Non-perturbative wavefunction of the universe in inflation with (resonant) features
Abstract We study the statistics of scalar perturbations in models of inflation with small and rapid oscillations in the inflaton potential (resonant non-Gaussianity). We do so by deriving the wavefunction Ψ[ζ(x)] non-perturbatively in ζ, but at first order in the amplitude of the oscillations. The...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2024)010 |
| _version_ | 1797276149926068224 |
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| author | Paolo Creminelli Sébastien Renaux-Petel Giovanni Tambalo Vicharit Yingcharoenrat |
| author_facet | Paolo Creminelli Sébastien Renaux-Petel Giovanni Tambalo Vicharit Yingcharoenrat |
| author_sort | Paolo Creminelli |
| collection | DOAJ |
| description | Abstract We study the statistics of scalar perturbations in models of inflation with small and rapid oscillations in the inflaton potential (resonant non-Gaussianity). We do so by deriving the wavefunction Ψ[ζ(x)] non-perturbatively in ζ, but at first order in the amplitude of the oscillations. The expression of the wavefunction of the universe (WFU) is explicit and does not require solving partial differential equations. One finds qualitative deviations from perturbation theory for |ζ| ≳ α −2, where α ≫ 1 is the number of oscillations per Hubble time. Notably, the WFU exhibits distinct behaviours for negative and positive values of ζ (troughs and peaks respectively). While corrections for ζ < 0 remain relatively small, of the order of the oscillation amplitude, positive ζ yields substantial effects, growing exponentially as e πα/2 in the limit of large ζ. This indicates that even minute oscillations give large effects on the tail of the distribution. |
| first_indexed | 2024-03-07T15:24:11Z |
| format | Article |
| id | doaj.art-bdc3077ba07748cfa5ea8df64e235d48 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-07T15:24:11Z |
| publishDate | 2024-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-bdc3077ba07748cfa5ea8df64e235d482024-03-05T17:26:31ZengSpringerOpenJournal of High Energy Physics1029-84792024-03-012024315410.1007/JHEP03(2024)010Non-perturbative wavefunction of the universe in inflation with (resonant) featuresPaolo Creminelli0Sébastien Renaux-Petel1Giovanni Tambalo2Vicharit Yingcharoenrat3ICTP, International Centre for Theoretical PhysicsInstitut d’Astrophysique de Paris, UMR 7095 du CNRS et de Sorbonne UniversitéMax Planck Institute for Gravitational Physics (Albert Einstein Institute)Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study (UTIAS), The University of TokyoAbstract We study the statistics of scalar perturbations in models of inflation with small and rapid oscillations in the inflaton potential (resonant non-Gaussianity). We do so by deriving the wavefunction Ψ[ζ(x)] non-perturbatively in ζ, but at first order in the amplitude of the oscillations. The expression of the wavefunction of the universe (WFU) is explicit and does not require solving partial differential equations. One finds qualitative deviations from perturbation theory for |ζ| ≳ α −2, where α ≫ 1 is the number of oscillations per Hubble time. Notably, the WFU exhibits distinct behaviours for negative and positive values of ζ (troughs and peaks respectively). While corrections for ζ < 0 remain relatively small, of the order of the oscillation amplitude, positive ζ yields substantial effects, growing exponentially as e πα/2 in the limit of large ζ. This indicates that even minute oscillations give large effects on the tail of the distribution.https://doi.org/10.1007/JHEP03(2024)010Cosmological modelsEffective Field TheoriesNonperturbative Effects |
| spellingShingle | Paolo Creminelli Sébastien Renaux-Petel Giovanni Tambalo Vicharit Yingcharoenrat Non-perturbative wavefunction of the universe in inflation with (resonant) features Journal of High Energy Physics Cosmological models Effective Field Theories Nonperturbative Effects |
| title | Non-perturbative wavefunction of the universe in inflation with (resonant) features |
| title_full | Non-perturbative wavefunction of the universe in inflation with (resonant) features |
| title_fullStr | Non-perturbative wavefunction of the universe in inflation with (resonant) features |
| title_full_unstemmed | Non-perturbative wavefunction of the universe in inflation with (resonant) features |
| title_short | Non-perturbative wavefunction of the universe in inflation with (resonant) features |
| title_sort | non perturbative wavefunction of the universe in inflation with resonant features |
| topic | Cosmological models Effective Field Theories Nonperturbative Effects |
| url | https://doi.org/10.1007/JHEP03(2024)010 |
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