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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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Cosmological constraints on f(R) gravity theories within the Palatini approach

TL;DR: In this paper, the authors investigate f(R) theories of gravity within the Palatini approach and show how one can determine the expansion history, H(a), for an arbitrary choice of f (R).
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Quantum physics of simple optical instruments

TL;DR: In this paper, the quantum theory of simple optical instruments is developed and applied to a few characteristic situations, such as splitting and interference of photons and the manifestation of Einstein-Podolsky-Rosen correlations in parametric downconversion.
Journal ArticleDOI

On one-loop renormalization of black-hole entropy

TL;DR: In this article, it was shown that due to the higher order curvature terms, the entropy of a quantum black hole differs from the Bekenstein-Hawking one in the Einstein gravity by contributions depending on the internal and external geometry of the horizon surface.
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Optimal quantum estimation of the Unruh-Hawking effect.

TL;DR: It is proved that a field in a Fock inertial state, probed via photon counting by a noninertial detector, realizes the optimal strategy attaining the ultimate sensitivity allowed by quantum mechanics for the observation of the Unruh-Hawking effect.
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Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?

TL;DR: In this paper, the first direct observation of negative-frequency waves converted from positive-frequency wave in a moving medium is reported, and the measured degree of mode conversion is significantly higher than expected from theory.
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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