A Unified Bogoliubov Approach to Primordial Gravitational Waves: From Inflation to Reheating

Fuente: arXiv
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Main Authors: Wang, Yubing, Wu, Quan-feng, Xu, Xun-Jie
Format: Preprint
Published: 2026
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author Wang, Yubing
Wu, Quan-feng
Xu, Xun-Jie
author_facet Wang, Yubing
Wu, Quan-feng
Xu, Xun-Jie
contents We present an effective numerical method that can be used to straightforwardly calculate the full spectrum of primordial gravitational waves produced during inflation and reheating. Our method is based on the Bogoliubov approach with several key improvements to overcome its shortcomings such as numerical instabilities at high frequencies and issues with tachyonic modes. We also present a few useful analytical examples from which one can gain crucial insights into the numerical instabilities. The improved method allows us to demonstrate that anharmonicity of inflaton oscillations can leave interesting fingerprints on the high-frequency part of the GW spectrum. Our numerical code is publicly available on GitHub https://github.com/xunjiexu/Unified-Bogoliubov.git.
format Preprint
id arxiv_https___arxiv_org_abs_2604_17478
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Unified Bogoliubov Approach to Primordial Gravitational Waves: From Inflation to Reheating
Wang, Yubing
Wu, Quan-feng
Xu, Xun-Jie
High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
We present an effective numerical method that can be used to straightforwardly calculate the full spectrum of primordial gravitational waves produced during inflation and reheating. Our method is based on the Bogoliubov approach with several key improvements to overcome its shortcomings such as numerical instabilities at high frequencies and issues with tachyonic modes. We also present a few useful analytical examples from which one can gain crucial insights into the numerical instabilities. The improved method allows us to demonstrate that anharmonicity of inflaton oscillations can leave interesting fingerprints on the high-frequency part of the GW spectrum. Our numerical code is publicly available on GitHub https://github.com/xunjiexu/Unified-Bogoliubov.git.
title A Unified Bogoliubov Approach to Primordial Gravitational Waves: From Inflation to Reheating
topic High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2604.17478