A Statistical Field Theory Approach
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Quantum Geometry by Jan Ambjorn
Book DescriptionThis 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.
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Book DetailsISBN: 9780521461672
(247mm x 174mm x 22mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 19-Jun-1997
Country of Publication: United Kingdom
Books By Author Jan Ambjorn
Quantum Geometry, Paperback (December 2005)» View all books by Jan Ambjorn
Describes random geometry and applications to strings, quantum gravity, topological field theory and membrane physics.
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