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Canonical Quantum Gravity: Fundamentals And Recent Developments

2014-05-21 Science
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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.

Canonical Gravity and Applications

2010-12-23 Science
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Release : 2010-12-23
Genre : Science
Kind : eBook
Book Rating : 139/5 ( reviews)

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Book Synopsis Canonical Gravity and Applications by : Martin Bojowald

Download or read book Canonical Gravity and Applications written by Martin Bojowald. This book was released on 2010-12-23. 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.

Quantum Gravity

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 016/5 ( reviews)

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Book Synopsis Quantum Gravity by : M. Markov

Download or read book Quantum Gravity written by M. Markov. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Three years have passed after the First Moscow Seminar on Quantum Gravity. It is a rather long time interval for the modern theoretical physics. The talks given at the present Second Seminar which took place in October 13-15, 1981 in Moscow contain the discussion of new results obtained during this period and the problems which arose. More than one hundred Soviet scientists and a number of the foreign guests attended this Seminar, which as the previous one was held by the Nuclear Physics Department of the Academy of Sciences of the USSR and the Institute for Nuclear Research of the Academy of Sciences of the USSR. The aim of the Seminar was to discuss the most important problems of the modern Quantum Gravity, namely: i) Quantum Gravity: the state of art; ii) Quantum effects in Cosmology; iii) Quantum black-hole physics; iv) the recent development in Supergravity and v) Quantum Gauge Theories. The Editorial Board expresses its sincere gratitude to all physicists who have contributed to these Proceedings for their cooperation with the Board in respect of time limitation, accurate and patient fulfilment of all tiresome requirements, set by the Board. The talks in the Proceedings are arranged in sections in accordance with their presentation at the Seminar.

Quantum Gravity And Cosmology - Proceedings Of The Xxii Gift International Seminar On Theoretical Physics

1992-08-14
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Release : 1992-08-14
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Kind : eBook
Book Rating : 436/5 ( reviews)

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Book Synopsis Quantum Gravity And Cosmology - Proceedings Of The Xxii Gift International Seminar On Theoretical Physics by : Emilio Elizalde

Download or read book Quantum Gravity And Cosmology - Proceedings Of The Xxii Gift International Seminar On Theoretical Physics written by Emilio Elizalde. This book was released on 1992-08-14. Available in PDF, EPUB and Kindle. Book excerpt: This year's GIFT Seminar reviewed some recent developments and new perspectives on Quantum Gravity and Quantum Cosmology. The topics treated at a graduate level include an Introduction to Quantum Gravity, Path Integral Measure, Non-Perturbative Canonical Formulation (Ashtekar's variable, loop space quantization). Topics on Quantum Cosmology include the Cosmological Constant Problem, Minisuperspace Models, Wormholes and Baby Universes, and Inflationary Cosmology.

Primordial Cosmology

2011 Science
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Release : 2011
Genre : Science
Kind : eBook
Book Rating : 004/5 ( reviews)

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Book Synopsis Primordial Cosmology by : Giovanni Montani

Download or read book Primordial Cosmology written by Giovanni Montani. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: Primordial Cosmology deals with one of the most puzzling and fascinating topics debated in modern physics - the nature of the Big Bang singularity. The authors provide a self-consistent and complete treatment of the very early Universe dynamics, passing through a concise discussion of the Standard Cosmological Model, a precise characterization of the role played by the theory of inflation, up to a detailed analysis of the anisotropic and inhomogeneous cosmological models. The most peculiar feature of this book is its uniqueness in treating advanced topics of quantum cosmology with a well-traced link to more canonical and pedagogical notions of fundamental cosmology. This book traces clearly the backward temporal evolution of the Universe, starting with the Robertsonndash;Walker geometry and ending with the recent results of loop quantum cosmology in view of the Big Bounce. The reader is accompanied in this journey by an initial technical presentation which, thanks to the fundamental tools given earlier in the book, never seems heavy or obscure.

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