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Quantum Geometry
A Statistical Field Theory Approach
Taschenbuch von Jan Ambjorn (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Inhaltsverzeichnis
Preface; 1. Introduction; 2. Random walks; 3. Random surfaces; 4. Two-dimensional gravity; 5. Monte Carlo simulations; 6. Gravity in higher dimensions; 7. Topological quantum field theories; References; Index.
Details
Erscheinungsjahr: 2005
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521017367
ISBN-10: 052101736X
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Ambjorn, Jan
Durhuus, Bergfinnur
Jonsson, Thordur
Hersteller: Cambridge University Press
Maße: 244 x 170 x 20 mm
Von/Mit: Jan Ambjorn (u. a.)
Erscheinungsdatum: 30.04.2005
Gewicht: 0,655 kg
Artikel-ID: 102249894
Inhaltsverzeichnis
Preface; 1. Introduction; 2. Random walks; 3. Random surfaces; 4. Two-dimensional gravity; 5. Monte Carlo simulations; 6. Gravity in higher dimensions; 7. Topological quantum field theories; References; Index.
Details
Erscheinungsjahr: 2005
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521017367
ISBN-10: 052101736X
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Ambjorn, Jan
Durhuus, Bergfinnur
Jonsson, Thordur
Hersteller: Cambridge University Press
Maße: 244 x 170 x 20 mm
Von/Mit: Jan Ambjorn (u. a.)
Erscheinungsdatum: 30.04.2005
Gewicht: 0,655 kg
Artikel-ID: 102249894
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