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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| Date: | 2012 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2012
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/148392 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| id |
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irk-123456789-1483922019-02-19T01:25:42Z Discrete Gravity Models and Loop Quantum Gravity: a Short Review Dupuis, M. Ryan, J.P. Speziale, S. 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. 2012 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/148392 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Dupuis, M. Ryan, J.P. Speziale, S. |
| spellingShingle |
Dupuis, M. Ryan, J.P. Speziale, S. Discrete Gravity Models and Loop Quantum Gravity: a Short Review Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Dupuis, M. Ryan, J.P. Speziale, S. |
| author_sort |
Dupuis, M. |
| title |
Discrete Gravity Models and Loop Quantum Gravity: a Short Review |
| title_short |
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_sort |
discrete gravity models and loop quantum gravity: a short review |
| publisher |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148392 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT dupuism discretegravitymodelsandloopquantumgravityashortreview AT ryanjp discretegravitymodelsandloopquantumgravityashortreview AT speziales discretegravitymodelsandloopquantumgravityashortreview |
| first_indexed |
2025-07-12T19:20:44Z |
| last_indexed |
2025-07-12T19:20:44Z |
| _version_ |
1837470104156110848 |