### Аннотация

Abstract: The explicit expressions for the one-loop non-perturbative corrections to the gravitational effective action induced by a scalar field on a stationary gravitational background are obtained both at zero and finite temperatures. The perturbative and non-perturbative contributions to the one-loop effective action are explicitly separated. It is proved that, after a suitable renormalization, the perturbative part of the effective action at zero temperature can be expressed in a covariant form solely in terms of the metric and its derivatives. This part coincides with the known large mass expansion of the one-loop effective action. The non-perturbative part of the renormalized one-loop effective action at zero temperature is proved to depend explicitly on the Killing vector defining the vacuum state of quantum fields. This part cannot be expressed in a covariant way through the metric and its derivatives alone. The implications of this result for the structure and symmetries of the effective action for gravity are discussed.

Язык оригинала | Английский |
---|---|

Номер статьи | 111 |

Журнал | Journal of High Energy Physics |

Том | 2014 |

Номер выпуска | 8 |

DOI | |

Состояние | Опубликовано - 2014 |

Опубликовано для внешнего пользования | Да |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

## Fingerprint Подробные сведения о темах исследования «Non-perturbative corrections to the one-loop free energy induced by a massive scalar field on a stationary slowly varying in space gravitational background». Вместе они формируют уникальный семантический отпечаток (fingerprint).

## Цитировать

*Journal of High Energy Physics*,

*2014*(8), [111]. https://doi.org/10.1007/JHEP08(2014)111