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Geometric Operators in the Einstein–Hilbert Truncation

by Maximilian Becker and Carlo Pagani *,†
Johannes Gutenberg University Mainz, Staudingerweg 7, D–55099 Mainz, Germany
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Universe 2019, 5(3), 75;
Received: 14 February 2019 / Revised: 4 March 2019 / Accepted: 5 March 2019 / Published: 11 March 2019
We review the study of the scaling properties of geometric operators, such as the geodesic length and the volume of hypersurfaces, in the context of the Asymptotic Safety scenario for quantum gravity. We discuss the use of such operators and how they can be embedded in the effective average action formalism. We report the anomalous dimension of the geometric operators in the Einstein–Hilbert truncation via different approximations by considering simple extensions of previous studies. View Full-Text
Keywords: asymptotic safety; geometric operators; functional renormalization group asymptotic safety; geometric operators; functional renormalization group
MDPI and ACS Style

Becker, M.; Pagani, C. Geometric Operators in the Einstein–Hilbert Truncation. Universe 2019, 5, 75.

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