The curvature perturbation generated by thermal fluctuations during thermal inflation

Fuente: arXiv
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Autores principales: Bae, Jeong-Myeong, Mohammad, Hammam Raihan, Stewart, Ewan D., Zoe, Heeseung
Formato: Preprint
Publicado: 2025
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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