This book is about only one approach to the subject - loop quantum gravity. It is a subject of considerable technical difficulty, and the literature devoted to it is a formidable one. This feature alone has hindered the cross-fertilization which is, as delineated above, so essential for progress. However, within these pages one will find a much more accessible description of the subject, put forward by one of its leading architects and deepest thinkers. The existence of such a fine book will allow this important subject, quite likely to contribute significantly to the unknown ultimate theory, to be assimilated by a much larger community of the-orists. If this does indeed come to pass, its publication will become one of the most important developments in this very active subfield since its onset.
Foreword, by James Bjorken . Preface Acknowledgements Terminology and notation Part Ⅰ Relativistic foundations 1 General ideas and heuristic picture 1.1 The problem of quantum gravity 1.2 Loop quantum gravity 1.3 Conceptual issues 2 General Relativity 2.1 Formalism 2.2 The conceptual path to the theory 2.3 Interpretation 2.4 Complements 3 Mechanics 3.1 Nonrelativistic mechanics: mechanics is about time evolution 3.2 Relativistic mechanics 3.3 Field theory 3.4 Thermal time hypothesis 4 Hamiltonian general relativity 4.1 Einstein-Hamilton-Jacobi 4.2 Euclidean GR and real connection 4.3 Hamiltonian GR 5 Quantum mechanics 5.1 Nonrelativistic QM 5.2 Relativistic QM 5.3 Quantum field theory 5.4 Quantum gravity 5.5 Complements 5.6 Relational interpretation of quantum theoryPart Ⅱ Loop quantum gravity 6 Quantum space 7 Dynamics and matter 8 Applications 9 Quantum spacetime: spinfoams 10 ConclusionPart Ⅲ AppendicesAppendxi A Groups and recoupling theoryReferenceIndex
《量子引力》由世界圖書出版公司出版。Quantum gravity poses the problem of merging quantum mechanics and general relativity, the two great conceptual revolutions in the physics of the twentieth century. The loop and spinfoam approach, presented in this book, is one of the leading research programs in the field. The first part of the book discusses the reformulation of the basis of classical and quantum Hamiltonian physics required by general relativity. The second part covers the basic technical research directions. Appendices include a detailed history of the subject of quantum gravity, hard-to-find mathematical material, and a discussion of some philosophical issues raised by the subject. This fascinating text is ideal for graduate students entering the field, as well as researchers already working in quantum gravity. It will also appeal to philosophers and other scholars interested in the nature of space and time.
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