On the Metastability of Quantum Fields in Thermal Bath
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929487069839360 |
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| author | Fan, Zhiyi Moroi, Takeo |
| author_facet | Fan, Zhiyi Moroi, Takeo |
| contents | We investigate the metastability of scalar fields in quantum field theories at finite temperature, focusing on a detailed understanding of the bounce solution. At finite temperature, the bounce solution depends on two variables: the Euclidean time $τ$ and the spatial radial distance $r$, and it is periodic in the $τ$ direction. We propose a novel method to determine the bounce that describes transitions in a thermal bath, suitable for numerical calculations. Two types of bounces exist for transitions in the thermal bath: $τ$-dependent and $τ$-independent bounces. We apply our method to compute these bounces in several models, including both thin-wall and thick-wall scenarios, to examine their properties. Specifically, we evaluate the critical temperature below which the $τ$-independent bounce becomes destabilized due to fluctuations, rendering it irrelevant. We demonstrate that in the thick-wall case, the $τ$-dependent bounce smoothly transitions into the $τ$-independent one as temperature increases, whereas in the thin-wall case, the transition between the two types of bounces is discontinuous. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_11153 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Metastability of Quantum Fields in Thermal Bath Fan, Zhiyi Moroi, Takeo High Energy Physics - Phenomenology We investigate the metastability of scalar fields in quantum field theories at finite temperature, focusing on a detailed understanding of the bounce solution. At finite temperature, the bounce solution depends on two variables: the Euclidean time $τ$ and the spatial radial distance $r$, and it is periodic in the $τ$ direction. We propose a novel method to determine the bounce that describes transitions in a thermal bath, suitable for numerical calculations. Two types of bounces exist for transitions in the thermal bath: $τ$-dependent and $τ$-independent bounces. We apply our method to compute these bounces in several models, including both thin-wall and thick-wall scenarios, to examine their properties. Specifically, we evaluate the critical temperature below which the $τ$-independent bounce becomes destabilized due to fluctuations, rendering it irrelevant. We demonstrate that in the thick-wall case, the $τ$-dependent bounce smoothly transitions into the $τ$-independent one as temperature increases, whereas in the thin-wall case, the transition between the two types of bounces is discontinuous. |
| title | On the Metastability of Quantum Fields in Thermal Bath |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2406.11153 |