Causal gravitational waves as a probe of free streaming particles and the expansion of the Universe

Abstract The low frequency part of the gravitational wave spectrum generated by local physics, such as a phase transition or parametric resonance, is largely fixed by causality, offering a clean window into the early Universe. In this work, this low frequency end of the spectrum is analyzed with an...

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Main Authors: Anson Hook, Gustavo Marques-Tavares, Davide Racco
Format: Article
Language:English
Published: SpringerOpen 2021-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP02(2021)117
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author Anson Hook
Gustavo Marques-Tavares
Davide Racco
author_facet Anson Hook
Gustavo Marques-Tavares
Davide Racco
author_sort Anson Hook
collection DOAJ
description Abstract The low frequency part of the gravitational wave spectrum generated by local physics, such as a phase transition or parametric resonance, is largely fixed by causality, offering a clean window into the early Universe. In this work, this low frequency end of the spectrum is analyzed with an emphasis on a physical understanding, such as the suppressed production of gravitational waves due to the excitation of an over-damped harmonic oscillator and their enhancement due to being frozen out while outside the horizon. Due to the difference between sub-horizon and super-horizon physics, it is inevitable that there will be a distinct spectral feature that could allow for the direct measurement of the conformal Hubble rate at which the phase transition occurred. As an example, free-streaming particles (such as the gravity waves themselves) present during the phase transition affect the production of super-horizon modes. This leads to a steeper decrease in the spectrum at low frequencies as compared to the well-known causal k 3 super-horizon scaling of stochastic gravity waves. If a sizable fraction of the energy density is in free-streaming particles, they even lead to the appearance of oscillatory features in the spectrum. If the universe was not radiation dominated when the waves were generated, a similar feature also occurs at the transition between sub-horizon to super-horizon causality. These features are used to show surprising consequences, such as the fact that a period of matter domination following the production of gravity waves actually increases their power spectrum at low frequencies.
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spelling doaj.art-bcd2d1e0f9cf4c718b4c6472743559812022-12-21T23:08:24ZengSpringerOpenJournal of High Energy Physics1029-84792021-02-012021212510.1007/JHEP02(2021)117Causal gravitational waves as a probe of free streaming particles and the expansion of the UniverseAnson Hook0Gustavo Marques-Tavares1Davide Racco2Maryland Center for Fundamental Physics, University of MarylandMaryland Center for Fundamental Physics, University of MarylandPerimeter Institute for Theoretical PhysicsAbstract The low frequency part of the gravitational wave spectrum generated by local physics, such as a phase transition or parametric resonance, is largely fixed by causality, offering a clean window into the early Universe. In this work, this low frequency end of the spectrum is analyzed with an emphasis on a physical understanding, such as the suppressed production of gravitational waves due to the excitation of an over-damped harmonic oscillator and their enhancement due to being frozen out while outside the horizon. Due to the difference between sub-horizon and super-horizon physics, it is inevitable that there will be a distinct spectral feature that could allow for the direct measurement of the conformal Hubble rate at which the phase transition occurred. As an example, free-streaming particles (such as the gravity waves themselves) present during the phase transition affect the production of super-horizon modes. This leads to a steeper decrease in the spectrum at low frequencies as compared to the well-known causal k 3 super-horizon scaling of stochastic gravity waves. If a sizable fraction of the energy density is in free-streaming particles, they even lead to the appearance of oscillatory features in the spectrum. If the universe was not radiation dominated when the waves were generated, a similar feature also occurs at the transition between sub-horizon to super-horizon causality. These features are used to show surprising consequences, such as the fact that a period of matter domination following the production of gravity waves actually increases their power spectrum at low frequencies.https://doi.org/10.1007/JHEP02(2021)117Cosmology of Theories beyond the SMBeyond Standard ModelClassical Theories of Gravity
spellingShingle Anson Hook
Gustavo Marques-Tavares
Davide Racco
Causal gravitational waves as a probe of free streaming particles and the expansion of the Universe
Journal of High Energy Physics
Cosmology of Theories beyond the SM
Beyond Standard Model
Classical Theories of Gravity
title Causal gravitational waves as a probe of free streaming particles and the expansion of the Universe
title_full Causal gravitational waves as a probe of free streaming particles and the expansion of the Universe
title_fullStr Causal gravitational waves as a probe of free streaming particles and the expansion of the Universe
title_full_unstemmed Causal gravitational waves as a probe of free streaming particles and the expansion of the Universe
title_short Causal gravitational waves as a probe of free streaming particles and the expansion of the Universe
title_sort causal gravitational waves as a probe of free streaming particles and the expansion of the universe
topic Cosmology of Theories beyond the SM
Beyond Standard Model
Classical Theories of Gravity
url https://doi.org/10.1007/JHEP02(2021)117
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