Learning about Quantum Gravity with a Couple of Nodes
Loop Quantum Gravity provides a natural truncation of the infinite degrees of freedom of gravity, obtained by studying the theory on a given finite graph. We review this procedure and we present the construction of the canonical theory on a simple graph, formed by only two nodes. We review the U(N)...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2012 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148405 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Learning about Quantum Gravity with a Couple of Nodes / E.F. Borja, I. Garay, F. Vidotto // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 109 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862702419901677568 |
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| author | Borja, E.F. Garay, I. Vidotto, F. |
| author_facet | Borja, E.F. Garay, I. Vidotto, F. |
| citation_txt | Learning about Quantum Gravity with a Couple of Nodes / E.F. Borja, I. Garay, F. Vidotto // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 109 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Loop Quantum Gravity provides a natural truncation of the infinite degrees of freedom of gravity, obtained by studying the theory on a given finite graph. We review this procedure and we present the construction of the canonical theory on a simple graph, formed by only two nodes. We review the U(N) framework, which provides a powerful tool for the canonical study of this model, and a formulation of the system based on spinors. We consider also the covariant theory, which permits to derive the model from a more complex formulation, paying special attention to the cosmological interpretation of the theory.
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| first_indexed | 2025-12-07T16:44:51Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-148405 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:44:51Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Borja, E.F. Garay, I. Vidotto, F. 2019-02-18T11:41:45Z 2019-02-18T11:41:45Z 2012 Learning about Quantum Gravity with a Couple of Nodes / E.F. Borja, I. Garay, F. Vidotto // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 109 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 83C27; 83C45; 83C60; 83F05 DOI: http://dx.doi.org/10.3842/SIGMA.2012.015 https://nasplib.isofts.kiev.ua/handle/123456789/148405 Loop Quantum Gravity provides a natural truncation of the infinite degrees of freedom of gravity, obtained by studying the theory on a given finite graph. We review this procedure and we present the construction of the canonical theory on a simple graph, formed by only two nodes. We review the U(N) framework, which provides a powerful tool for the canonical study of this model, and a formulation of the system based on spinors. We consider also the covariant theory, which permits to derive the model from a more complex formulation, paying special attention to the cosmological interpretation of the theory. 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.
 This work was in part supported by the Spanish MICINN research grants FIS2008-01980 and FIS2009-11893. IG is supported by the Department of Education of the Basque Government under the “Formaci´on de Investigadores” program. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Learning about Quantum Gravity with a Couple of Nodes Article published earlier |
| spellingShingle | Learning about Quantum Gravity with a Couple of Nodes Borja, E.F. Garay, I. Vidotto, F. |
| title | Learning about Quantum Gravity with a Couple of Nodes |
| title_full | Learning about Quantum Gravity with a Couple of Nodes |
| title_fullStr | Learning about Quantum Gravity with a Couple of Nodes |
| title_full_unstemmed | Learning about Quantum Gravity with a Couple of Nodes |
| title_short | Learning about Quantum Gravity with a Couple of Nodes |
| title_sort | learning about quantum gravity with a couple of nodes |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148405 |
| work_keys_str_mv | AT borjaef learningaboutquantumgravitywithacoupleofnodes AT garayi learningaboutquantumgravitywithacoupleofnodes AT vidottof learningaboutquantumgravitywithacoupleofnodes |