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3 Loop Quantum Gravity

Since many reviews of full loop quantum gravity [25429323Jump To The Next Citation Point256242], as well as shorter accounts [910255284248296], are already available, we describe here only those properties that will later on be essential. Nevertheless, this review is mostly self-contained; our notation is closest to that in [23]. A recent bibliography can be found in [137].

 3.1 Geometry
 3.2 Ashtekar variables
 3.3 Representation
 3.4 Function spaces
 3.5 Composite operators
 3.6 Hamiltonian constraint
 3.7 Relational dynamics
 3.8 Open issues

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