phenomena of the Unruh effect and Hawking radiation |
| title_short | The Exact WKB analysis and the Stokes phenomena of the Unruh effect and Hawking radiation |
| title_sort | exact wkb analysis and the stokes phenomena of the unruh effect and hawking radiation |
| topic | Black Holes Nonperturbative Effects |
| url | https://doi.org/10.1007/JHEP12(2022)037 |
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