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 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.
by Alejandro Perez - arXiv
This article reviews the present status of the spin foam approach to the quantization of gravity. Special attention is payed to the pedagogical presentation of the recently introduced new models for four dimensional quantum gravity.
by Martin Bojowald - arXiv
An overview of the current status of singularities in classical and quantum gravity, starting with the classical singularity theorems. This suggests possible routes for quantum gravity to evade the devastating conclusion of the theorems ...
by Kristina Giesel, Hanno Sahlmann - arXiv
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.