Canonical Quantum Gravity PDF Download
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Author | : Francesco Cianfrani |
Publisher | : World Scientific Publishing Company Incorporated |
Total Pages | : 300 |
Release | : 2014 |
Genre | : Science |
ISBN | : 9789814556644 |
Download Canonical Quantum Gravity Book in PDF, ePub and Kindle
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 | : Thomas Thiemann |
Publisher | : Cambridge University Press |
Total Pages | : 739 |
Release | : 2008-11-13 |
Genre | : Science |
ISBN | : 113946759X |
Download Modern Canonical Quantum General Relativity Book in PDF, ePub and Kindle
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 |
Total Pages | : 313 |
Release | : 2010-12-23 |
Genre | : Science |
ISBN | : 1139494139 |
Download Canonical Gravity and Applications Book in PDF, ePub and Kindle
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 |
Total Pages | : 325 |
Release | : 2014-05-21 |
Genre | : Science |
ISBN | : 9814556661 |
Download Canonical Quantum Gravity: Fundamentals And Recent Developments Book in PDF, ePub and Kindle
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 | : Abhay Ashtekar |
Publisher | : World Scientific |
Total Pages | : 356 |
Release | : 1991-07-03 |
Genre | : Science |
ISBN | : 9814571091 |
Download Lectures On Non-perturbative Canonical Gravity Book in PDF, ePub and Kindle
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 | : Jürgen Ehlers |
Publisher | : Springer |
Total Pages | : 392 |
Release | : 1994 |
Genre | : Science |
ISBN | : |
Download Canonical Gravity Book in PDF, ePub and Kindle
Author | : Steven Carlip |
Publisher | : Cambridge University Press |
Total Pages | : 296 |
Release | : 2003-12-04 |
Genre | : Science |
ISBN | : 9780521545884 |
Download Quantum Gravity in 2+1 Dimensions Book in PDF, ePub and Kindle
The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.
Author | : Claus Kiefer |
Publisher | : Oxford University Press |
Total Pages | : 406 |
Release | : 2012-04-05 |
Genre | : Mathematics |
ISBN | : 0199585202 |
Download Quantum Gravity Book in PDF, ePub and Kindle
Quantum theory and Einstein's theory of relativity are at the centre of modern theoretical physics, yet, the consistent unification of both theories is still elusive. This book offers an up-to-date introduction into the attempts to construct a unified theory of "quantum gravity".
Author | : Jürgen Ehlers |
Publisher | : Springer |
Total Pages | : 392 |
Release | : 1994 |
Genre | : Science |
ISBN | : |
Download Canonical Gravity Book in PDF, ePub and Kindle
Author | : Jürgen Ehlers |
Publisher | : Springer |
Total Pages | : 372 |
Release | : 2014-03-12 |
Genre | : Science |
ISBN | : 9783662139530 |
Download Canonical Gravity: From Classical to Quantum Book in PDF, ePub and Kindle
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.