## 抄録

The tunneling wave function of the Universe is calculated exactly for a de Sitter minisuperspace model with a massless conformally coupled scalar field, both by solving the Wheeler-DeWitt equation and by evaluating the Lorentzian path integral. The same wave function is found in both approaches. The backreaction of quantum field fluctuations on the scale factor amounts to a constant renormalization of the vacuum energy density. This is in contrast to the recent suggestion of Feldbrugge et al. that the backreaction should diverge when the scale factor gets small, a→0. Similar results are found for a massive scalar field in the limit of a large mass. We also verified that the tunneling wave function can be expressed as a transition amplitude from a universe of vanishing size with the scalar field in the state of Euclidean vacuum, as was suggested in our earlier work.

本文言語 | English |
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論文番号 | 066010 |

ジャーナル | Physical Review D |

巻 | 99 |

号 | 6 |

DOI | |

出版ステータス | Published - 2019 3月 15 |

外部発表 | はい |

## ASJC Scopus subject areas

- 物理学および天文学（その他）