Quantum Einstein Gravity
by Martin Reuter, Frank Saueressig
Publisher: arXiv 2012
Number of pages: 87
We give a pedagogical introduction to the basic ideas and concepts of the Asymptotic Safety program in Quantum Einstein Gravity. Using the continuum approach based upon the effective average action, we summarize the state of the art of the field with a particular focus on the evidence supporting the existence of the non-trivial renormalization group fixed point at the heart of the construction.
Home page url
Download or read it online for free here:
by Norbert Bodendorfer - arXiv
An introduction to loop quantum gravity is given, focussing on the fundamental aspects of the theory, different approaches to the dynamics, as well as possible future directions. It is structured in five lectures, including exercises.
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 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 Alejandro Perez - arXiv
In this article we review the present status of the spin foam formulation of non-perturbative quantum gravity. In the first part we present a general introduction to the main ideas emphasizing their motivations from various perspectives.