Absence of one-loop effects on large scales from small scales in non-slow-roll dynamics. Part 2. Quartic interactions and consistency relations
Abstract We prove explicitly the absence of one-loop corrections to large scales from small scales in transient non-slow-roll dynamics. Specifically, we address loop corrections to the primordial power spectrum, relative to tree-level, that are independent of the ratio between the two scales. We rev...
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2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)108 |
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| author | Jacopo Fumagalli |
| author_facet | Jacopo Fumagalli |
| author_sort | Jacopo Fumagalli |
| collection | DOAJ |
| description | Abstract We prove explicitly the absence of one-loop corrections to large scales from small scales in transient non-slow-roll dynamics. Specifically, we address loop corrections to the primordial power spectrum, relative to tree-level, that are independent of the ratio between the two scales. We review all the necessary components, adapted to our context, to express one-loop diagrams as three-point functions, emphasizing the crucial role played by quartic interactions. Notably, we include the quartic Hamiltonian induced by the cubic Lagrangian and quartic interactions that are ensured by diffeomorphism invariance. We then explicitly prove consistency relations for an arbitrary transient non-slow-roll phase involving operators with (time) derivatives. Finally, we calculate one-loop corrections by including contributions from the relevant cubic and quartic interactions, and express the final result as a total derivative term over comoving momenta, utilizing the consistency relations we established. This leads us to conclude that one-loop corrections to long-wavelength modes are unaffected by the physics of short and enhanced modes in non-slow-roll dynamics. |
| format | Article |
| id | doaj-art-fbc7152631364b67bb61c8471c7cff0a |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-fbc7152631364b67bb61c8471c7cff0a2025-02-09T12:07:35ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025114510.1007/JHEP01(2025)108Absence of one-loop effects on large scales from small scales in non-slow-roll dynamics. Part 2. Quartic interactions and consistency relationsJacopo Fumagalli0Departament de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos (ICC), Universitat de BarcelonaAbstract We prove explicitly the absence of one-loop corrections to large scales from small scales in transient non-slow-roll dynamics. Specifically, we address loop corrections to the primordial power spectrum, relative to tree-level, that are independent of the ratio between the two scales. We review all the necessary components, adapted to our context, to express one-loop diagrams as three-point functions, emphasizing the crucial role played by quartic interactions. Notably, we include the quartic Hamiltonian induced by the cubic Lagrangian and quartic interactions that are ensured by diffeomorphism invariance. We then explicitly prove consistency relations for an arbitrary transient non-slow-roll phase involving operators with (time) derivatives. Finally, we calculate one-loop corrections by including contributions from the relevant cubic and quartic interactions, and express the final result as a total derivative term over comoving momenta, utilizing the consistency relations we established. This leads us to conclude that one-loop corrections to long-wavelength modes are unaffected by the physics of short and enhanced modes in non-slow-roll dynamics.https://doi.org/10.1007/JHEP01(2025)108Cosmology of Theories BSMEarly Universe Particle PhysicsCosmological models |
| spellingShingle | Jacopo Fumagalli Absence of one-loop effects on large scales from small scales in non-slow-roll dynamics. Part 2. Quartic interactions and consistency relations Journal of High Energy Physics Cosmology of Theories BSM Early Universe Particle Physics Cosmological models |
| title | Absence of one-loop effects on large scales from small scales in non-slow-roll dynamics. Part 2. Quartic interactions and consistency relations |
| title_full | Absence of one-loop effects on large scales from small scales in non-slow-roll dynamics. Part 2. Quartic interactions and consistency relations |
| title_fullStr | Absence of one-loop effects on large scales from small scales in non-slow-roll dynamics. Part 2. Quartic interactions and consistency relations |
| title_full_unstemmed | Absence of one-loop effects on large scales from small scales in non-slow-roll dynamics. Part 2. Quartic interactions and consistency relations |
| title_short | Absence of one-loop effects on large scales from small scales in non-slow-roll dynamics. Part 2. Quartic interactions and consistency relations |
| title_sort | absence of one loop effects on large scales from small scales in non slow roll dynamics part 2 quartic interactions and consistency relations |
| topic | Cosmology of Theories BSM Early Universe Particle Physics Cosmological models |
| url | https://doi.org/10.1007/JHEP01(2025)108 |
| work_keys_str_mv | AT jacopofumagalli absenceofoneloopeffectsonlargescalesfromsmallscalesinnonslowrolldynamicspart2quarticinteractionsandconsistencyrelations |