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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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.
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