Canonical Gravity From Classical To Quantum

Author : Jürgen Ehlers
Publisher : Springer
ISBN 13 : 9783662139530
Total Pages : 372 pages
Book Rating : 4.37/5 ( download)

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Download or read book Canonical Gravity: From Classical to Quantum written by Jürgen Ehlers and published by Springer. This book was released on 2014-03-12 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The search for a quantum gravity theory, a theory expected to combine the principles of general relativity and quantum theory, has led to some of the most deepest and most difficult conceptual and mathematical questions of modern physics. The present book, addressing these issues in the framework of recent versions of canonical quantization, is the first to present coherently the background for their understanding. Starting with an analysis of the structure of constrained systems and the problems of their quantization, it discusses the canonical formulation of classical relativity from different perspectives and leads to recent applications of canonical methods to create a quantum theory of gravity. The book aims to make accessible the most fundamental problems and to stimulate work in this field.

Author : Jürgen Ehlers
Publisher : Springer
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.72/5 ( download)

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Download or read book Canonical Gravity written by Jürgen Ehlers and published by Springer. This book was released on 1994 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Jürgen Ehlers
Publisher : Springer
ISBN 13 : 9783540583394
Total Pages : 367 pages
Book Rating : 4.94/5 ( download)

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Download or read book Canonical Gravity written by Jürgen Ehlers and published by Springer. This book was released on 1994-01-01 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The search for a quantum gravity theory, a theory expected to combine the principles of general relativity and quantum theory, has led to some of the most deepest and most difficult conceptual and mathematical questions of modern physics. The present book, addressing these issues in the framework of recent versions of canonical quantization, is the first to present coherently the background for their understanding. Starting with an analysis of the structure of constrained systems and the problems of their quantization, it discusses the canonical formulation of classical relativity from different perspectives and leads to recent applications of canonical methods to create a quantum theory of gravity. The book aims to make accessible the most fundamental problems and to stimulate work in this field.

Author : Abhay Ashtekar
Publisher : World Scientific
ISBN 13 : 9810205740
Total Pages : 356 pages
Book Rating : 4.44/5 ( download)

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Download or read book Lectures on Non-perturbative Canonical Gravity written by Abhay Ashtekar and published by World Scientific. This book was released on 1991 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Notes prepared in Collaboration with Ranjeet S Tate It is now generally recognized that perturbative field theoretical methods that have been highly successful in the quantum description of non-gravitational interactions cannot be used as a means of constructing a quantum theory of gravity. The primary aim of the book is to present an up- to-date account of a non-perturbative, canonical quantization program for gravity. Many of the technical results obtained in the process are of interest also to differential geometry, classical general relativity and QCD. The program as a whole was highlighted in virtually every major conference in gravitational physics over the past three years.

Author : Abhay Ashtekar
Publisher : World Scientific
ISBN 13 : 9814571091
Total Pages : 356 pages
Book Rating : 4.98/5 ( download)

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Download or read book Lectures On Non-perturbative Canonical Gravity written by Abhay Ashtekar and published by World Scientific. This book was released on 1991-07-03 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Notes prepared in Collaboration with Ranjeet S Tate It is now generally recognized that perturbative field theoretical methods that have been highly successful in the quantum description of non-gravitational interactions cannot be used as a means of constructing a quantum theory of gravity. The primary aim of the book is to present an up- to-date account of a non-perturbative, canonical quantization program for gravity. Many of the technical results obtained in the process are of interest also to differential geometry, classical general relativity and QCD. The program as a whole was highlighted in virtually every major conference in gravitational physics over the past three years.

Author : Thomas Thiemann
Publisher : Cambridge University Press
ISBN 13 : 113946759X
Total Pages : 739 pages
Book Rating : 4.99/5 ( download)

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Download or read book Modern Canonical Quantum General Relativity written by Thomas Thiemann and published by Cambridge University Press. This book was released on 2008-11-13 with total page 739 pages. 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.

Author : Martin Bojowald
Publisher : Cambridge University Press
ISBN 13 : 1139494139
Total Pages : 313 pages
Book Rating : 4.37/5 ( download)

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Download or read book Canonical Gravity and Applications written by Martin Bojowald and published by Cambridge University Press. This book was released on 2010-12-23 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Canonical methods are a powerful mathematical tool within the field of gravitational research, both theoretical and experimental, and have contributed to a number of recent developments in physics. Providing mathematical foundations as well as physical applications, this is the first systematic explanation of canonical methods in gravity. The book discusses the mathematical and geometrical notions underlying canonical tools, highlighting their applications in all aspects of gravitational research from advanced mathematical foundations to modern applications in cosmology and black hole physics. The main canonical formulations, including the Arnowitt-Deser-Misner (ADM) formalism and Ashtekar variables, are derived and discussed. Ideal for both graduate students and researchers, this book provides a link between standard introductions to general relativity and advanced expositions of black hole physics, theoretical cosmology or quantum gravity.

Author : Francesco Cianfrani
Publisher : World Scientific
ISBN 13 : 9814556661
Total Pages : 325 pages
Book Rating : 4.68/5 ( download)

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Download or read book Canonical Quantum Gravity: Fundamentals And Recent Developments written by Francesco Cianfrani and published by World Scientific. This book was released on 2014-05-21 with total page 325 pages. 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.

Author : Gianluca Calcagni
Publisher : Springer
ISBN 13 : 3319411276
Total Pages : 854 pages
Book Rating : 4.79/5 ( download)

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Download or read book Classical and Quantum Cosmology written by Gianluca Calcagni and published by Springer. This book was released on 2017-01-06 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook is devoted to classical and quantum cosmology, with particular emphasis on modern approaches to quantum gravity and string theory and on their observational imprint. It covers major challenges in theoretical physics such as the big bang and the cosmological constant problem. An extensive review of standard cosmology, the cosmic microwave background, inflation and dark energy sets the scene for the phenomenological application of all the main quantum-gravity and string-theory models of cosmology. Born of the author's teaching experience and commitment to bridging the gap between cosmologists and theoreticians working beyond the established laws of particle physics and general relativity, this is a unique text where quantum-gravity approaches and string theory are treated on an equal footing. As well as introducing cosmology to undergraduate and graduate students with its pedagogical presentation and the help of 45 solved exercises, this book, which includes an ambitious bibliography of about 3500 items, will serve as a valuable reference for lecturers and researchers.

Author : Steven Carlip
Publisher : Cambridge University Press
ISBN 13 : 9780521545884
Total Pages : 296 pages
Book Rating : 4.89/5 ( download)

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Download or read book Quantum Gravity in 2+1 Dimensions written by Steven Carlip and published by Cambridge University Press. This book was released on 2003-12-04 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.