Superhorizon curvature perturbation in ultraslow-roll inflation

Shu-Lin Cheng, Wolung Lee, and Kin-Wang Ng
Phys. Rev. D 99, 063524 – Published 22 March 2019

Abstract

We study the growth of superhorizon modes in the curvature perturbation during an ultraslow-roll or a largeη phase in single-field inflation. In a simple toy model, we derive the two-point correlation function of the curvature perturbation and show that the requirement for causality restricts the growth rate and hence puts a lower limit on the value of η. The toy model is then realized by considering an inflation potential with an inflection point. Our study is useful to assessing the growth of the curvature perturbation that seeds the formation of primordial black holes.

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  • Received 26 November 2018

DOI:https://doi.org/10.1103/PhysRevD.99.063524

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Shu-Lin Cheng1, Wolung Lee1, and Kin-Wang Ng2,3

  • 1Department of Physics, National Taiwan Normal University, Taipei 11677, Taiwan
  • 2Institute of Physics, Academia Sinica, Taipei 11529, Taiwan
  • 3Institute of Astronomy and Astrophysics, Academia Sinica, Taipei 11529, Taiwan

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Issue

Vol. 99, Iss. 6 — 15 March 2019

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