Quantum Geometry: A Statistical Field Theory Approach

Jan Ambjorn, Bergfinnur Durhuus, and Thordur Jonsson

ISBN 10: 0521461677 / ISBN 13: 9780521461672

Editore: Cambridge University Press, New York, NY, 1997

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First Edition (1997) so stated. Very Good+ in a Very Good DJ: The Book's binding is ever so slightly cocked but remains perfectly secure; mild shelf-rubbing to the lower extremities and milder wear to the upper; else flawless; the text is clean. Free of any creased or dog-eared pages in the text. Free of any underlining, hi-lighting or marginalia or marks in the text. Free of any ownership names, dates, addresses, notations, inscriptions, stamps, plates, or labels. A handsome copy, structurally sound and tightly bound, showing mild wear and a minor, unobtrusive imperfection. The DJ shows moderate wear along the top and bottom edges of the panels; else flawless; unclipped. Not unattractive, but shows moderate wear. NOT a Remainder, Book-Club, or Ex-Library. Small 4to (10 x 7.25 x 1 inches) . Notes, References, Index. Language: English. Weight: 29 ounces. Blue boards with gilt titles at the backstrip. Hardcover with DJ. 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. ; Cambridge Monographs on Mathematical Physics; Large 8vo 9" - 10" tall; xiv, 363 pages.

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Dati bibliografici

• Titolo: Quantum Geometry: A Statistical Field Theory Approach
• Editore: Cambridge University Press, New York, NY
• Data di pubblicazione: 1997
• Lingua: Inglese
• ISBN 10: 0521461677
• ISBN 13: 9780521461672
• Rilegatura: Hardcover
• Edizione: First Edition; First Printing.
• Condizione: Very Good+
• Condizione della sovraccoperta: Very Good

Descrizione articolo

Riassunto

Describes random geometry and applications to strings, quantum gravity, topological field theory and membrane physics.

Recensione

"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