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Autores principales: Fang, Cheng-Jun, Lyu, Zhen-Hong, Chen, Chao, Guo, Zong-Kuan
Formato: Preprint
Publicado: 2025
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Acceso en línea:https://arxiv.org/abs/2502.09555
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author Fang, Cheng-Jun
Lyu, Zhen-Hong
Chen, Chao
Guo, Zong-Kuan
author_facet Fang, Cheng-Jun
Lyu, Zhen-Hong
Chen, Chao
Guo, Zong-Kuan
contents We investigate the one-loop quantum correction to the power spectrum of primordial curvature perturbations in the ultra-slow-roll (USR) inflationary scenario, incorporating the backreaction effect from curvature perturbations. In the spatially-flat gauge, we expand the background inflaton field up to second order and identify the one-loop level backreaction term in the action. Utilizing a gauge transformation, we derive the comoving curvature interaction Hamiltonian in the presence of the backreaction term and calculate the one-loop correction using the in-in formalism. Our results reveal that the one-loop super-horizon corrections previously reported in the literature are canceled by the backreaction contributions. This finding underscores the importance of accounting for the backreaction effects in the analysis of quantum corrections during USR inflation.
format Preprint
id arxiv_https___arxiv_org_abs_2502_09555
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Incorporating Backreaction in One-Loop Corrections in Ultra-Slow-Roll Inflation
Fang, Cheng-Jun
Lyu, Zhen-Hong
Chen, Chao
Guo, Zong-Kuan
General Relativity and Quantum Cosmology
We investigate the one-loop quantum correction to the power spectrum of primordial curvature perturbations in the ultra-slow-roll (USR) inflationary scenario, incorporating the backreaction effect from curvature perturbations. In the spatially-flat gauge, we expand the background inflaton field up to second order and identify the one-loop level backreaction term in the action. Utilizing a gauge transformation, we derive the comoving curvature interaction Hamiltonian in the presence of the backreaction term and calculate the one-loop correction using the in-in formalism. Our results reveal that the one-loop super-horizon corrections previously reported in the literature are canceled by the backreaction contributions. This finding underscores the importance of accounting for the backreaction effects in the analysis of quantum corrections during USR inflation.
title Incorporating Backreaction in One-Loop Corrections in Ultra-Slow-Roll Inflation
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2502.09555