Modern physics rests on two fundamental building blocks: general relativity and quantum theory. General relativity is a geometric interpretation of gravity while quantum theory governs the microscopic behaviour of matter. Since matter is described by quantum theory which in turn couples to geometry, we need a quantum theory of gravity. In order to construct quantum gravity one must reformulate quantum theory on a background independent way. Modern Canonical Quantum General Relativity provides a complete treatise of the canonical quantisation of general relativity. The focus is on detailing the conceptual and mathematical framework, on describing physical applications and on summarising the status of this programme in its most popular incarnation, called loop quantum gravity. Mathematical concepts and their relevance to physics are provided within this book, which therefore can be read by graduate students with basic knowledge of quantum field theory or general relativity.
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Editorial Reviews
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"This book is a complete treatise on one approach, loop quantum gravity, to reformulating quantum theory in a background-independent way. It is suitable for graduate students and researchers in theoretical physics with a basic knowledge of quantum field theory and general relativity. Dr. Thiemann brings a deep level of mathematical understanding to the problem and has succeeded in solving some of the most complex problems in the area. The book is a snapshot of the theories in the field that may be leading to a greater understanding of our world.
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"I enjoyed the book very much. The reader who is not mathematically oriented may be worried by some of the parts of the book that are more formal. But Thiemann has a careful writing style in which mathematics is used only as much as needed and always after proper definitions. ... I am convinced the book will immediately become a reference on the subject of loop quantum gravity and its modern developments." - Jorge A. Pullin, Mathematical Reviews
Books-On-Line
"I enjoyed the book very much. The reader who is not mathematically oriented may be worried by some of the parts of the book that are more formal. But Thiemann has a careful writing style in which mathematics is used only as much as needed and always after proper definitions. ... I am convinced the book will immediately become a reference on the subject of loop quantum gravity and its modern developments." - Jorge A. Pullin, Mathematical Reviews
Book Description
This book provides a complete treatise of the canonical quantisation of general relativity and the loop quantum gravity theory. Mathematical concepts are provided, so it can be read by graduate students with a basic knowledge of quantum field theory or general relativity.
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9 of 11 people found the following review helpful:
4.0 out of 5 stars
Not for beginners,
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This review is from: Modern Canonical Quantum General Relativity (Cambridge Monographs on Mathematical Physics) (Hardcover)
This is an excellent technical account of the loop quantum gravity program and the current state of progress in reaching the program's goals.
However, as Theimann suggests, those starting to study the subject would be well advised to begin with Carlo Rovelli's book.
1 of 2 people found the following review helpful:
4.0 out of 5 stars
Quantum Gravity,
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This review is from: Modern Canonical Quantum General Relativity (Cambridge Monographs on Mathematical Physics) (Paperback)
I think that this book provides a consistent and rigorous approach to the rather old subject of canonically quantizing general relativity.
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master constraint, loop quantum cosmology, tetrahedron constraints, algebraic quantisation, triangulation dependence, atical definition, rigging map, coherent state calculations, quantisation programme, spatial diffeomorphism constraint, physical inner product, semianalytic curve, differentiability category, spin foam models, unphysical time, unconstrained phase space, passive diffeomorphisms, finite linear span, geometric quantisation, quantum configuration space, smooth cylindrical functions, group averaging techniques, standard model coupled, direct integral method, spatial diffeomorphism group Key Phrases - Capitalized Phrases (CAPs): (learn more)
General Relativity, The Barrett-Crane, Euclidean Hamiltonian, Yang Mills, Stone-von Neumann, Algebraic Quantum Gravity, Abelian Banach Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
master constraint, loop quantum cosmology, tetrahedron constraints, algebraic quantisation, triangulation dependence, atical definition, rigging map, coherent state calculations, quantisation programme, spatial diffeomorphism constraint, physical inner product, semianalytic curve, differentiability category, spin foam models, unphysical time, unconstrained phase space, passive diffeomorphisms, finite linear span, geometric quantisation, quantum configuration space, smooth cylindrical functions, group averaging techniques, standard model coupled, direct integral method, spatial diffeomorphism group Key Phrases - Capitalized Phrases (CAPs): (learn more)
General Relativity, The Barrett-Crane, Euclidean Hamiltonian, Yang Mills, Stone-von Neumann, Algebraic Quantum Gravity, Abelian Banach Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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