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Published July 2022 | Published + Submitted
Journal Article Open

Computing the gauge-invariant bubble nucleation rate in finite temperature effective field theory

Abstract

A gauge-invariant framework for computing bubble nucleation rates at finite temperature in the presence of radiative barriers was presented and advocated for model-building and phenomenological studies in an accompanying article [1]. Here, we detail this computation using the Abelian Higgs Model as an illustrative example. Subsequently, we recast this approach in the dimensionally-reduced high-temperature effective field theory for nucleation. This allows for including several higher order thermal resummations and furthermore delineate clearly the approach's limits of validity. This approach provides for robust perturbative treatments of bubble nucleation during possible first-order cosmic phase transitions, with implications for electroweak baryogenesis and production of a stochastic gravitational wave background. Furthermore, it yields a sound comparison between results of perturbative and non-perturbative computations.

Additional Information

© 2022 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received 24 January 2022. Revised 06 June 2022. Accepted 08 June 2022. Article funded by SCOAP3. We wish to thank Andreas Ekstedt, Oliver Gould and Anders Thomsen for enlightening discussions. Specially we thank Suntharan Arunasalam for his contributions at the early stage of this project. In addition, we thank the anonymous referee for pointing out the resummation scheme based on freedom to choose the 3d RG scale, in section 3.4. MJRM and TT are supported in part under National Science Foundation of China grant no. 19Z103010239. PS has been supported by the European Research Council, grant no. 725369, and by the Academy of Finland, grant no. 1322507.

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Submitted - 2112.08912.pdf

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Created:
August 22, 2023
Modified:
October 23, 2023