Loop Quantum Gravity for the Bewildered The Self-Dual Approach Revisited

This second edition offers a comprehensive introduction to loop quantum gravity (LQG) in self-dual variables, including the necessary prerequisites. Additionally, it delves into various significant research areas that have emerged in recent years. New content (including an entirely new chapter dedic...

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Bibliographic Details
Main Author: Bilson-Thompson, Sundance
Format: eBook
Language:English
Published: Cham Springer International Publishing 2024, 2024
Edition:2nd ed. 2024
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Loop Quantum Gravity for the Bewildered  |h Elektronische Ressource  |b The Self-Dual Approach Revisited  |c by Sundance Bilson-Thompson 
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505 0 |a Introduction -- Classical GR -- Quantum Field Theory -- Expanding on classical GR -- First steps to a theory of Quantum Gravity -- Kinematical Hilbert Space -- Black Hole Entropy -- Discussion and recent developments -- Appendices: Conventions, Lie Derivative, ADM Variables, D Duality, Path Ordered Exponential, Peter-Weyl Theorem, Square-Free Numbers, Brahmagupta-Pell Equation, Quadratic Integers and the BP Equation, Kodama State, 3j-symbols, Regge Calculus 
653 |a Gravitation 
653 |a Mathematical Physics 
653 |a Mathematical physics 
653 |a Classical and Quantum Gravity 
653 |a Applications of Mathematics 
653 |a Mathematics 
653 |a Mathematical Methods in Physics 
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520 |a This second edition offers a comprehensive introduction to loop quantum gravity (LQG) in self-dual variables, including the necessary prerequisites. Additionally, it delves into various significant research areas that have emerged in recent years. New content (including an entirely new chapter dedicated to dynamics of quantum spacetime) explores the description of spin networks and spin-foams, their historical development as well as connections to tensor networks, BF theory, and emerging approaches including the spinorial representation of LQG, SU(2) coherent states, and group field theory. Furthermore, the book provides expanded appendices covering essential tools and concepts, such as the connection between information theory and entropy, and overviews of group theory and differential geometry. All topics are presented from a non-expert perspective, ensuring self-containment and accessibility. The primary aim of this second edition remains helping researchers, bewildered by the vast array of topics within this rapidly growing field of quantum gravity, to gain a fundamental understanding of the current developments