Book

Quantum Gravity

Claus Kiefer

Second edition

Published in print February 2007 | ISBN: 9780199212521
Published online January 2010 | e-ISBN: 9780191707377 | DOI: https://dx.doi.org/10.1093/acprof:oso/9780199212521.001.0001

Series: International Series of Monographs on Physics

Quantum Gravity

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This book is concerned with the attempts to unify Einstein's theory of general relativity and quantum theory into a theory of quantum gravity. Among the approaches include canonical quantum gravity (including loop quantum gravity), covariant quantum gravity, and string theory. The book also discusses the relevance of these theories for cosmology and the physics of black holes. Chapter 1 gives a general introduction into the problem of quantizing the gravitational field. Chapter 2 then presents the main covariant approaches — perturbation theory and Feynman diagrammes, path integrals, and supergravity. Chapter 3 discusses, for simpler systems, the important concept of reparametrization invariance which plays a crucial role in the Hamiltonian formulation of general relativity discussed thereafter. Chapter 5 presents the canonical quantization in the metric variables, leading to the central Wheeler-DeWitt equation, while Chapter 6 presents loop quantum gravity. The next two chapters then discuss the major applications — quantization of black holes and quantum cosmology. Chapter 9 gives an introduction to string theory by focusing on its quantum gravitational aspects. The book concludes with a discussion of the relevance of quantum gravity for the interpretation of quantum theory.

Keywords: quantum gravity; string theory; loop quantum gravity; Wheeler-DeWitt equation; quantum cosmology; black holes

Book.  376 pages.  Illustrated.

Subjects: Mathematical and Statistical Physics

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Table of Contents

Why Quantum Gravity? in Quantum Gravity

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Quantum Cosmology in Quantum Gravity

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String Theory in Quantum Gravity

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