Quantum Gravity in 2+1 Dimensions

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Paperback | 5 April 2004

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292 Pages

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24.61 x 18.9 x 1.55

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This timely volume provides a broad survey of (2+1)-dimensional quantum gravity. It emphasises the 'quantum cosmology' of closed universes and the quantum mechanics of the (2+1)-dimensional black hole. It compares and contrasts a variety of approaches, and examines what they imply for a realistic theory of quantum gravity. General relativity in three spacetime dimensions has become a popular arena in which to explore the ramifications of quantum gravity. As a diffeomorphism-invariant theory of spacetime structure, this model shares many of the conceptual problems of realistic quantum gravity. But it is also simple enough that many programs of quantization can be carried out explicitly. After analysing the space of classical solutions, this book introduces some fifteen approaches to quantum gravity - from canonical quantization in York's 'extrinsic time' to Chern-Simons quantization, from the loop representation to covariant path integration to lattice methods. Relationships among quantizations are explored, as well as implications for such issues as topology change and the 'problem of time'. This book is an invaluable resource for all graduate students and researchers working in quantum gravity.

Industry Reviews

'For both experts and non-experts, this is an eminently readable and useful book.' Renate Loll, General Relativity and Gravitation

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Why (2+1)-dimensional gravity
Classical general relativity in 2+1 dimensions
A field guide to the (2+1)-dimensional spacetimes
Geometric structures and Chern-Simons theory
Canonical quantization in reduced phase space
The connection representation
Operator algebras and loops
The Wheeler-DeWitt equation
Lorentzian path integrals
Euclidian path integrals and quantum cosmology
Lattice methods
The (2+1)-dimensional black hole
Next steps
The topology of manifolds
Lorentzian metrics and causal structure
Differential geometry and fiber bundles
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

Quantum Gravity in 2+1 Dimensions

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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