From Classical To Quantum Gravity: Introduction to Loop Quantum Gravity
by Kristina Giesel, Hanno Sahlmann
Publisher: arXiv 2012
Number of pages: 55
We present an introduction to the canonical quantization of gravity performed in loop quantum gravity. A special feature of this introduction is the inclusion of new proposals for coupling matter to gravity that can be used to deparametrize the theory, thus making its dynamics more tractable.
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by B. Booss-Bavnbek, G. Esposito, M. Lesch - Springer
The division of the book in two (overlapping) parts reflects the duality between the physical vision and the mathematical construction. This book will benefit everyone working or entering the field of quantum gravity research.
by Norbert Bodendorfer - arXiv
An introduction to loop quantum gravity is given, focussing on the fundamental aspects of the theory, different approaches to the dynamics, as well as possible future directions. It is structured in five lectures, including exercises.
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We give a pedagogical introduction to the basic ideas and concepts of the Asymptotic Safety program in Quantum Einstein Gravity. Using the continuum approach based upon the effective average action, we summarize the state of the art of the field.
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After a description of some general arguments and an introduction to the canonical theory of gravity, the author reviews the background independent approach to quantum gravity, giving only a brief survey of Loop Quantum Gravity.