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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Quantum Geometry: A Statistical Field Theory Approach

Quantum Geometry: A Statistical Field Theory Approach

Durhuus, Bergfinnur
Jonsson, Thordur
Ambjorn, Jan

Paperback

Series: Cambridge Monographs on Mathematical Physics

Physics

ISBN10: 052101736X
ISBN13: 9780521017367
Publisher: Cambridge University Press
Published: Dec 15 2005
Pages: 380
Weight: 1.33
Height: 0.78 Width: 6.69 Depth: 9.61
Language: English
This graduate 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 quantization 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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