| Title: | False vacuum decay rate from thin to thick walls |
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| Authors: | ID Matteini, Marco, Institut "Jožef Stefan" (Author) ID Nemevšek, Miha, Institut "Jožef Stefan" (Author) ID Shoji, Yutaro, Institut "Jožef Stefan" (Author) ID Ubaldi, Lorenzo, Institut "Jožef Stefan" (Author) |
| Files: | URL - Source URL, visit https://link.springer.com/article/10.1007/JHEP04(2025)120
PDF - Presentation file, download (1,54 MB) MD5: 8CECDDFDD58110BE159501351A049475
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | IJS - Jožef Stefan Institute
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| Abstract: | We consider a single real scalar field in flat spacetime with a polynomial potential up to ϕ4, that has a local minimum, the false vacuum, and a deeper global minimum, the true vacuum. When the vacua are almost degenerate we are in the thin wall regime, while as their difference in potential energy increases, we approach the thick wall regime. We give explicit simple formulae for the decay rate of the false vacuum in 3 and 4 spacetime dimensions. Our results include a careful treatment both of the bounce action, which enters at the exponent of the decay rate, and of the functional determinant at one loop, which determines the prefactor. The bounce action is computed analytically as an expansion in the thin wall parameter in generic D dimensions. We find that truncating such an expansion at second order we obtain a remarkably accurate bounce action also deep into thick wall regimes. We calculate the functional determinant numerically in 3 and 4 dimensions and fit the results with simple polynomials of the same thin wall parameter. This allows us to write the complete one-loop decay rate as a compact expression, which works accurately from thin to thick wall regimes. |
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| Keywords: | metastable states, false vacuum, decay rates, thermal field theory, early Universe |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 03.03.2024 |
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| Article acceptance date: | 04.03.2025 |
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| Publication date: | 16.04.2025 |
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| Publisher: | SISSA |
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| Year of publishing: | 2025 |
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| Number of pages: | str. 1-48 |
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| Numbering: | Vol. 2025, article no. 120 |
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| Source: | Italija |
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| PID: | 20.500.12556/DiRROS-24527  |
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| UDC: | 53 |
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| ISSN on article: | 1029-8479 |
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| DOI: | 10.1007/JHEP04(2025)120  |
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| COBISS.SI-ID: | 233074947  |
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| Copyright: | © The Authors. |
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| Note: | Nasl. z nasl. zaslona;
Soavtorji: Miha Nemevšek, Yutaro Shoji, Lorenzo Ubaldi;
Opis vira z dne 17. 4. 2025;
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| Publication date in DiRROS: | 04.12.2025 |
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| Views: | 127 |
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| Downloads: | 90 |
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