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Quantum Fields in Curved Space

N. D. Birrell, +1 more
- pp 349
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TLDR
A comprehensive review of the subject of gravitational effects in quantum field theory can be found in this paper, where special emphasis is given to the Hawking black hole evaporation effect, and to particle creation processes in the early universe.
Abstract
This 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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Citations
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Dirac spinor waves and solitons in anisotropic Taub-NUT spaces

TL;DR: In this paper, a new general method of anholonomic frames with associated nonlinear connection structure was applied to construct new classes of exact solutions of Einstein-Dirac equations in five-dimensional (5D) gravity.
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Probability distributions for quantum stress tensors in four dimensions

TL;DR: In this paper, the probability distributions for quadratic quantum fields, averaged with a Lorentzian test function, were treated in four-dimensional Minkowski vacuum. But they are not able to give closed form expressions for the probability distribution, but rather use calculations of a finite number of moments to estimate the lower bounds, the asymptotic forms for large positive argument, and possible fits to the intermediate region.
Journal ArticleDOI

Fermions without vierbeins in curved space-time

H. Arthur Weldon
- 12 Apr 2001 - 
TL;DR: In this paper, a general formulation of spinor fields in Riemannian space-time is given without using vierbeins, and the Dirac equation and the energy-momentum tensor are computed from the action.
Journal ArticleDOI

Peak and end point of the relic graviton background in string cosmology

TL;DR: In this article, the authors provided an accurate estimate of the minimal experimental sensitivity required to detect a signal in the Hz to GHz range in string cosmology, and used general arguments to determine the allowed region for the end point frequency and the peak energy density of the stochastic background of gravity waves.
Journal ArticleDOI

A Distinguished Vacuum State for a Quantum Field in a Curved Spacetime: Formalism, Features, and Cosmology

TL;DR: In this paper, the authors define a distinguished ground state for a free scalar quantum field in a globally hyperbolic region of an arbitrarily curved spacetime, and show that the super-horizon correlations are approximately the same as those of a thermal state.
References
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Particle Creation by Black Holes

TL;DR: In this article, it is shown that quantum mechanical effects cause black holes to create and emit particles as if they were hot bodies with temperature, which leads to a slow decrease in the mass of the black hole and to its eventual disappearance.
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Propagateurs et commutateurs en relativité générale

TL;DR: In this paper, the authors present conditions générales d'utilisation (http://www.numdam.org/conditions), i.e., Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
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Foundations of the Theory of Dynamical Systems of Infinitely Many Degrees of Freedom, II

TL;DR: The notion of quantum field remains at this time still rather elusive from a rigorous standpoint as mentioned in this paper, and it was recognized very early by Bohr and Rosenfeld that even in the case of a free field, no physical meaning could be attached to the values of the field at a particular point, only the suitably smoothed averages over finite space-time regions had such a meaning.
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Evidence for the existence of gravitational radiation from measurements of the binary pulsar psr 1913+16

TL;DR: The results of four years of timing observations of PSR 1913+16 made with the 305m telescope at the Arecibo Observatory at frequencies near 430 and 1410 MHz are summarized in this paper.
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