Fluctuations about the Fubini-Lipatov instanton for false vacuum decay in classically scale invariant models
For a scalar theory whose classical scale invariance is broken by quantum effects, we compute self-consistent bounce solutions and Green's functions. Deriving analytic expressions, we find that the latter are similar to the Green's functions in the archetypal thin-wall model for tunneling...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
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American Physical Society
2018
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| Online Access: | https://eprints.nottingham.ac.uk/52298/ |
| _version_ | 1848798693748113408 |
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| author | Garbrecht, Björn Millington, Peter |
| author_facet | Garbrecht, Björn Millington, Peter |
| author_sort | Garbrecht, Björn |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | For a scalar theory whose classical scale invariance is broken by quantum effects, we compute self-consistent bounce solutions and Green's functions. Deriving analytic expressions, we find that the latter are similar to the Green's functions in the archetypal thin-wall model for tunneling between quasi-degenerate vacua. The eigenmodes and eigenspectra are, however, very different. Large infrared effects from the modes of low angular momentum j = 0 and j = 1, which include the approximate dilatational modes for j = 0, are dealt with by a resummation of one loop effects. For a parametric example, this resummation is carried out numerically. |
| first_indexed | 2025-11-14T20:23:50Z |
| format | Article |
| id | nottingham-52298 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T20:23:50Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-522982020-05-08T09:15:09Z https://eprints.nottingham.ac.uk/52298/ Fluctuations about the Fubini-Lipatov instanton for false vacuum decay in classically scale invariant models Garbrecht, Björn Millington, Peter For a scalar theory whose classical scale invariance is broken by quantum effects, we compute self-consistent bounce solutions and Green's functions. Deriving analytic expressions, we find that the latter are similar to the Green's functions in the archetypal thin-wall model for tunneling between quasi-degenerate vacua. The eigenmodes and eigenspectra are, however, very different. Large infrared effects from the modes of low angular momentum j = 0 and j = 1, which include the approximate dilatational modes for j = 0, are dealt with by a resummation of one loop effects. For a parametric example, this resummation is carried out numerically. American Physical Society 2018-07-02 Article PeerReviewed application/pdf en cc_by https://eprints.nottingham.ac.uk/52298/8/PhysRevD.98.016001.pdf application/pdf en https://eprints.nottingham.ac.uk/52298/1/abyss.pdf Garbrecht, Björn and Millington, Peter (2018) Fluctuations about the Fubini-Lipatov instanton for false vacuum decay in classically scale invariant models. Physical Review D, 98 (1). 016001 /1-016001 /27. ISSN 2470-0029 https://journals.aps.org/prd/abstract/10.1103/PhysRevD.98.016001 doi:10.1103/PhysRevD.98.016001 doi:10.1103/PhysRevD.98.016001 |
| spellingShingle | Garbrecht, Björn Millington, Peter Fluctuations about the Fubini-Lipatov instanton for false vacuum decay in classically scale invariant models |
| title | Fluctuations about the Fubini-Lipatov instanton for
false vacuum decay in classically scale invariant models |
| title_full | Fluctuations about the Fubini-Lipatov instanton for
false vacuum decay in classically scale invariant models |
| title_fullStr | Fluctuations about the Fubini-Lipatov instanton for
false vacuum decay in classically scale invariant models |
| title_full_unstemmed | Fluctuations about the Fubini-Lipatov instanton for
false vacuum decay in classically scale invariant models |
| title_short | Fluctuations about the Fubini-Lipatov instanton for
false vacuum decay in classically scale invariant models |
| title_sort | fluctuations about the fubini-lipatov instanton for
false vacuum decay in classically scale invariant models |
| url | https://eprints.nottingham.ac.uk/52298/ https://eprints.nottingham.ac.uk/52298/ https://eprints.nottingham.ac.uk/52298/ |