Functional determinants for false vacuum decay
Abstract We derive simple expressions to regularise functional determinants from fluctuations of fields with spin 0, 1/2, and 1. These are important for the precise dimensionful determination of false vacuum decay rates. We work in D = 4 Euclidean dimensions and use familiar Feynman diagrammatic tec...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP05(2025)100 |
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| author | Pietro Baratella Miha Nemevšek Yutaro Shoji Katarina Trailović Lorenzo Ubaldi |
| author_facet | Pietro Baratella Miha Nemevšek Yutaro Shoji Katarina Trailović Lorenzo Ubaldi |
| author_sort | Pietro Baratella |
| collection | DOAJ |
| description | Abstract We derive simple expressions to regularise functional determinants from fluctuations of fields with spin 0, 1/2, and 1. These are important for the precise dimensionful determination of false vacuum decay rates. We work in D = 4 Euclidean dimensions and use familiar Feynman diagrammatic techniques with a double expansion in interactions and masses, together with dimensional regularisation in momentum space. We Fourier transform to coordinate space and end up with a simple regularisation prescription in terms of single integrals over the Euclidean radius of field-dependent masses and their derivatives. Our results apply to models with an arbitrary scalar potential and with any number of scalars, fermions, gauge bosons and associated ghosts. We exemplify this approach on the Standard Model with a streamlined calculation of the renormalisation and isolation of divergences in fluctuation determinants. |
| format | Article |
| id | doaj-art-f1c74b9f6e9f442c805c23b6f34d5d03 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-f1c74b9f6e9f442c805c23b6f34d5d032025-08-20T02:05:46ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025514810.1007/JHEP05(2025)100Functional determinants for false vacuum decayPietro Baratella0Miha Nemevšek1Yutaro Shoji2Katarina Trailović3Lorenzo Ubaldi4Jožef Stefan InstituteJožef Stefan InstituteJožef Stefan InstituteJožef Stefan InstituteJožef Stefan InstituteAbstract We derive simple expressions to regularise functional determinants from fluctuations of fields with spin 0, 1/2, and 1. These are important for the precise dimensionful determination of false vacuum decay rates. We work in D = 4 Euclidean dimensions and use familiar Feynman diagrammatic techniques with a double expansion in interactions and masses, together with dimensional regularisation in momentum space. We Fourier transform to coordinate space and end up with a simple regularisation prescription in terms of single integrals over the Euclidean radius of field-dependent masses and their derivatives. Our results apply to models with an arbitrary scalar potential and with any number of scalars, fermions, gauge bosons and associated ghosts. We exemplify this approach on the Standard Model with a streamlined calculation of the renormalisation and isolation of divergences in fluctuation determinants.https://doi.org/10.1007/JHEP05(2025)100Cosmology of Theories BSMSolitons Monopoles and InstantonsHiggs PropertiesMulti-Higgs Models |
| spellingShingle | Pietro Baratella Miha Nemevšek Yutaro Shoji Katarina Trailović Lorenzo Ubaldi Functional determinants for false vacuum decay Journal of High Energy Physics Cosmology of Theories BSM Solitons Monopoles and Instantons Higgs Properties Multi-Higgs Models |
| title | Functional determinants for false vacuum decay |
| title_full | Functional determinants for false vacuum decay |
| title_fullStr | Functional determinants for false vacuum decay |
| title_full_unstemmed | Functional determinants for false vacuum decay |
| title_short | Functional determinants for false vacuum decay |
| title_sort | functional determinants for false vacuum decay |
| topic | Cosmology of Theories BSM Solitons Monopoles and Instantons Higgs Properties Multi-Higgs Models |
| url | https://doi.org/10.1007/JHEP05(2025)100 |
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