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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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Tunneling in a time-dependent setting.

TL;DR: An algorithm is presented, based on the WKB approximation combined with complex time path methods, which can be used to calculate the relevant tunneling probabilities in a collection of time-dependent tunneling problems to which the standard methods cannot be applied directly.
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Cosmological quantum entanglement

TL;DR: In this paper, the authors discuss the role played by quantum fluctuations in the early universe in nucleating the formation of galaxies and other cosmic structures through their conversion into classical density anisotropies during and after inflation and discuss the importance of entanglement and decoherence in this process.
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Sustainable entanglement production from a quantum field

TL;DR: In this article, the authors proposed a method to extract entanglement from a quantum field by successively sending pairs of unentangled particles through an optical cavity, such that each pair of particles sent through the cavity will reliably emerge significantly entangled.
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On the interaction of the Dirac oscillator with the Aharonov-Casher system in topological defect backgrounds

TL;DR: In this article, the influence of the Aharonov-Casher effect on the Dirac oscillator in three different scenarios of general relativity: the Minkowski spacetime, the cosmic string spacetime and the cosmic dislocation spacetime.
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Probing the f(R) formalism through gravitational wave polarizations

TL;DR: In this paper, the authors used the Newman-Penrose formalism to characterize GWs in quadratic gravity and in a particular class of f ( R ) Lagrangians.
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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