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Title: Generalized slow roll in the unified effective field theory of inflation

Abstract

In this paper, we provide a compact and unified treatment of power spectrum observables for the effective field theory (EFT) of inflation with the complete set of operators that lead to second-order equations of motion in metric perturbations in both space and time derivatives, including Horndeski and GLPV theories. We relate the EFT operators in ADM form to the four additional free functions of time in the scalar and tensor equations. Using the generalized slow roll formalism, we show that each power spectrum can be described by an integral over a single source that is a function of its respective sound horizon. With this correspondence, existing model independent constraints on the source function can be simply reinterpreted in the more general inflationary context. By expanding these sources around an optimized freeze-out epoch, we also provide characterizations of these spectra in terms of five slow-roll hierarchies whose leading order forms are compact and accurate as long as EFT coefficients vary only on timescales greater than an e-fold. Finally, we also clarify the relationship between the unitary gauge observables employed in the EFT and the comoving gauge observables of the post-inflationary universe.

Authors:
 [1];  [2]
+ Show Author Affiliations
  1. Universidad de Valencia-CSIC (Spain). Instituto de Física Corpuscular (IFIC)
  2. Univ. of Chicago, IL (United States). Kavli Inst. for Cosmological Physics and Dept. of Astronomy and Astrophysics
Publication Date:
Research Org.:
Univ. of Chicago, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Ministry of Economic Affairs and Digital Transformation of Spain (MINECO); National Aeronautics and Space Administration (NASA)
OSTI Identifier:
1595705
Alternate Identifier(s):
OSTI ID: 1368623
Grant/Contract Number:  
SC0009924; FG02-13ER41958; PHY-0114422; PHY-0551142; SEV-2014-0398; II/2014/050; FPA2014-57816-P; 690575; 674896; ATP NNX15AK22G; PHY-1066293
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 2; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; Inflation

Citation Formats

Motohashi, Hayato, and Hu, Wayne. Generalized slow roll in the unified effective field theory of inflation. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.96.023502.
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Motohashi, Hayato, & Hu, Wayne. Generalized slow roll in the unified effective field theory of inflation. United States. https://doi.org/10.1103/PhysRevD.96.023502
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Motohashi, Hayato, and Hu, Wayne. Thu . "Generalized slow roll in the unified effective field theory of inflation". United States. https://doi.org/10.1103/PhysRevD.96.023502. https://www.osti.gov/servlets/purl/1595705.
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@article{osti_1595705,
title = {Generalized slow roll in the unified effective field theory of inflation},
author = {Motohashi, Hayato and Hu, Wayne},
abstractNote = {In this paper, we provide a compact and unified treatment of power spectrum observables for the effective field theory (EFT) of inflation with the complete set of operators that lead to second-order equations of motion in metric perturbations in both space and time derivatives, including Horndeski and GLPV theories. We relate the EFT operators in ADM form to the four additional free functions of time in the scalar and tensor equations. Using the generalized slow roll formalism, we show that each power spectrum can be described by an integral over a single source that is a function of its respective sound horizon. With this correspondence, existing model independent constraints on the source function can be simply reinterpreted in the more general inflationary context. By expanding these sources around an optimized freeze-out epoch, we also provide characterizations of these spectra in terms of five slow-roll hierarchies whose leading order forms are compact and accurate as long as EFT coefficients vary only on timescales greater than an e-fold. Finally, we also clarify the relationship between the unitary gauge observables employed in the EFT and the comoving gauge observables of the post-inflationary universe.},
doi = {10.1103/PhysRevD.96.023502},
journal = {Physical Review D},
number = 2,
volume = 96,
place = {United States},
year = {Thu Jul 06 00:00:00 EDT 2017},
month = {Thu Jul 06 00:00:00 EDT 2017}
}
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https://doi.org/10.1103/PhysRevD.96.023502
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Cited by: 26 works
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    Works referencing / citing this record:

    Constant-roll inflation in scalar-tensor gravity
    journal, November 2019

    • Motohashi, Hayato; Starobinsky, Alexei A.
    • Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 11
    • DOI: 10.1088/1475-7516/2019/11/025

    Weakly-coupled stealth solution in scordatura degenerate theory
    journal, January 2020

    Inflationary perturbation spectra at next-to-leading slow-roll order in effective field theory of inflation
    journal, November 2019

    Primordial Black Holes and Slow-Roll Violation
    text, January 2017

    Inflationary Features and Shifts in Cosmological Parameters from Planck 2015 Data
    text, January 2017

    Frame-dependence of higher-order inflationary observables in scalar-tensor theories
    text, January 2017

    Constant-roll inflation in scalar-tensor gravity
    text, January 2019

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