Discrete Gravity Models and Loop Quantum Gravity: a Short Review
We review the relation between Loop Quantum Gravity on a fixed graph and discrete models of gravity. We compare Regge and twisted geometries, and discuss discrete actions based on twisted geometries and on the discretization of the Plebanski action. We discuss the role of discrete geometries in the...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2012 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2012
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148392 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Discrete Gravity Models and Loop Quantum Gravity: a Short Review / M. Dupuis, J.P. Ryan, S. Speziale // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 123 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862697088451608576 |
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| author | Dupuis, M. Ryan, J.P. Speziale, S. |
| author_facet | Dupuis, M. Ryan, J.P. Speziale, S. |
| citation_txt | Discrete Gravity Models and Loop Quantum Gravity: a Short Review / M. Dupuis, J.P. Ryan, S. Speziale // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 123 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We review the relation between Loop Quantum Gravity on a fixed graph and discrete models of gravity. We compare Regge and twisted geometries, and discuss discrete actions based on twisted geometries and on the discretization of the Plebanski action. We discuss the role of discrete geometries in the spin foam formalism, with particular attention to the definition of the simplicity constraints.
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| first_indexed | 2025-12-07T16:29:09Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148392 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:29:09Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Dupuis, M. Ryan, J.P. Speziale, S. 2019-02-18T11:27:56Z 2019-02-18T11:27:56Z 2012 Discrete Gravity Models and Loop Quantum Gravity: a Short Review / M. Dupuis, J.P. Ryan, S. Speziale // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 123 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 83C27; 83C45 DOI: http://dx.doi.org/10.3842/SIGMA.2012.052 https://nasplib.isofts.kiev.ua/handle/123456789/148392 We review the relation between Loop Quantum Gravity on a fixed graph and discrete models of gravity. We compare Regge and twisted geometries, and discuss discrete actions based on twisted geometries and on the discretization of the Plebanski action. We discuss the role of discrete geometries in the spin foam formalism, with particular attention to the definition of the simplicity constraints. This paper is a contribution to the Special Issue “Loop Quantum Gravity and Cosmology”. The full collection is available at http://www.emis.de/journals/SIGMA/LQGC.html. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Discrete Gravity Models and Loop Quantum Gravity: a Short Review Article published earlier |
| spellingShingle | Discrete Gravity Models and Loop Quantum Gravity: a Short Review Dupuis, M. Ryan, J.P. Speziale, S. |
| title | Discrete Gravity Models and Loop Quantum Gravity: a Short Review |
| title_full | Discrete Gravity Models and Loop Quantum Gravity: a Short Review |
| title_fullStr | Discrete Gravity Models and Loop Quantum Gravity: a Short Review |
| title_full_unstemmed | Discrete Gravity Models and Loop Quantum Gravity: a Short Review |
| title_short | Discrete Gravity Models and Loop Quantum Gravity: a Short Review |
| title_sort | discrete gravity models and loop quantum gravity: a short review |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148392 |
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