Instantons: thick-wall approximation
Abstract We develop a new method for estimating the decay probability of the false vacuum via regularized instantons. Namely, we consider the case where the potential is either unbounded from below or the second minimum corresponding to the true vacuum has a depth exceeding the height of the potenti...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2022)147 |
| _version_ | 1828778314336043008 |
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| author | V. F. Mukhanov A. S. Sorin |
| author_facet | V. F. Mukhanov A. S. Sorin |
| author_sort | V. F. Mukhanov |
| collection | DOAJ |
| description | Abstract We develop a new method for estimating the decay probability of the false vacuum via regularized instantons. Namely, we consider the case where the potential is either unbounded from below or the second minimum corresponding to the true vacuum has a depth exceeding the height of the potential barrier. In this case, the materialized bubbles dominating the vacuum decay naturally have a thick wall and the thin-wall approximation is not applicable. We prove that in such a case the main contribution to the action determining the decay probability comes from the part of the solution for which the potential term in the equation for instantons can be neglected compared to the friction term. We show that the developed approximation exactly reproduces the leading order results for the few known exactly solvable potentials. The proposed method is applied to generic scalar field potentials in an arbitrary number of dimensions. |
| first_indexed | 2024-12-11T16:38:46Z |
| format | Article |
| id | doaj.art-0f7de0417e47411ba030ee14d7e4c106 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T16:38:46Z |
| publishDate | 2022-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0f7de0417e47411ba030ee14d7e4c1062022-12-22T00:58:22ZengSpringerOpenJournal of High Energy Physics1029-84792022-07-012022711310.1007/JHEP07(2022)147Instantons: thick-wall approximationV. F. Mukhanov0A. S. Sorin1Ludwig Maxmillian UniversityBogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear ResearchAbstract We develop a new method for estimating the decay probability of the false vacuum via regularized instantons. Namely, we consider the case where the potential is either unbounded from below or the second minimum corresponding to the true vacuum has a depth exceeding the height of the potential barrier. In this case, the materialized bubbles dominating the vacuum decay naturally have a thick wall and the thin-wall approximation is not applicable. We prove that in such a case the main contribution to the action determining the decay probability comes from the part of the solution for which the potential term in the equation for instantons can be neglected compared to the friction term. We show that the developed approximation exactly reproduces the leading order results for the few known exactly solvable potentials. The proposed method is applied to generic scalar field potentials in an arbitrary number of dimensions.https://doi.org/10.1007/JHEP07(2022)147Nonperturbative EffectsPhase TransitionsSolitons Monopoles and Instantons |
| spellingShingle | V. F. Mukhanov A. S. Sorin Instantons: thick-wall approximation Journal of High Energy Physics Nonperturbative Effects Phase Transitions Solitons Monopoles and Instantons |
| title | Instantons: thick-wall approximation |
| title_full | Instantons: thick-wall approximation |
| title_fullStr | Instantons: thick-wall approximation |
| title_full_unstemmed | Instantons: thick-wall approximation |
| title_short | Instantons: thick-wall approximation |
| title_sort | instantons thick wall approximation |
| topic | Nonperturbative Effects Phase Transitions Solitons Monopoles and Instantons |
| url | https://doi.org/10.1007/JHEP07(2022)147 |
| work_keys_str_mv | AT vfmukhanov instantonsthickwallapproximation AT assorin instantonsthickwallapproximation |