Canonical Quantum Gravity: Fundamentals and Recent Developments

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9789814556644: Canonical Quantum Gravity: Fundamentals and Recent Developments
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This book aims to present a pedagogical and self-consistent treatment of the canonical approach to Quantum Gravity, starting from its original formulation to the most recent developments in the field.We start with a rapid and original introduction to the formalism and concepts on which General Relativity has been built up, giving all the information necessary in the later analysis. The Lagrangian approach to the Einsteinian Theory is then presented in some detail, underlining the parallelism with non-Abelian gauge theories. Then the basic concepts of the canonical approach to Quantum Mechanics are provided, focusing on all those formulations which are relevant for the Canonical Quantum Gravity problem. The Hamiltonian formulation of General Relativity and its constrained structure is then analyzed by comparing different formulations and the resulting quantum dynamics, described by the Wheeler–DeWitt equation, is fully discussed in order to outline its merits and limits. Then, the reformulation of the Canonical Quantum Gravity in terms of the Ashtekar–Barbero–Immirzi variable is faced, by a detailed and complete discussion of the resulting Loop Quantum Gravity Theory. Finally, we provide a consistent picture of canonical Quantum Cosmology, by facing the main features of the Wheeler–De Witt equation for the homogeneous Bianchi models and then by a detailed treatment of Loop Quantum Cosmology, including very recent developments.

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Francesco Cianfrani; Orchidea Maria Lecian; Matteo Lulli
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Book Description World Scientific Publishing Co Pte Ltd, Singapore, 2014. Hardback. Condition: New. Language: English. Brand new Book. This book aims to present a pedagogical and self-consistent treatment of the canonical approach to Quantum Gravity, starting from its original formulation to the most recent developments in the field.We start with an innovative and enlightening introduction to the formalism and concepts on which General Relativity has been built, giving all the information necessary in the later analysis. A brief sketch of the Standard Cosmological Model describing the Universe evolution is also given alongside the analysis of the inflationary mechanism. After deepening the fundamental properties of constrained dynamic systems, the Lagrangian approach to the Einsteinian Theory is presented in some detail, underlining the parallelism with non-Abelian gauge theories. Then, the basic concepts of the canonical approach to Quantum Mechanics are provided, focusing on all those formulations which are relevant for the Canonical Quantum Gravity problem. The Hamiltonian formulation of General Relativity and its constrained structure is then analyzed by comparing different formulations. The resulting quantum dynamics, described by the Wheeler-DeWitt equation, is fully discussed in order to outline its merits and limits. Afterwards, the reformulation of Canonical Quantum Gravity in terms of the Ashtekar-Barbero-Immirzi variables is faced by a detailed discussion of the resulting Loop Quantum Gravity Theory. Finally, we provide a consistent picture of canonical Quantum Cosmology by facing the main features of the Wheeler-DeWitt equation for the homogeneous Bianchi models and then by a detailed treatment of Loop Quantum Cosmology, including very recent developments. Seller Inventory # AAC9789814556644

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Giovanni Montani, Francesco Cianfrani, Orchidea Maria Lecian
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Book Description World Scientific Publishing Co Pte Ltd, Singapore, 2014. Hardback. Condition: New. Language: English. Brand new Book. This book aims to present a pedagogical and self-consistent treatment of the canonical approach to Quantum Gravity, starting from its original formulation to the most recent developments in the field.We start with an innovative and enlightening introduction to the formalism and concepts on which General Relativity has been built, giving all the information necessary in the later analysis. A brief sketch of the Standard Cosmological Model describing the Universe evolution is also given alongside the analysis of the inflationary mechanism. After deepening the fundamental properties of constrained dynamic systems, the Lagrangian approach to the Einsteinian Theory is presented in some detail, underlining the parallelism with non-Abelian gauge theories. Then, the basic concepts of the canonical approach to Quantum Mechanics are provided, focusing on all those formulations which are relevant for the Canonical Quantum Gravity problem. The Hamiltonian formulation of General Relativity and its constrained structure is then analyzed by comparing different formulations. The resulting quantum dynamics, described by the Wheeler-DeWitt equation, is fully discussed in order to outline its merits and limits. Afterwards, the reformulation of Canonical Quantum Gravity in terms of the Ashtekar-Barbero-Immirzi variables is faced by a detailed discussion of the resulting Loop Quantum Gravity Theory. Finally, we provide a consistent picture of canonical Quantum Cosmology by facing the main features of the Wheeler-DeWitt equation for the homogeneous Bianchi models and then by a detailed treatment of Loop Quantum Cosmology, including very recent developments. Seller Inventory # AAC9789814556644

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Book Description World Scientific Publishing Co Pte Ltd. Hardback. Condition: new. BRAND NEW, Canonical Quantum Gravity: Fundamentals and Recent Developments, Francesco Cianfrani, Orchidea Maria Lecian, Matteo Lulli, This book aims to present a pedagogical and self-consistent treatment of the canonical approach to Quantum Gravity, starting from its original formulation to the most recent developments in the field. We start with a rapid and original introduction to the formalism and concepts on which General Relativity has been built up, giving all the information necessary in the later analysis. The Lagrangian approach to the Einsteinian Theory is then presented in some detail, underlining the parallelism with non-Abelian gauge theories. Then the basic concepts of the canonical approach to Quantum Mechanics are provided, focusing on all those formulations which are relevant for the Canonical Quantum Gravity problem. The Hamiltonian formulation of General Relativity and its constrained structure is then analyzed by comparing different formulations and the resulting quantum dynamics, described by the Wheeler - DeWitt equation, is fully discussed in order to outline its merits and limits. Then, the reformulation of the Canonical Quantum Gravity in terms of the Ashtekar - Barbero - Immirzi variable is faced, by a detailed and complete discussion of the resulting Loop Quantum Gravity Theory. Finally, we provide a consistent picture of canonical Quantum Cosmology, by facing the main features of the Wheeler - De Witt equation for the homogeneous Bianchi models and then by a detailed treatment of Loop Quantum Cosmology, including very recent developments. Seller Inventory # B9789814556644

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Book Description Hardcover. Condition: New. Hardcover. This book aims to present a pedagogical and self-consistent treatment of the canonical approach to Quantum Gravity, starting from its original formulation to the most recent developments i.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 324 pages. 0.590. Seller Inventory # 9789814556644

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