Introduction to Modern Canonical Quantum General Relativity
by Thomas Thiemann
Publisher: arXiv 2001
Number of pages: 303
This is an introduction to the research field of canonical quantum general relativity, sometimes called "loop quantum gravity". Canonical quantum general relativity is an attempt to define a mathematically rigorous, non-perturbative, background independent theory of Lorentzian quantum gravity in four spacetime dimensions in the continuum.
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by Arlen Anderson - arXiv
Quantum canonical transformations are defined algebraically. This generalizes the quantum canonical transformations to include non-unitary transformations. Their importance for constructing solutions of the Schroedinger equation is discussed.
by Rodrigo Sobreiro - InTech
This book presents a series of selected chapters written by renowned authors. Each chapter treats gravity and its quantization through known and alternative techniques, aiming a deeper understanding on the quantum nature of gravity.
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 Bryce S. DeWitt, Giampiero Esposito - arXiv
The reader is introduced to the functional integral quantization of gravitation and Yang-Mills theory. The text is useful for all Ph.D. students who face the task of learning some basic concepts in quantum gravity in a relatively short time.