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WS18/19 – Abstract
Hanno Sahlmann
(Friedrich-Alexander-Universität Erlangen)
17.1.2019
From graphs and groups to metrics and black holes - an introduction to loop quantum gravity
Loop quantum gravity is a specific approach to the quantisation of general relativity. Its characteristic features are that it starts from variables with a gauge theoretic flavour, and that it does not use a classical background spacetime for the construction of the quantum theory. There is a formulation of loop quantum gravity using a discretized path integral, and one based on canonical quantisation. I will review the basic ideas of both formulations, and their relation. I will then describe some of the successes of the approach, such as an account for black hole entropy, and singularity resolution in quantum cosmology. Throughout the talk, I will also point out the parts of the theory that are still incomplete.
