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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-03-01
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| Series: | Universe |
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| Online Access: | http://www.mdpi.com/2218-1997/5/3/75 |
| _version_ | 1811301416839413760 |
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| author | Maximilian Becker Carlo Pagani |
| author_facet | Maximilian Becker Carlo Pagani |
| author_sort | Maximilian Becker |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-13T07:08:25Z |
| format | Article |
| id | doaj.art-f043e172d3e44d6c9cfd3902b4d85036 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-04-13T07:08:25Z |
| publishDate | 2019-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-f043e172d3e44d6c9cfd3902b4d850362022-12-22T02:56:56ZengMDPI 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 |
| spellingShingle | Maximilian Becker Carlo Pagani Geometric Operators in the Einstein–Hilbert Truncation Universe asymptotic safety geometric operators functional renormalization group |
| title | 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_short | Geometric Operators in the Einstein–Hilbert Truncation |
| title_sort | geometric operators in the einstein hilbert truncation |
| 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 |