The tunneling decay rate in QFT beyond the thin wall approximation
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908708585340928 |
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| author | Flores-Hidalgo, G. |
| author_facet | Flores-Hidalgo, G. |
| contents | The tunneling decay rate per unit volume in Quantum Field Theory (QFT), at order $\hbar$, is given by $Γ/V = Ae^{-B}$, where $B$ is the Euclidean action evaluated at the so-called bounce, and $A$ is proportional to the determinant of a second-order differential operator. The dominant contribution comes from the exponential factor. To estimate $Γ/V$, one must determine the bounce configuration, which satisfies a highly nonlinear equation. A common approach in the literature is the thin-wall approximation. In this work, we extend the formalism to cases where the thin-wall approximation is not valid. We employ a simple variational method to estimate both the bounce and the decay rate, and we find good agreement between our results and full numerical calculations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12161 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The tunneling decay rate in QFT beyond the thin wall approximation Flores-Hidalgo, G. High Energy Physics - Theory General Relativity and Quantum Cosmology The tunneling decay rate per unit volume in Quantum Field Theory (QFT), at order $\hbar$, is given by $Γ/V = Ae^{-B}$, where $B$ is the Euclidean action evaluated at the so-called bounce, and $A$ is proportional to the determinant of a second-order differential operator. The dominant contribution comes from the exponential factor. To estimate $Γ/V$, one must determine the bounce configuration, which satisfies a highly nonlinear equation. A common approach in the literature is the thin-wall approximation. In this work, we extend the formalism to cases where the thin-wall approximation is not valid. We employ a simple variational method to estimate both the bounce and the decay rate, and we find good agreement between our results and full numerical calculations. |
| title | The tunneling decay rate in QFT beyond the thin wall approximation |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2512.12161 |