Scale Transformations in Metric-Affine Geometry
This article presents an exhaustive classification of metric-affine theories according to their scale symmetries. First it is clarified that there are three relevant definitions of a scale transformation. These correspond to a projective transformation of the connection, a rescaling of the orthonorm...
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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/2218-1997/5/3/82 |
| _version_ | 1798039331299917824 |
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| author | Damianos Iosifidis Tomi Koivisto |
| author_facet | Damianos Iosifidis Tomi Koivisto |
| author_sort | Damianos Iosifidis |
| collection | DOAJ |
| description | This article presents an exhaustive classification of metric-affine theories according to their scale symmetries. First it is clarified that there are three relevant definitions of a scale transformation. These correspond to a projective transformation of the connection, a rescaling of the orthonormal frame, and a combination of the two. The most general second order quadratic metric-affine action, including the parity-violating terms, is constructed in each of the three cases. The results can be straightforwardly generalised by including higher derivatives, and implemented in the general metric-affine, teleparallel, and symmetric teleparallel geometries. |
| first_indexed | 2024-04-11T21:52:25Z |
| format | Article |
| id | doaj.art-b2b5ca663a034f3d8249deeddebba9be |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-04-11T21:52:25Z |
| publishDate | 2019-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-b2b5ca663a034f3d8249deeddebba9be2022-12-22T04:01:12ZengMDPI AGUniverse2218-19972019-03-01538210.3390/universe5030082universe5030082Scale Transformations in Metric-Affine GeometryDamianos Iosifidis0Tomi Koivisto1Institute of Theoretical Physics, Department of Physics, Aristotle University of Thessaloniki, 54124 Thessaloniki, GreeceNordita, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-10691 Stockholm, SwedenThis article presents an exhaustive classification of metric-affine theories according to their scale symmetries. First it is clarified that there are three relevant definitions of a scale transformation. These correspond to a projective transformation of the connection, a rescaling of the orthonormal frame, and a combination of the two. The most general second order quadratic metric-affine action, including the parity-violating terms, is constructed in each of the three cases. The results can be straightforwardly generalised by including higher derivatives, and implemented in the general metric-affine, teleparallel, and symmetric teleparallel geometries.http://www.mdpi.com/2218-1997/5/3/82scale invariancePalatini formalismmetric affine gauge theory of gravity |
| spellingShingle | Damianos Iosifidis Tomi Koivisto Scale Transformations in Metric-Affine Geometry Universe scale invariance Palatini formalism metric affine gauge theory of gravity |
| title | Scale Transformations in Metric-Affine Geometry |
| title_full | Scale Transformations in Metric-Affine Geometry |
| title_fullStr | Scale Transformations in Metric-Affine Geometry |
| title_full_unstemmed | Scale Transformations in Metric-Affine Geometry |
| title_short | Scale Transformations in Metric-Affine Geometry |
| title_sort | scale transformations in metric affine geometry |
| topic | scale invariance Palatini formalism metric affine gauge theory of gravity |
| url | http://www.mdpi.com/2218-1997/5/3/82 |
| work_keys_str_mv | AT damianosiosifidis scaletransformationsinmetricaffinegeometry AT tomikoivisto scaletransformationsinmetricaffinegeometry |