### Abstract

The authors show that perturbative quantum field theory may break down in curved spacetime with accelerated expansion. They consider lambda phi ^{p}-theory (p=3,4,5,. . .) with curvature coupling xi R phi ^{2} in de Sitter space and perturbatively evaluate the n-point function. They find the vertex integral over all spacetime points diverges for a certain range of the mass and curvature coupling. In particular, for lambda phi ^{4} theory with xi =0, the divergence arises for m^{2}/H ^{2}<or=^{27}/_{16} where H^{-1} is the de Sitter radius. Then, they show that the same type of divergence arises quite generally in a spacetime with accelerated expansion. Since it is caused by unboundedly accelerated expansion of spacetime, they call it the superexpansionary divergence.

Original language | English |
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Article number | 003 |

Journal | Classical and Quantum Gravity |

Volume | 10 |

Issue number | 5 |

DOIs | |

Publication status | Published - Dec 1 1993 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)

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## Cite this

*Classical and Quantum Gravity*,

*10*(5), [003]. https://doi.org/10.1088/0264-9381/10/5/003