Quantum fluctuations and CMB anisotropies in one-bubble open inflation models

Kazuhiro Yamamoto, Misao Sasaki, Takahiro Tanaka

Research output: Contribution to journalArticle

56 Citations (Scopus)

Abstract

We first develop a method to calculate a complete set of mode functions that describe the quantum fluctuations generated in one-bubble open inflation models. We consider two classes of models. One is a single scalar field model proposed by Bucher, Goldhaber, and Turok and by us as an example of the open inflation scenario, and the other is a two-field model such as the "supernatural" inflation proposed by Linde and Mezhlumian. In both cases we assume the difference in the vacuum energy density between inside and outside the bubble is negligible. There are two kinds of mode functions. One kind has the usual continuous spectrum and the other has a discrete spectrum with characteristic wavelengths exceeding the spatial curvature scale. The latter can be further divided into two classes in terms of its origin. One is called the de Sitter supercurvature mode, which arises due to the global spacetime structure of de Sitter space, and the other is due to fluctuations of the bubble wall. We calculate the spectrum of quantum fluctuations in these models and evaluate the resulting large angular scale CMB anisotropies. We find there are ranges of model parameters that are consistent with observed CMB anisotropies.

Original languageEnglish
Pages (from-to)5031-5048
Number of pages18
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume54
Issue number8
DOIs
Publication statusPublished - Jan 1 1996

Fingerprint

bubbles
anisotropy
continuous spectra
flux density
curvature
scalars
vacuum
wavelengths

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

Quantum fluctuations and CMB anisotropies in one-bubble open inflation models. / Yamamoto, Kazuhiro; Sasaki, Misao; Tanaka, Takahiro.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 54, No. 8, 01.01.1996, p. 5031-5048.

Research output: Contribution to journalArticle

@article{9afc695bedcb4d94a5f5b93bee88876b,
title = "Quantum fluctuations and CMB anisotropies in one-bubble open inflation models",
abstract = "We first develop a method to calculate a complete set of mode functions that describe the quantum fluctuations generated in one-bubble open inflation models. We consider two classes of models. One is a single scalar field model proposed by Bucher, Goldhaber, and Turok and by us as an example of the open inflation scenario, and the other is a two-field model such as the {"}supernatural{"} inflation proposed by Linde and Mezhlumian. In both cases we assume the difference in the vacuum energy density between inside and outside the bubble is negligible. There are two kinds of mode functions. One kind has the usual continuous spectrum and the other has a discrete spectrum with characteristic wavelengths exceeding the spatial curvature scale. The latter can be further divided into two classes in terms of its origin. One is called the de Sitter supercurvature mode, which arises due to the global spacetime structure of de Sitter space, and the other is due to fluctuations of the bubble wall. We calculate the spectrum of quantum fluctuations in these models and evaluate the resulting large angular scale CMB anisotropies. We find there are ranges of model parameters that are consistent with observed CMB anisotropies.",
author = "Kazuhiro Yamamoto and Misao Sasaki and Takahiro Tanaka",
year = "1996",
month = "1",
day = "1",
doi = "10.1103/PhysRevD.54.5031",
language = "English",
volume = "54",
pages = "5031--5048",
journal = "Physical Review D - Particles, Fields, Gravitation and Cosmology",
issn = "1550-7998",
number = "8",

}

TY - JOUR

T1 - Quantum fluctuations and CMB anisotropies in one-bubble open inflation models

AU - Yamamoto, Kazuhiro

AU - Sasaki, Misao

AU - Tanaka, Takahiro

PY - 1996/1/1

Y1 - 1996/1/1

N2 - We first develop a method to calculate a complete set of mode functions that describe the quantum fluctuations generated in one-bubble open inflation models. We consider two classes of models. One is a single scalar field model proposed by Bucher, Goldhaber, and Turok and by us as an example of the open inflation scenario, and the other is a two-field model such as the "supernatural" inflation proposed by Linde and Mezhlumian. In both cases we assume the difference in the vacuum energy density between inside and outside the bubble is negligible. There are two kinds of mode functions. One kind has the usual continuous spectrum and the other has a discrete spectrum with characteristic wavelengths exceeding the spatial curvature scale. The latter can be further divided into two classes in terms of its origin. One is called the de Sitter supercurvature mode, which arises due to the global spacetime structure of de Sitter space, and the other is due to fluctuations of the bubble wall. We calculate the spectrum of quantum fluctuations in these models and evaluate the resulting large angular scale CMB anisotropies. We find there are ranges of model parameters that are consistent with observed CMB anisotropies.

AB - We first develop a method to calculate a complete set of mode functions that describe the quantum fluctuations generated in one-bubble open inflation models. We consider two classes of models. One is a single scalar field model proposed by Bucher, Goldhaber, and Turok and by us as an example of the open inflation scenario, and the other is a two-field model such as the "supernatural" inflation proposed by Linde and Mezhlumian. In both cases we assume the difference in the vacuum energy density between inside and outside the bubble is negligible. There are two kinds of mode functions. One kind has the usual continuous spectrum and the other has a discrete spectrum with characteristic wavelengths exceeding the spatial curvature scale. The latter can be further divided into two classes in terms of its origin. One is called the de Sitter supercurvature mode, which arises due to the global spacetime structure of de Sitter space, and the other is due to fluctuations of the bubble wall. We calculate the spectrum of quantum fluctuations in these models and evaluate the resulting large angular scale CMB anisotropies. We find there are ranges of model parameters that are consistent with observed CMB anisotropies.

UR - http://www.scopus.com/inward/record.url?scp=0001334655&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001334655&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.54.5031

DO - 10.1103/PhysRevD.54.5031

M3 - Article

AN - SCOPUS:0001334655

VL - 54

SP - 5031

EP - 5048

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 8

ER -