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Title: Theory and numerics of gravitational waves from preheating after inflation

Abstract

Preheating after inflation involves large, time-dependent field inhomogeneities, which act as a classical source of gravitational radiation. The resulting spectrum might be probed by direct detection experiments if inflation occurs at a low enough energy scale. In this paper, we develop a theory and algorithm to calculate, analytically and numerically, the spectrum of energy density in gravitational waves produced from an inhomogeneous background of stochastic scalar fields in an expanding universe. We derive some generic analytical results for the emission of gravity waves by stochastic media of random fields, which can test the validity/accuracy of numerical calculations. We contrast our method with other numerical methods in the literature, and then we apply it to preheating after chaotic inflation. In this case, we are able to check analytically our numerical results, which differ significantly from previous works. We discuss how the gravity-wave spectrum builds up with time and find that the amplitude and the frequency of its peak depend in a relatively simple way on the characteristic spatial scale amplified during preheating. We then estimate the peak frequency and amplitude of the spectrum produced in two models of preheating after hybrid inflation, which for some parameters may be relevant for gravity-wavemore » interferometric experiments.« less

Authors:
;  [1]; ;  [2];  [3]
  1. CITA, University of Toronto, 60 St. George Street, Toronto, ON M5S 3H8 (Canada)
  2. Department of Physics, Clark Science Center, Smith College, Northampton, Massachusetts 01063 (United States)
  3. Institut d'Astrophysique de Paris, Universite Pierre and Marie Curie-Paris VI, CNRS-UMR 7095, 98 bis, Bd Arago, 75014 Paris (France)
Publication Date:
OSTI Identifier:
21024025
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 76; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.76.123517; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGORITHMS; AMPLITUDES; CHAOS THEORY; COSMOLOGY; EMISSION; ENERGY DENSITY; GRAVITATIONAL RADIATION; GRAVITATIONAL WAVES; GRAVITY WAVES; INFLATIONARY UNIVERSE; RANDOMNESS; SCALAR FIELDS; STOCHASTIC PROCESSES; TIME DEPENDENCE; UNIVERSE

Citation Formats

Dufaux, Jean-Francois, Kofman, Lev, Bergman, Amanda, Felder, Gary, and Uzan, Jean-Philippe. Theory and numerics of gravitational waves from preheating after inflation. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.76.123517.
Dufaux, Jean-Francois, Kofman, Lev, Bergman, Amanda, Felder, Gary, & Uzan, Jean-Philippe. Theory and numerics of gravitational waves from preheating after inflation. United States. https://doi.org/10.1103/PHYSREVD.76.123517
Dufaux, Jean-Francois, Kofman, Lev, Bergman, Amanda, Felder, Gary, and Uzan, Jean-Philippe. Sat . "Theory and numerics of gravitational waves from preheating after inflation". United States. https://doi.org/10.1103/PHYSREVD.76.123517.
@article{osti_21024025,
title = {Theory and numerics of gravitational waves from preheating after inflation},
author = {Dufaux, Jean-Francois and Kofman, Lev and Bergman, Amanda and Felder, Gary and Uzan, Jean-Philippe},
abstractNote = {Preheating after inflation involves large, time-dependent field inhomogeneities, which act as a classical source of gravitational radiation. The resulting spectrum might be probed by direct detection experiments if inflation occurs at a low enough energy scale. In this paper, we develop a theory and algorithm to calculate, analytically and numerically, the spectrum of energy density in gravitational waves produced from an inhomogeneous background of stochastic scalar fields in an expanding universe. We derive some generic analytical results for the emission of gravity waves by stochastic media of random fields, which can test the validity/accuracy of numerical calculations. We contrast our method with other numerical methods in the literature, and then we apply it to preheating after chaotic inflation. In this case, we are able to check analytically our numerical results, which differ significantly from previous works. We discuss how the gravity-wave spectrum builds up with time and find that the amplitude and the frequency of its peak depend in a relatively simple way on the characteristic spatial scale amplified during preheating. We then estimate the peak frequency and amplitude of the spectrum produced in two models of preheating after hybrid inflation, which for some parameters may be relevant for gravity-wave interferometric experiments.},
doi = {10.1103/PHYSREVD.76.123517},
url = {https://www.osti.gov/biblio/21024025}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 12,
volume = 76,
place = {United States},
year = {2007},
month = {12}
}