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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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Massless minimally coupled fields in de Sitter space: O(4)-symmetric states versus de Sitter–invariant vacuum

TL;DR: The issue of de Sitter invariance for a massless minimally coupled scalar field is examined and the Hadamard formalism is used to compute the renormalized expectation value of the energy-momentum tensor in the O(4)-invariant case.
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Comments on Cosmological Singularities in String Theory

TL;DR: In this article, the authors compute string scattering amplitudes in an orbifold of Minkowski space by a boost, and show how certain divergences in the four point function are associated with graviton exchange near the singularity.
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A DeWitt expansion of the heat kernel for manifolds with a boundary

TL;DR: In this article, the DeWitt expansion of the heat kernel GDelta (x, x'; tau ), for a second order elliptic differential operator Delta is extended to manifolds with a boundary.
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Quantum gravity at a TeV and the renormalization of Newton's constant

TL;DR: In this paper, the authors examine whether renormalization effects can cause Newton's constant to change dramatically with energy, perhaps even reducing the scale of quantum gravity to the TeV region without the introduction of extra dimensions.
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Nonequilibrium evolution of scalar fields in FRW cosmologies.

TL;DR: It is found that a suitably defined nonequilibrium entropy per mode increases linearly with comoving time in a de Sitter cosmology, whereas it is [ital not] a monotonically increasing function in the radiation-dominated case.
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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