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Title: Consistency relations for sharp features in the primordial spectra

Abstract

We study the generation of sharp features in the primordial spectra within the framework of effective field theory of inflation, wherein curvature perturbations are the consequence of the dynamics of a single scalar degree of freedom. We identify two sources in the generation of features: rapid variations of the sound speed c{sub s} (at which curvature fluctuations propagate) and rapid variations of the expansion rate H during inflation. With this in mind, we propose a non-trivial relation linking these two quantities that allows us to study the generation of sharp features in realistic scenarios where features are the result of the simultaneous occurrence of these two sources. This relation depends on a single parameter with a value determined by the particular model (and its numerical input) responsible for the rapidly varying background. As a consequence, we find a one-parameter consistency relation between the shape and size of features in the bispectrum and features in the power spectrum. To substantiate this result, we discuss several examples of models for which this one-parameter relation (between c{sub s} and H) holds, including models in which features in the spectra are both sudden and resonant.

Authors:
; ;  [1];  [2]
  1. Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Blanco Encalada 2008, Santiago (Chile)
  2. Departamento de Física, Facultad de Ciencias, Universidad de Chile, Las Palmeras 3425, Ñuñoa, Santiago (Chile)
Publication Date:
OSTI Identifier:
22525216
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2015; Journal Issue: 10; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COSMOLOGICAL INFLATION; DEGREES OF FREEDOM; DISTURBANCES; FIELD THEORIES; FLUCTUATIONS; INFLATIONARY UNIVERSE; SCALARS; SOUND WAVES; VELOCITY

Citation Formats

Mooij, Sander, Palma, Gonzalo A., Panotopoulos, Grigoris, and Soto, Alex, E-mail: sander.mooij@ing.uchile.cl, E-mail: gpalmaquilod@ing.uchile.cl, E-mail: gpanotop@ing.uchile.cl, E-mail: alexsv@ug.uchile.cl. Consistency relations for sharp features in the primordial spectra. United States: N. p., 2015. Web. doi:10.1088/1475-7516/2015/10/062.
Mooij, Sander, Palma, Gonzalo A., Panotopoulos, Grigoris, & Soto, Alex, E-mail: sander.mooij@ing.uchile.cl, E-mail: gpalmaquilod@ing.uchile.cl, E-mail: gpanotop@ing.uchile.cl, E-mail: alexsv@ug.uchile.cl. Consistency relations for sharp features in the primordial spectra. United States. doi:10.1088/1475-7516/2015/10/062.
Mooij, Sander, Palma, Gonzalo A., Panotopoulos, Grigoris, and Soto, Alex, E-mail: sander.mooij@ing.uchile.cl, E-mail: gpalmaquilod@ing.uchile.cl, E-mail: gpanotop@ing.uchile.cl, E-mail: alexsv@ug.uchile.cl. Thu . "Consistency relations for sharp features in the primordial spectra". United States. doi:10.1088/1475-7516/2015/10/062.
@article{osti_22525216,
title = {Consistency relations for sharp features in the primordial spectra},
author = {Mooij, Sander and Palma, Gonzalo A. and Panotopoulos, Grigoris and Soto, Alex, E-mail: sander.mooij@ing.uchile.cl, E-mail: gpalmaquilod@ing.uchile.cl, E-mail: gpanotop@ing.uchile.cl, E-mail: alexsv@ug.uchile.cl},
abstractNote = {We study the generation of sharp features in the primordial spectra within the framework of effective field theory of inflation, wherein curvature perturbations are the consequence of the dynamics of a single scalar degree of freedom. We identify two sources in the generation of features: rapid variations of the sound speed c{sub s} (at which curvature fluctuations propagate) and rapid variations of the expansion rate H during inflation. With this in mind, we propose a non-trivial relation linking these two quantities that allows us to study the generation of sharp features in realistic scenarios where features are the result of the simultaneous occurrence of these two sources. This relation depends on a single parameter with a value determined by the particular model (and its numerical input) responsible for the rapidly varying background. As a consequence, we find a one-parameter consistency relation between the shape and size of features in the bispectrum and features in the power spectrum. To substantiate this result, we discuss several examples of models for which this one-parameter relation (between c{sub s} and H) holds, including models in which features in the spectra are both sudden and resonant.},
doi = {10.1088/1475-7516/2015/10/062},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 10,
volume = 2015,
place = {United States},
year = {2015},
month = {10}
}