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Title:False vacuum decay rate from thin to thick walls
Authors:ID Matteini, Marco, Institut "Jožef Stefan" (Author)
ID Nemevšek, Miha, Institut "Jožef Stefan" (Author)
ID Shoji, Yutaro, Institut "Jožef Stefan" (Author)
ID Ubaldi, Lorenzo, Institut "Jožef Stefan" (Author)
Files:URL URL - Source URL, visit https://link.springer.com/article/10.1007/JHEP04(2025)120
 
.pdf PDF - Presentation file, download (1,54 MB)
MD5: 8CECDDFDD58110BE159501351A049475
 
Language:English
Typology:1.01 - Original Scientific Article
Organization:Logo IJS - Jožef Stefan Institute
Abstract:We consider a single real scalar field in flat spacetime with a polynomial potential up to ϕ4, that has a local minimum, the false vacuum, and a deeper global minimum, the true vacuum. When the vacua are almost degenerate we are in the thin wall regime, while as their difference in potential energy increases, we approach the thick wall regime. We give explicit simple formulae for the decay rate of the false vacuum in 3 and 4 spacetime dimensions. Our results include a careful treatment both of the bounce action, which enters at the exponent of the decay rate, and of the functional determinant at one loop, which determines the prefactor. The bounce action is computed analytically as an expansion in the thin wall parameter in generic D dimensions. We find that truncating such an expansion at second order we obtain a remarkably accurate bounce action also deep into thick wall regimes. We calculate the functional determinant numerically in 3 and 4 dimensions and fit the results with simple polynomials of the same thin wall parameter. This allows us to write the complete one-loop decay rate as a compact expression, which works accurately from thin to thick wall regimes.
Keywords:metastable states, false vacuum, decay rates, thermal field theory, early Universe
Publication status:Published
Publication version:Version of Record
Submitted for review:03.03.2024
Article acceptance date:04.03.2025
Publication date:16.04.2025
Publisher:SISSA
Year of publishing:2025
Number of pages:str. 1-48
Numbering:Vol. 2025, article no. 120
Source:Italija
PID:20.500.12556/DiRROS-24527 New window
UDC:53
ISSN on article:1029-8479
DOI:10.1007/JHEP04(2025)120 New window
COBISS.SI-ID:233074947 New window
Copyright:© The Authors.
Note:Nasl. z nasl. zaslona; Soavtorji: Miha Nemevšek, Yutaro Shoji, Lorenzo Ubaldi; Opis vira z dne 17. 4. 2025;
Publication date in DiRROS:04.12.2025
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Record is a part of a journal

Title:The journal of high energy physics
Shortened title:J. high energy phys.
Publisher:SISSA
ISSN:1029-8479
COBISS.SI-ID:1314148 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P1-0035-2019
Name:Teorija jedra, osnovnih delcev in polj

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:N1-0253-2022
Name:FLAMENCO: Okus, leptonsko število in raziskovanje mas nevtrinov na CMS

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J1-4389-2022
Name:Izvor nevtrinskih mas: od trkalnikov do gravitacijskih valov

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:Young Researcher program
Name:Young Researcher program

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J1-60026-2025
Name:Reheating the universe via pair production

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:16.04.2025
Applies to:VoR

Secondary language

Language:Slovenian
Keywords:razpad lažnega vakuuma


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