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.
General
Imprint: |
Cambridge UniversityPress
|
Country of origin: |
United Kingdom |
Series: |
Cambridge Monographs on Mathematical Physics |
Release date: |
December 2005 |
First published: |
1997 |
Authors: |
Jan Ambjorn
• Bergfinnur Durhuus
• Thordur Jonsson
|
Dimensions: |
245 x 170 x 20mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
380 |
Edition: |
Revised |
ISBN-13: |
978-0-521-01736-7 |
Categories: |
Books >
Science & Mathematics >
Physics >
General
|
LSN: |
0-521-01736-X |
Barcode: |
9780521017367 |
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