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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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Quantum fields and extended objects in space-times with constant curvature spatial section

TL;DR: In this paper, the heat-kernel expansion and ζ-regularization techniques for quantum field theory and extended objects on curved space-times are reviewed in detail, including exact solutions of the heat kernel equation, a simple exposition of hyperbolic geometry and an elementary derivation of the Selberg trace formula.
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The Quest for B Modes from Inflationary Gravitational Waves

TL;DR: In this paper, the search for the curl component (B mode) in the cosmic microwave background (CMB) polarization induced by inflationary gravitational waves is described, and issues involved in the experimental pursuit of these B modes are described.
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Temporal contribution to gravitational WKB-like calculations

TL;DR: In this paper, it has been shown that this method has a previously overlooked temporal contribution to the quasi-classical amplitude, which lies in different character of time in general relativity versus quantum mechanics, and when one takes into account this temporal contribution does one obtain the canonical temperature for the radiation.
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Entropy of static spacetimes and microscopic density of states

TL;DR: A general ansatz for gravitational entropy can be provided using the criterion that any patch of area which acts as a horizon for a suitably defined accelerated observer must have an entropy proportional to its area as discussed by the authors.
Journal ArticleDOI

Finite-size dependence of the free energy in two-dimensional critical systems

TL;DR: In this paper, it was shown that the free energy at criticality of a finite two-dimensional system of characteristic size L has in general a term which behaves like ln L as L → ∞.
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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