Quantum Geometry: A Statistical Field Theory Approach
(Part of the Cambridge Monographs on Mathematical Physics Series)
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Book Overview
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.
Format:Paperback
Language:English
ISBN:052101736X
ISBN13:9780521017367
Release Date:December 2005
Publisher:Cambridge University Press
Length:380 Pages
Weight:1.33 lbs.
Dimensions:0.8" x 6.7" x 9.6"
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