Overview

The search for a quantum theory of the gravitational field is one of the great open problems in theoretical physics. This book presents a self-contained discussion of the concepts, methods and applications that can be expected in such a theory. The two main approaches to its construction - the direct quantisation of Einstein's general theory of relativity and string theory - are covered. Whereas the first attempts to construct a viable theory for the gravitational field alone, string theory assumes that a quantum theory of gravity will be achieved only through a unification of all the interactions. However, both employ the general method of quantisation of constrained systems, which is described together with illustrative examples relevant for quantum gravity. There is a detailed presentation of the main approaches employed in quantum general relativity: path-integral quantisation, the background-field method and canonical quantum gravity in the metric, connection and loop formulations. The discussion of string theory centres around its quantum-gravitational aspects and the comparison with quantum general relativity. Physical applications discussed at length include the quantisation of black holes, quantum cosmology, the indications of a discrete structure of spacetime, and the origin of irreversibility. This book will be of interest to researchers and students working in relativity and gravitation, cosmology, quantum field theory and related topics. It will also be of interest to mathematicians and philosophers of science.

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9780198506874

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This book maintains a high level of clarity throughout, and is written with admirable patience. It will be found very useful by a begining researcher in quantum gravity who wants to have a comprehensive overview of the subject. Equally well, senior researchers in the field will find it a handy reference for standard analyses of various aspects of the subject. Gen.Realtiv.Gravi. (2006) 38(1): 183-185

Author Information

Claus Kiefer is a professor at the Institute of Theoretical Physics, University of Cologne in Germany. Since 2000 he has been chairman of the gravity section of the German Physical Society.

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