## Abstract

Extending the coarse-graining approach of Starobinsky, we formulate a theory to deal with the dynamics of a scalar field in inflationary universe models. We find a set of classical Langevin equations which describes the large-scale behavior of the scalar field. The corresponding Fokker-Planck equation is also derived which is defined on the phase space of the scalar field. We show that our theory is essentially equivalent to the one-loop field theory in de Sitter space and reduces to that of Starobinsky in a strong limit of the slow roll-over condition. Analysis of a simple Higgs-potential model is done and the implications are discussed.

Original language | English |
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Pages (from-to) | 868-884 |

Number of pages | 17 |

Journal | Nuclear Physics, Section B |

Volume | 308 |

Issue number | 4 |

DOIs | |

Publication status | Published - Oct 24 1988 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics