Quantum Geometry by Thordur Jonsson
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.-
The Large Scale Structure of Space-Time
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Structures in the Universe by Exact Methods
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String Theory: Volume 2, Superstring Theory and Beyond
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String Theory
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Hamiltonian Systems
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Quantum Gravity
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Superstring Theory: Volume 2, Loop Amplitudes, Anomalies and Phenomenology
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Advanced General Relativity
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Bethe Ansatz
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Extensions of f(R) Gravity
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Methods of Contemporary Gauge Theory
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The Structure of the Proton
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Finite-Temperature Field Theory
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Moonshine beyond the Monster
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An Introduction to Regge Theory and High Energy Physics
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D-Branes
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Nonequilibrium Quantum Field Theory
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Classical Covariant Fields
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The Theory and Applications of Instanton Calculations
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Loops, Knots, Gauge Theories and Quantum Gravity
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Classical Solutions in Quantum Field Theory
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Mathematics of Quantization and Quantum Fields
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Principles of Discrete Time Mechanics
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The Scalar-Tensor Theory of Gravitation
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Quantum Groups in Two-Dimensional Physics
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Gravitational Solitons
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The Theory of Complex Angular Momenta
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Hamiltonian Mechanics of Gauge Systems
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Topological and Non-Topological Solitons in Scalar Field Theories
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Gravitational Collapse and Spacetime Singularities
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Functional Integration
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The Schwinger Action Principle and Effective Action
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Exact Solutions in Three-Dimensional Gravity
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Scattering from Black Holes
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Inflation and String Theory
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Mass Dimension One Fermions
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Non-Inertial Frames and Dirac Observables in Relativity
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Exact Space-Times in Einstein's General Relativity
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Semi-Classical Methods for Nucleus-Nucleus Scattering
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Hadrons at Finite Temperature
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Models of High Energy Processes
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Rotating Relativistic Stars
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Gauge Theories of Weak Interactions
"It was a pleasure to look through this bookIt 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
| SKU | Unavailable |
| ISBN 13 | 9780521461672 |
| ISBN 10 | 0521461677 |
| Title | Quantum Geometry |
| Author | Thordur Jonsson |
| Series | Cambridge Monographs On Mathematical Physics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Cambridge University Press |
| Year published | 1997-06-19 |
| Number of pages | 380 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |