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Main Authors: Chen, Guangshang, Xiao, Yang, Yang, Jin Min, Zhang, Yang
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.24891
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author Chen, Guangshang
Xiao, Yang
Yang, Jin Min
Zhang, Yang
author_facet Chen, Guangshang
Xiao, Yang
Yang, Jin Min
Zhang, Yang
contents Standard calculations of cosmological first-order phase transitions usually assume critical bubbles to nucleate on a homogeneous symmetric vacuum background. However, this assumption can fail in weak transitions, where thermal fluctuations trigger subcritical bubbles before the standard nucleation temperature $T_n$. Motivated by this possibility, we systematically examine whether the homogeneous nucleation background approximation is self-consistent. By evolving the Gelmini-Gleiser subcritical bubble kinetics and comparing it with the standard critical bubble nucleation picture, we identify the parameter regions in which the background becomes apparently mixed. A detailed scan of these regions shows that sizable subcritical volume fractions arise when the two phases are nearly degenerate at $T_n$, the potential barrier is low, the difference of free energy between the symmetric and broken phases is moderate and the transition strength is weak. Our analysis further yields a simple criterion, $\log_{10}\hat f_ξ(T_n)\simeq -1.95$, for a percent level subcritical bubble volume fraction. Parameter points above this boundary should be treated as mixed background candidates rather than as ordinary homogeneous bounce points.
format Preprint
id arxiv_https___arxiv_org_abs_2605_24891
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Subcritical bubble prehistory in weak first-order phase transition
Chen, Guangshang
Xiao, Yang
Yang, Jin Min
Zhang, Yang
High Energy Physics - Phenomenology
Standard calculations of cosmological first-order phase transitions usually assume critical bubbles to nucleate on a homogeneous symmetric vacuum background. However, this assumption can fail in weak transitions, where thermal fluctuations trigger subcritical bubbles before the standard nucleation temperature $T_n$. Motivated by this possibility, we systematically examine whether the homogeneous nucleation background approximation is self-consistent. By evolving the Gelmini-Gleiser subcritical bubble kinetics and comparing it with the standard critical bubble nucleation picture, we identify the parameter regions in which the background becomes apparently mixed. A detailed scan of these regions shows that sizable subcritical volume fractions arise when the two phases are nearly degenerate at $T_n$, the potential barrier is low, the difference of free energy between the symmetric and broken phases is moderate and the transition strength is weak. Our analysis further yields a simple criterion, $\log_{10}\hat f_ξ(T_n)\simeq -1.95$, for a percent level subcritical bubble volume fraction. Parameter points above this boundary should be treated as mixed background candidates rather than as ordinary homogeneous bounce points.
title Subcritical bubble prehistory in weak first-order phase transition
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2605.24891