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Modern Canonical Quantum General Relativity

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Release : 2008-11-13
Genre : Science
Kind : eBook
Book Rating : 59X/5 ( reviews)

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Book Synopsis Modern Canonical Quantum General Relativity by : Thomas Thiemann

Download or read book Modern Canonical Quantum General Relativity written by Thomas Thiemann. This book was released on 2008-11-13. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Modern Canonical Quantum General Relativity

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Release : 2001
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Kind : eBook
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Book Synopsis Introduction to Modern Canonical Quantum General Relativity by : Thomas Thiemann

Download or read book Introduction to Modern Canonical Quantum General Relativity written by Thomas Thiemann. This book was released on 2001. Available in PDF, EPUB and Kindle. Book excerpt:

Canonical Quantum Gravity: Fundamentals And Recent Developments

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Release : 2014-05-21
Genre : Science
Kind : eBook
Book Rating : 661/5 ( reviews)

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Book Synopsis Canonical Quantum Gravity: Fundamentals And Recent Developments by : Francesco Cianfrani

Download or read book Canonical Quantum Gravity: Fundamentals And Recent Developments written by Francesco Cianfrani. This book was released on 2014-05-21. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Gravity

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Release : 2012-04-05
Genre : Science
Kind : eBook
Book Rating : 859/5 ( reviews)

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Book Synopsis Quantum Gravity by : Claus Kiefer

Download or read book Quantum Gravity written by Claus Kiefer. This book was released on 2012-04-05. Available in PDF, EPUB and Kindle. Book excerpt: The search for a quantum theory of the gravitational field is one of the great open problems in theoretical physics. This book presents a self-contained discussion of the concepts, methods and applications that can be expected in such a theory. The two main approaches to its construction — the direct quantisation of Einstein's general theory of relativity and string theory — are covered. Whereas the first attempts to construct a viable theory for the gravitational field alone, string theory assumes that a quantum theory of gravity will be achieved only through a unification of all the interactions. However, both employ the general method of quantization of constrained systems, which is described together with illustrative examples relevant for quantum gravity. There is a detailed presentation of the main approaches employed in quantum general relativity: path-integral quantization, the background-field method and canonical quantum gravity in the metric, connection and loop formulations. The discussion of string theory centres around its quantum-gravitational aspects and the comparison with quantum general relativity. Physical applications discussed at length include the quantization of black holes, quantum cosmology, the indications of a discrete structure of spacetime, and the origin of irreversibility. This third edition contains new chapters or sections on quantum gravity phenomenology, Horava-Lifshitz quantum gravity, analogue gravity, the holographic principle, and affine quantum gravity. It will present updates on loop quantum cosmology, the LTB model, asymptotic safety, and various discrete approaches. The third edition also contains pedagogical extensions throughout the text. This book will be of interest to researchers and students working in relativity and gravitation, cosmology, quantum field theory and related topics. It will also be of interest to mathematicians and philosophers of science.

General Relativity

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Release : 2019-01-17
Genre : Science
Kind : eBook
Book Rating : 340/5 ( reviews)

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Book Synopsis General Relativity by : Steven Carlip

Download or read book General Relativity written by Steven Carlip. This book was released on 2019-01-17. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's general theory of relativity — currently our best theory of gravity — is important not only to specialists, but to a much wider group of physicists. This short textbook on general relativity and gravitation offers students glimpses of the vast landscape of science connected to general relativity. It incorporates some of the latest research in the field. The book is aimed at readers with a broad range of interests in physics, from cosmology, to gravitational radiation, to high energy physics, to condensed matter theory. The pedagogical approach is "physics first": readers move very quickly to the calculation of observational predictions, and only return to the mathematical foundations after the physics is established. In addition to the "standard" topics covered by most introductory textbooks, it contains short introductions to more advanced topics: for instance, why field equations are second order, how to treat gravitational energy, and what is required for a Hamiltonian formulation of general relativity. A concluding chapter discusses directions for further study, from mathematical relativity, to experimental tests, to quantum gravity. This is an introductory text, but it has also been written as a jumping-off point for readers who plan to study more specialized topics.

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