The Self-Dual Approach Revisited Bilson-Thompson, Sundance. creator author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 2nd ed. 2024. monographic eng

electronic

electronic resource

access XV, 210 p. 39 illus., 6 illus. in color. online resource. 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. 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. by Sundance Bilson-Thompson. Gravitation Mathematical physics Mathematics Classical and Quantum Gravity Mathematical Physics Mathematical Methods in Physics Applications of Mathematics QC178 9783031434525 https://doi.org/10.1007/978-3-031-43452-5 https://doi.org/10.1007/978-3-031-43452-5 240227 20251030111447.0 978-3-031-43452-5