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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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Some general bounds for one-dimensional scattering

TL;DR: In this article, the authors established general bounds for reflection and transmission coefficients for one-dimensional potential scattering, and showed that sharp step function potentials always scatter more effectively than the corresponding smoothed potentials.
Journal ArticleDOI

Back reaction in semiclassical gravity: The Einstein-Langevin equation.

TL;DR: This approach based on statistical field theory extends the conventional theory of semiclassical gravity based on a semiclassicals Einstein equation with a source given by the average value of the energy-momentum tensor, thus making it possible to probe into the statistical properties of quantum fields such as noise, fluctuations, entropy, decoherence, and dissipation.
Posted Content

Scaling behavior of the cosmological constant: Interface between quantum field theory and cosmology

Ilya L. Shapiro, +1 more
TL;DR: In this paper, the particle contributions to the running of the cosmological and gravitational constants in the framework of the Standard Model in curved space-time are derived, in two different frameworks, whether the scaling dependences of these constants spoil primordial nucleosynthesis.
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Problems with the Newton-Schrödinger equations

TL;DR: In this paper, the origin and consequences of the Newton-Schrodinger equations (NSEs) for individual particles are examined. But the NSEs are not the weak-field (WF), non-relativistic (NR) limit of the semi-classical Einstein equation (SCE) based on GR+QFT.
Journal ArticleDOI

Trembling cavities in the canonical approach

TL;DR: In this article, a canonical formalism facilitating investigations of the dynamical Casimir effect by means of a response theory approach is presented, where the authors consider a massless scalar field confined inside of an arbitrary domain, which undergoes small displacements for a certain period of time.
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.
Journal ArticleDOI

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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