### Abstract

Base on the formalism in Stochastic gravity, we study the nonlinear quantum effect of the scalar field during inflation. We have shown as long as the slow-roll condition is satisfied, Einstein-Langevin equation, which describes the quantum correction of the scalar field to the gravitational field, can be solved iteratively. In these quantum corrections, there exist two different order parts; the leading part induces the equivalent effect to the linear analysis and the other part induces the nonlinear effect.

Original language | English |
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Title of host publication | Proceedings of the 16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006 |

Pages | 42-45 |

Number of pages | 4 |

Publication status | Published - 2006 |

Event | 16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006 - Niigata Duration: 2006 Nov 27 → 2006 Dec 1 |

### Other

Other | 16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006 |
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City | Niigata |

Period | 06/11/27 → 06/12/1 |

### Fingerprint

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Proceedings of the 16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006*(pp. 42-45)

**Cosmological perturbations in stochastic gravity.** / Urakawa, Yuko; Maeda, Keiichi.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Proceedings of the 16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006.*pp. 42-45, 16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006, Niigata, 06/11/27.

}

TY - CHAP

T1 - Cosmological perturbations in stochastic gravity

AU - Urakawa, Yuko

AU - Maeda, Keiichi

PY - 2006

Y1 - 2006

N2 - Base on the formalism in Stochastic gravity, we study the nonlinear quantum effect of the scalar field during inflation. We have shown as long as the slow-roll condition is satisfied, Einstein-Langevin equation, which describes the quantum correction of the scalar field to the gravitational field, can be solved iteratively. In these quantum corrections, there exist two different order parts; the leading part induces the equivalent effect to the linear analysis and the other part induces the nonlinear effect.

AB - Base on the formalism in Stochastic gravity, we study the nonlinear quantum effect of the scalar field during inflation. We have shown as long as the slow-roll condition is satisfied, Einstein-Langevin equation, which describes the quantum correction of the scalar field to the gravitational field, can be solved iteratively. In these quantum corrections, there exist two different order parts; the leading part induces the equivalent effect to the linear analysis and the other part induces the nonlinear effect.

UR - http://www.scopus.com/inward/record.url?scp=84887386610&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84887386610&partnerID=8YFLogxK

M3 - Chapter

SP - 42

EP - 45

BT - Proceedings of the 16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006

ER -