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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2202.04498 |
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| _version_ | 1866909562319142912 |
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| author | Ivanov, Aleksandar Matteini, Marco Nemevšek, Miha Ubaldi, Lorenzo |
| author_facet | Ivanov, Aleksandar Matteini, Marco Nemevšek, Miha Ubaldi, Lorenzo |
| contents | We derive a closed-form false vacuum decay rate at one loop in the thin wall limit, where the true and false vacua are nearly degenerate. We obtain the bounce configuration in $D$ dimensions, together with the Euclidean action with a higher order correction, counter-terms and renormalization group running. We extract the functional determinant via the Gel'fand-Yaglom theorem for low and generic orbital multipoles. The negative and zero eigenvalues appear for low multipoles and the translational zeroes are removed. We compute the fluctuations for generic multipoles, multiply and regulate the orbital modes. We find an explicit finite renormalized decay rate in $D = 3, 4$ and give a closed-form expression for the finite functional determinant in any dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_04498 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Analytic thin wall false vacuum decay rate Ivanov, Aleksandar Matteini, Marco Nemevšek, Miha Ubaldi, Lorenzo High Energy Physics - Theory High Energy Astrophysical Phenomena High Energy Physics - Phenomenology We derive a closed-form false vacuum decay rate at one loop in the thin wall limit, where the true and false vacua are nearly degenerate. We obtain the bounce configuration in $D$ dimensions, together with the Euclidean action with a higher order correction, counter-terms and renormalization group running. We extract the functional determinant via the Gel'fand-Yaglom theorem for low and generic orbital multipoles. The negative and zero eigenvalues appear for low multipoles and the translational zeroes are removed. We compute the fluctuations for generic multipoles, multiply and regulate the orbital modes. We find an explicit finite renormalized decay rate in $D = 3, 4$ and give a closed-form expression for the finite functional determinant in any dimension. |
| title | Analytic thin wall false vacuum decay rate |
| topic | High Energy Physics - Theory High Energy Astrophysical Phenomena High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2202.04498 |