Gravitationally dominated instantons and instability of dS, AdS and Minkowski spaces
Abstract We study the decay of the false vacuum in the regime where the quantum field theory analysis is not valid, since gravitational effects become important. This happens when the height of the barrier separating the false and the true vacuum is large, and it has implications for the instability...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-11-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP11(2024)021 |
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| author | Viatcheslav F. Mukhanov Yaron Oz Alexander S. Sorin |
| author_facet | Viatcheslav F. Mukhanov Yaron Oz Alexander S. Sorin |
| author_sort | Viatcheslav F. Mukhanov |
| collection | DOAJ |
| description | Abstract We study the decay of the false vacuum in the regime where the quantum field theory analysis is not valid, since gravitational effects become important. This happens when the height of the barrier separating the false and the true vacuum is large, and it has implications for the instability of de Sitter, Minkowski and anti-de Sitter vacua. We carry out the calculations for a scalar field with a potential coupled to gravity, and work within the thin-wall approximation, where the bubble wall is thin compared to the size of the bubble. We show that the false de Sitter vacuum is unstable, independently of the height of the potential and the relative depth of the true vacuum compared to the false vacuum. The false Minkowski and anti-de Sitter vacua can be stable despite the existence of a lower energy true vacuum. However, when the relative depth of the true and false vacua exceeds a critical value, which depends on the potential of the false vacuum and the height of the barrier, then the false Minkowski and anti-de Sitter vacua become unstable. We calculate the probability for the decay of the false de Sitter, Minkowski and anti-de Sitter vacua, as a function of the parameters characterizing the field potential. |
| format | Article |
| id | doaj-art-5a3efb48729f4c47a1ebd1d1b9eeae3c |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-5a3efb48729f4c47a1ebd1d1b9eeae3c2024-12-08T12:08:33ZengSpringerOpenJournal of High Energy Physics1029-84792024-11-0120241111810.1007/JHEP11(2024)021Gravitationally dominated instantons and instability of dS, AdS and Minkowski spacesViatcheslav F. Mukhanov0Yaron Oz1Alexander S. Sorin2Ludwig Maximilian UniversitySchool of Physics and Astronomy, Tel-Aviv UniversityCenter for Quantum Science and Technology, Tel-Aviv UniversityAbstract We study the decay of the false vacuum in the regime where the quantum field theory analysis is not valid, since gravitational effects become important. This happens when the height of the barrier separating the false and the true vacuum is large, and it has implications for the instability of de Sitter, Minkowski and anti-de Sitter vacua. We carry out the calculations for a scalar field with a potential coupled to gravity, and work within the thin-wall approximation, where the bubble wall is thin compared to the size of the bubble. We show that the false de Sitter vacuum is unstable, independently of the height of the potential and the relative depth of the true vacuum compared to the false vacuum. The false Minkowski and anti-de Sitter vacua can be stable despite the existence of a lower energy true vacuum. However, when the relative depth of the true and false vacua exceeds a critical value, which depends on the potential of the false vacuum and the height of the barrier, then the false Minkowski and anti-de Sitter vacua become unstable. We calculate the probability for the decay of the false de Sitter, Minkowski and anti-de Sitter vacua, as a function of the parameters characterizing the field potential.https://doi.org/10.1007/JHEP11(2024)021Nonperturbative EffectsSolitons Monopoles and InstantonsClassical Theories of Gravityde Sitter space |
| spellingShingle | Viatcheslav F. Mukhanov Yaron Oz Alexander S. Sorin Gravitationally dominated instantons and instability of dS, AdS and Minkowski spaces Journal of High Energy Physics Nonperturbative Effects Solitons Monopoles and Instantons Classical Theories of Gravity de Sitter space |
| title | Gravitationally dominated instantons and instability of dS, AdS and Minkowski spaces |
| title_full | Gravitationally dominated instantons and instability of dS, AdS and Minkowski spaces |
| title_fullStr | Gravitationally dominated instantons and instability of dS, AdS and Minkowski spaces |
| title_full_unstemmed | Gravitationally dominated instantons and instability of dS, AdS and Minkowski spaces |
| title_short | Gravitationally dominated instantons and instability of dS, AdS and Minkowski spaces |
| title_sort | gravitationally dominated instantons and instability of ds ads and minkowski spaces |
| topic | Nonperturbative Effects Solitons Monopoles and Instantons Classical Theories of Gravity de Sitter space |
| url | https://doi.org/10.1007/JHEP11(2024)021 |
| work_keys_str_mv | AT viatcheslavfmukhanov gravitationallydominatedinstantonsandinstabilityofdsadsandminkowskispaces AT yaronoz gravitationallydominatedinstantonsandinstabilityofdsadsandminkowskispaces AT alexanderssorin gravitationallydominatedinstantonsandinstabilityofdsadsandminkowskispaces |