Research Catalog

Title

Modern canonical quantum general relativity / Thomas Thiemann.

Author

Thiemann, Thomas

Publication

Cambridge : Cambridge University Press, 2007.

Items in the Library & Off-site

Details

Description

xxvi, 819 pages : illustrations; 26 cm.

Summary

"This book provides a complete treatise of the canonical quantization of general relativity. The focus is on detailing the conceptual and mathematical-framework, describing the physical applications; and summarizing the status of this program in its most popular incarnation: Joop quantum gravity. Mathematical concepts and their relevance to physics are provided within this book, so it is suitable for graduate-students and researchers with a basic knowledge of quantum field theory and general relativity."--Jacket.

Series Statement

Cambridge monographs on mathematical physics

Uniform Title

Cambridge monographs on mathematical physics.

Subject

• Quantum theory
• General relativity (Physics)
• Théorie quantique
• Relativité générale (Physique)
• Quantum theory

Bibliography (note)

• Includes bibliographical references and index.

Processing Action (note)

• committed to retain

Contents

Defining quantum gravity -- Classical Hamiltonian formulation of general relativity -- The problem of time, locality, and the interpretation of quantum mechanics -- The programme of canonical quantisation -- The new canonical variables of Ashtekar for general relativity -- Foundations of modern canonical quantum general relativity --Step I : the holonomy-flux algebra -- Step II : quantum algebra -- Step III : representation theory -- Step IV : (1) implementation and solution of the kinematical constraints -- Step IV (2) : impelementation and solution of the Hamiltonian constraint -- Step V : semiclassical analysis -- Physical applications -- Extension to standard matter -- Kinematical geometrical operators -- Spin foam models -- Quantum black hole physics -- Applications to particle physics and quantum cosmology -- Loop quantum gravity phenomenology -- Mathematical tools and their connection to physics -- Tools from general topology -- Differential, Riemannian, symplectic, and complex geometry -- Semianalytic category -- Elements of fibre bundle theory -- Holonomies on non-trivial fibre bundles -- Geometric quantisation -- The Dirac algorithm for field theories with constraints -- Tools from measure theory -- Key results from functional analysis -- Elementary introduction to Gel'fand theory for Abelian C*-algebras -- Bohr compactification of the real line -- Operator *-algebras and spectral theorem -- Refined algebraic quantisation (RAQ) and direct integral decomposition (DID) -- Basics of harmonic analysis on compact Lie groups -- Spin-network functions for SU (2) -- + Functional analytic description of classical connection dynamics.

ISBN

• 9780521842631
• 0521842638
• 9780511755682
• 0511755686

LCCN

2008271330

OCLC

• 148833754
• SCSB-9927111

Owning Institutions

Harvard Library