Introduction to Loop Quantum Gravity
by Simone Mercuri
Publisher: arXiv 2010
Number of pages: 91
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.
Home page url
Download or read it online for free here:
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 Gerald Kaiser - University of Massachusetts at Lowell
A new synthesis of the principles of quantum mechanics and Relativity is proposed in the context of complex differential geometry. The positivity of the energy implies that wave functions and fields can be extended to complex spacetime.
by Thomas Thiemann - arXiv
This is an introduction to canonical quantum general relativity, an attempt to define a mathematically rigorous, non-perturbative, background independent theory of Lorentzian quantum gravity in four spacetime dimensions in the continuum.
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.