Conservation of superhorizon curvature perturbations at one loop: Backreaction in the in-in formalism and Renormalization

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Auteur principal: Inomata, Keisuke
Format: Preprint
Publié: 2025
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author Inomata, Keisuke
author_facet Inomata, Keisuke
contents We show that the superhorizon-limit curvature perturbations are conserved at one-loop level in single-field inflation models with a transient non-slow-roll period. We take the spatially-flat gauge, where the backreaction plays a crucial role for the conservation of superhorizon curvature perturbations unless the counter terms are tuned. We calculate the backreaction with the in-in formalism. In addition, we explicitly show the renormalization of the UV divergences with the counter terms.
format Preprint
id arxiv_https___arxiv_org_abs_2502_08707
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Conservation of superhorizon curvature perturbations at one loop: Backreaction in the in-in formalism and Renormalization
Inomata, Keisuke
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
We show that the superhorizon-limit curvature perturbations are conserved at one-loop level in single-field inflation models with a transient non-slow-roll period. We take the spatially-flat gauge, where the backreaction plays a crucial role for the conservation of superhorizon curvature perturbations unless the counter terms are tuned. We calculate the backreaction with the in-in formalism. In addition, we explicitly show the renormalization of the UV divergences with the counter terms.
title Conservation of superhorizon curvature perturbations at one loop: Backreaction in the in-in formalism and Renormalization
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2502.08707