One-loop corrections to infrared GWs is forbidden by symmetries

Fuente: arXiv
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Autori principali: Fang, Cheng-Jun, Hu, Han-Wen, Guo, Zong-Kuan
Natura: Preprint
Pubblicazione: 2025
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author Fang, Cheng-Jun
Hu, Han-Wen
Guo, Zong-Kuan
author_facet Fang, Cheng-Jun
Hu, Han-Wen
Guo, Zong-Kuan
contents Small-scale scalar perturbations amplified during inflation can induce primordial gravitational waves through tensor-scalar interactions. A long-standing controversial issue is whether the one-loop corrections to tensor perturbations exist on large scales. Firstly, we demonstrate through direct one-loop calculations that one-loop corrections cancel each other out on large scales. We then proceed from the symmetry of the interacting system and directly prove, based on the Ward identity, the absence of one-loop corrections on large scales-without the need for specific loop diagram calculations. This is consistent with the results we previously obtained for scalar perturbations.
format Preprint
id arxiv_https___arxiv_org_abs_2509_00420
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle One-loop corrections to infrared GWs is forbidden by symmetries
Fang, Cheng-Jun
Hu, Han-Wen
Guo, Zong-Kuan
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
Small-scale scalar perturbations amplified during inflation can induce primordial gravitational waves through tensor-scalar interactions. A long-standing controversial issue is whether the one-loop corrections to tensor perturbations exist on large scales. Firstly, we demonstrate through direct one-loop calculations that one-loop corrections cancel each other out on large scales. We then proceed from the symmetry of the interacting system and directly prove, based on the Ward identity, the absence of one-loop corrections on large scales-without the need for specific loop diagram calculations. This is consistent with the results we previously obtained for scalar perturbations.
title One-loop corrections to infrared GWs is forbidden by symmetries
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2509.00420