Functional Renormalization Group Equations, Asymptotic Safety, and Quantum Einstein Gravity

Details Functional Renormalization Group Equations, Asymptotic Safety, and Quantum Einstein Gravity Functional Renormalization Group Equations, Asymptotic Safety, and Quantum Einstein Gravity

2007-08-09

arxiv.org/abs/0708.1317v1

Physics

High Energy Physics

High Energy Physics - Theory

Based on lectures given by M.R. at the ``First Quantum Geometry and Quantum Gravity School'', Zakopane, Poland, March 2007, an

Scientific paper

These lecture notes provide a pedagogical introduction to a specific continuum implementation of the Wilsonian renormalization group, the effective average action. Its general properties and, in particular, its functional renormalization group equation are explained in a simple scalar setting. The approach is then applied to Quantum Einstein Gravity (QEG). The possibility of constructing a fundamental theory of quantum gravity in the framework of Asymptotic Safety is discussed and the supporting evidence is summarized.

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