Cancellation of quantum corrections on the soft curvature perturbations
Abstract We study the cancellation of quantum corrections on the superhorizon curvature perturbations from subhorizon physics beyond the single-clock inflation from the viewpoint of the cosmological soft theorem. As an example, we focus on the transient ultra-slow-roll inflation scenario and compute...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2024)105 |
| _version_ | 1827265051702067200 |
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| author | Yuichiro Tada Takahiro Terada Junsei Tokuda |
| author_facet | Yuichiro Tada Takahiro Terada Junsei Tokuda |
| author_sort | Yuichiro Tada |
| collection | DOAJ |
| description | Abstract We study the cancellation of quantum corrections on the superhorizon curvature perturbations from subhorizon physics beyond the single-clock inflation from the viewpoint of the cosmological soft theorem. As an example, we focus on the transient ultra-slow-roll inflation scenario and compute the one-loop quantum corrections to the power spectrum of curvature perturbations taking into account nontrivial surface terms in the action. We find that Maldacena’s consistency relation is satisfied and guarantees the cancellation of contributions from the short-scale modes. As a corollary, primordial black hole production in single-field inflation scenarios is not excluded by perturbativity breakdown even for the sharp transition case in contrast to some recent claims in the literature. We also comment on the relation between the tadpole diagram in the in-in formalism and the shift of the elapsed time in the stochastic-δN formalism. We find our argument is not directly generalisable to the tensor perturbations. |
| first_indexed | 2024-03-08T12:41:28Z |
| format | Article |
| id | doaj.art-8cfe0b2ad128442c8940b881d290f619 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2025-03-22T03:55:49Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8cfe0b2ad128442c8940b881d290f6192024-04-28T11:07:21ZengSpringerOpenJournal of High Energy Physics1029-84792024-01-012024112410.1007/JHEP01(2024)105Cancellation of quantum corrections on the soft curvature perturbationsYuichiro Tada0Takahiro Terada1Junsei Tokuda2Institute for Advanced Research, Nagoya UniversityParticle Theory and Cosmology Group, Center for Theoretical Physics of the Universe, Institute for Basic Science (IBS)Particle Theory and Cosmology Group, Center for Theoretical Physics of the Universe, Institute for Basic Science (IBS)Abstract We study the cancellation of quantum corrections on the superhorizon curvature perturbations from subhorizon physics beyond the single-clock inflation from the viewpoint of the cosmological soft theorem. As an example, we focus on the transient ultra-slow-roll inflation scenario and compute the one-loop quantum corrections to the power spectrum of curvature perturbations taking into account nontrivial surface terms in the action. We find that Maldacena’s consistency relation is satisfied and guarantees the cancellation of contributions from the short-scale modes. As a corollary, primordial black hole production in single-field inflation scenarios is not excluded by perturbativity breakdown even for the sharp transition case in contrast to some recent claims in the literature. We also comment on the relation between the tadpole diagram in the in-in formalism and the shift of the elapsed time in the stochastic-δN formalism. We find our argument is not directly generalisable to the tensor perturbations.https://doi.org/10.1007/JHEP01(2024)105Early Universe Particle PhysicsCosmological modelsScale and Conformal Symmetries |
| spellingShingle | Yuichiro Tada Takahiro Terada Junsei Tokuda Cancellation of quantum corrections on the soft curvature perturbations Journal of High Energy Physics Early Universe Particle Physics Cosmological models Scale and Conformal Symmetries |
| title | Cancellation of quantum corrections on the soft curvature perturbations |
| title_full | Cancellation of quantum corrections on the soft curvature perturbations |
| title_fullStr | Cancellation of quantum corrections on the soft curvature perturbations |
| title_full_unstemmed | Cancellation of quantum corrections on the soft curvature perturbations |
| title_short | Cancellation of quantum corrections on the soft curvature perturbations |
| title_sort | cancellation of quantum corrections on the soft curvature perturbations |
| topic | Early Universe Particle Physics Cosmological models Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP01(2024)105 |
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