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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.06580 |
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| _version_ | 1866909454471004160 |
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| author | Bae, Jeong-Myeong Mohammad, Hammam Raihan Stewart, Ewan D. Zoe, Heeseung |
| author_facet | Bae, Jeong-Myeong Mohammad, Hammam Raihan Stewart, Ewan D. Zoe, Heeseung |
| contents | During thermal inflation, the temperature determines the number of e-folds of expansion of the universe and so thermal fluctuations are magnified into curvature perturbations. We use classical thermodynamics to calculate the subhorizon thermal fluctuations and trace their evolution into superhorizon temperature perturbations. We convert the temperature perturbations into curvature perturbations using the $δN$-formalism, or equivalently the junction condition of curvature perturbations at the end of thermal inflation, denoted by subscript c, and show that the late-time power spectrum is $P_\mathcal{R} = \frac{15}{4π^4} \frac{H^3_\mathrm{c}}{g_* T^3_\mathrm{c}} \frac{k^3}{k^3_\mathrm{c}}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06580 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The curvature perturbation generated by thermal fluctuations during thermal inflation Bae, Jeong-Myeong Mohammad, Hammam Raihan Stewart, Ewan D. Zoe, Heeseung Cosmology and Nongalactic Astrophysics During thermal inflation, the temperature determines the number of e-folds of expansion of the universe and so thermal fluctuations are magnified into curvature perturbations. We use classical thermodynamics to calculate the subhorizon thermal fluctuations and trace their evolution into superhorizon temperature perturbations. We convert the temperature perturbations into curvature perturbations using the $δN$-formalism, or equivalently the junction condition of curvature perturbations at the end of thermal inflation, denoted by subscript c, and show that the late-time power spectrum is $P_\mathcal{R} = \frac{15}{4π^4} \frac{H^3_\mathrm{c}}{g_* T^3_\mathrm{c}} \frac{k^3}{k^3_\mathrm{c}}$. |
| title | The curvature perturbation generated by thermal fluctuations during thermal inflation |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2501.06580 |