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An introduction to quantum gravity

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TLDR
In this paper, the authors review the classical and quantum foundations necessary to study field-theory approaches to quantum gravity, the passage from old to new unification in quantum field theory and canonical quantum gravity.
Abstract
Quantum gravity was born as that branch of modern theoretical physics that tries to unify its guiding principles, i.e., quantum mechanics and general relativity. Nowadays it is providing new insight into the unification of all fundamental interactions, while giving rise to new developments in mathematics. The various competing theories, e.g. string theory and loop quantum gravity, have still to be checked against observations. We review the classical and quantum foundations necessary to study field-theory approaches to quantum gravity, the passage from old to new unification in quantum field theory, canonical quantum gravity, the use of functional integrals, the properties of gravitational instantons, the use of spectral zeta-functions in the quantum theory of the universe, Hawking radiation, some theoretical achievements and some key experimental issues.

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Black Hole Explosions

TL;DR: In this article, it was shown that any black hole will create and emit particles such as neutrinos or photons at just the rate that one would expect if the black hole was a body with a temperature of (κ/2π) (ħ/2k) ≈ 10−6 (M/M)K where κ is the surface gravity of the body.

"relative State" Formulation of Quantum Mechanics

TL;DR: In this paper, the authors present a reformulation of quantum theory in a form believed suitable for application to general relativity, from which the conventional interpretation of quantum mechanics can be deduced.
Book ChapterDOI

Particle Creation by Black Holes

TL;DR: In this paper, 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.
Journal ArticleDOI

Cosmological constant and vacuum energy: old and new ideas

TL;DR: The cosmological constant (CC) problem as mentioned in this paper was first associated to the idea of vacuum energy density, and it is well known that there is a huge discrepancy between the theoretical prediction and the observed value picked from the modern cosmology data.
Journal ArticleDOI

The Global Approach to Quantum Field Theory

TL;DR: In this paper, the authors present The Global Approach to Quantum Field Theory (GAFT), a monograph on quantum field theory that is new, either conceptually or pedagogically.
References
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Journal ArticleDOI

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.
Journal ArticleDOI

Large Mass Hierarchy from a Small Extra Dimension

TL;DR: In this paper, the weak scale is generated from the Planck scale through an exponential hierarchy, but this exponential arises not from gauge interactions but from the background metric, which is a slice of spacetime.
Book

The Large Scale Structure of Space-Time

TL;DR: In this paper, the authors discuss the General Theory of Relativity in the large and discuss the significance of space-time curvature and the global properties of a number of exact solutions of Einstein's field equations.
Journal ArticleDOI

An Alternative to compactification

TL;DR: In this paper, a single 3-brane embedded in five dimensions was shown to reproduce four-dimensional Newtonian and general relativistic gravity to more than adequate precision, even without a gap in the Kaluza-Klein spectrum.
Journal ArticleDOI

Black hole explosions

TL;DR: In this article, it was shown that any black hole will create and emit particles such as neutrinos or photons at just the rate that one would expect if the black hole was a body with a temperature of (κ/2π) (ħ/2k) ≈ 10−6 (M/M)K where κ is the surface gravity of the body.
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