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.
Home page url
Download or read it online for free here:
by Stephen Hawking, Roger Penrose - arXiv
Stephen Hawking and Roger Penrose put forward their related but rather different viewpoints on the nature of space and time. They discuss their different approaches. A basic knowledge of general relativity and quantum theory is assumed.
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 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 Simone Mercuri - arXiv
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.