Quantum Geometry

A Statistical Field Theory Approach

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Hardcover | 18 August 1997

At a Glance

Hardcover
380 Pages

Dimensions(cm)
25.4 x 17.78 x 2.24

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This graduate/research level text describes in a unified fashion the statistical mechanics of random walks, random surfaces and random higher dimensional manifolds with an emphasis on the geometrical aspects of the theory and applications to the quantisation of strings, gravity and topological field theory. With chapters on random walks, random surfaces, two- and higher dimensional quantum gravity, topological quantum field theories and Monte Carlo simulations of random geometries, the text provides a self-contained account of quantum geometry from a statistical field theory point of view. The approach uses discrete approximations and develops analytical and numerical tools. Continuum physics is recovered through scaling limits at phase transition points and the relation to conformal quantum field theories coupled to quantum gravity is described. The most important numerical work is covered, but the main aim is to develop mathematically precise results that have wide applications. Many diagrams and references are included.

Industry Reviews

"It was a pleasure to look through this book. It is apparent that every effort was made to write a complete advanced text on the current status of triangulations in quantum gravity. This book is a must for anyone in this field." E. J. Janse van Rensburg, Mathematical Reviews

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You Can Find This Book In

Non-Fiction Science Physics Quantum Physics & Quantum Mechanics & Quantum Field Theory Classical Mathematics Wave Mechanics including Vibration & Acoustics

Preface
Notation
Introduction	p. 1
Random walks	p. 11
Random surfaces	p. 66
Two-dimensional gravity	p. 149
Monte Carlo simulations of random geometry	p. 251
Gravity in higher dimensions	p. 271
Topological quantum field theories	p. 297
References	p. 339
Index	p. 359
Table of Contents provided by Blackwell. All Rights Reserved.

Quantum Geometry

A Statistical Field Theory Approach

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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