## Quantum Fields in Curved SpaceThis book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole evaporation effect, and to particle creation processes in the early universe. The last decade has witnessed a phenomenal growth in this subject. This is the first attempt to collect and unify the vast literature that has contributed to this development. All the major technical results are presented, and the theory is developed carefully from first principles. Here is everything that students or researchers will need to embark upon calculations involving quantum effects of gravity at the so-called one-loop approximation level. |

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### Contents

Quantum field theory in curved spacetime | 34 |

Flat spacetime examples | 89 |

Curved spacetime examples I | 119 |

Stresstensor renormalization | 150 |

Applications of renormalization techniques | 225 |

Quantum black holes | 249 |

Interacting fields | 292 |

323 | |

337 | |

### Common terms and phrases

accelerated adiabatic order adiabatic vacuum amplitude asymptotic Birrell black hole Bogolubov coefficients Bogolubov transformation boundary conditions Bunch calculation Christensen collapsing computed conformal anomaly conformal transformation conformal vacuum conformally coupled conformally invariant constant coordinates cosmological curved spacetime Davies defined DeWitt-Schwinger dimensional regularization divergent terms Dowker effective action Einstein energy density evaluated event horizon example expansion expectation value factor field equation field modes finite flat spacetime flux Fock space four dimensions geometrical given gravitational field Green functions Hawking infinite integral interaction Killing vector Lagrangian density line element metric Minkowski space mirror nonzero normal null rays observer obtains particle creation particle detector Penrose diagram perturbation Phys physical Planck positive frequency quantization quantum field theory radiation region renormalization result right-hand side Rindler Robertson-Walker spacetimes scalar field Schwarzschild Sitter space solutions spin static stress-tensor subtracting surface symmetry temperature tensor thermal topology trajectory two-dimensional vacuum expectation value vanishes Wightman function yields