### 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 language | English |
---|---|

Pages (from-to) | 5014-5030 |

Number of pages | 17 |

Journal | Physical Review B-Condensed Matter |

Volume | 54 |

Issue number | 8 |

Publication status | Published - Dec 1 1996 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Condensed Matter Physics

### Cite this

*Physical Review B-Condensed Matter*,

*54*(8), 5014-5030.

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

Research output: Contribution to journal › Article

*Physical Review B-Condensed Matter*, vol. 54, no. 8, pp. 5014-5030.

}

TY - JOUR

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

AU - Yamamoto, Kazuhiro

AU - Sasaki, Misao

AU - Tanaka, Takahiro

PY - 1996/12/1

Y1 - 1996/12/1

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.

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UR - http://www.scopus.com/inward/citedby.url?scp=33751162139&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33751162139

VL - 54

SP - 5014

EP - 5030

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 8

ER -