Geometric Operators in the Einstein–Hilbert Truncation

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 f...

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Main Authors:	Maximilian Becker, Carlo Pagani
Format:	Article
Language:	English
Published:	MDPI AG 2019-03-01
Series:	Universe
Subjects:	asymptotic safety geometric operators functional renormalization group
Online Access:	http://www.mdpi.com/2218-1997/5/3/75

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spelling	doaj-f043e172d3e44d6c9cfd3902b4d850362020-11-24T22:09:25ZengMDPI AGUniverse2218-19972019-03-01537510.3390/universe5030075universe5030075Geometric Operators in the Einstein–Hilbert TruncationMaximilian Becker0Carlo Pagani1Johannes Gutenberg University Mainz, Staudingerweg 7, D–55099 Mainz, GermanyJohannes Gutenberg University Mainz, Staudingerweg 7, D–55099 Mainz, GermanyWe 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.http://www.mdpi.com/2218-1997/5/3/75asymptotic safetygeometric operatorsfunctional renormalization group
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Maximilian Becker Carlo Pagani
spellingShingle	Maximilian Becker Carlo Pagani Geometric Operators in the Einstein–Hilbert Truncation Universe asymptotic safety geometric operators functional renormalization group
author_facet	Maximilian Becker Carlo Pagani
author_sort	Maximilian Becker
title	Geometric Operators in the Einstein–Hilbert Truncation
title_short	Geometric Operators in the Einstein–Hilbert Truncation
title_full	Geometric Operators in the Einstein–Hilbert Truncation
title_fullStr	Geometric Operators in the Einstein–Hilbert Truncation
title_full_unstemmed	Geometric Operators in the Einstein–Hilbert Truncation
title_sort	geometric operators in the einstein–hilbert truncation
publisher	MDPI AG
series	Universe
issn	2218-1997
publishDate	2019-03-01
description	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.
topic	asymptotic safety geometric operators functional renormalization group
url	http://www.mdpi.com/2218-1997/5/3/75
work_keys_str_mv	AT maximilianbecker geometricoperatorsintheeinsteinhilberttruncation AT carlopagani geometricoperatorsintheeinsteinhilberttruncation
_version_	1725811865126174720

Geometric Operators in the Einstein–Hilbert Truncation

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