Loop Quantum Gravity Vacuum with Nondegenerate Geometry
In loop quantum gravity, states of the gravitational field turn out to be excitations over a vacuum state that is sharply peaked on a degenerate spatial geometry. While this vacuum is singled out as fundamental due to its invariance properties, it is also important to consider states that describe 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/123456789/148420 |
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| Cite this: | Loop Quantum Gravity Vacuum with Nondegenerate Geometry / T. Koslowski, H. Sahlmann // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 31 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862538107141750784 |
|---|---|
| author | Koslowski, T. Sahlmann, H. |
| author_facet | Koslowski, T. Sahlmann, H. |
| citation_txt | Loop Quantum Gravity Vacuum with Nondegenerate Geometry / T. Koslowski, H. Sahlmann // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 31 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In loop quantum gravity, states of the gravitational field turn out to be excitations over a vacuum state that is sharply peaked on a degenerate spatial geometry. While this vacuum is singled out as fundamental due to its invariance properties, it is also important to consider states that describe non-degenerate geometries. Such states have features of Bose condensate ground states. We discuss their construction for the Lie algebra as well as the Weyl algebra setting, and point out possible applications in effective field theory, Loop Quantum Cosmology, as well as further generalizations.
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| first_indexed | 2025-11-24T12:50:51Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-148420 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T12:50:51Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Koslowski, T. Sahlmann, H. 2019-02-18T12:11:02Z 2019-02-18T12:11:02Z 2012 Loop Quantum Gravity Vacuum with Nondegenerate Geometry / T. Koslowski, H. Sahlmann // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 31 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 83C45; 81R15; 46L30; 28C20 DOI: http://dx.doi.org/10.3842/SIGMA.2012.026 https://nasplib.isofts.kiev.ua/handle/123456789/148420 In loop quantum gravity, states of the gravitational field turn out to be excitations over a vacuum state that is sharply peaked on a degenerate spatial geometry. While this vacuum is singled out as fundamental due to its invariance properties, it is also important to consider states that describe non-degenerate geometries. Such states have features of Bose condensate ground states. We discuss their construction for the Lie algebra as well as the Weyl algebra setting, and point out possible applications in effective field theory, Loop Quantum Cosmology, as well as further generalizations. 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.
 HS gratefully acknowledges partial support through the Spanish MICINN Project No. FIS2008-06078-C03-03. Research at the Perimeter Institute is supported in part by the Government of Canada through NSERC and by the Province of Ontario through MEDT. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Loop Quantum Gravity Vacuum with Nondegenerate Geometry Article published earlier |
| spellingShingle | Loop Quantum Gravity Vacuum with Nondegenerate Geometry Koslowski, T. Sahlmann, H. |
| title | Loop Quantum Gravity Vacuum with Nondegenerate Geometry |
| title_full | Loop Quantum Gravity Vacuum with Nondegenerate Geometry |
| title_fullStr | Loop Quantum Gravity Vacuum with Nondegenerate Geometry |
| title_full_unstemmed | Loop Quantum Gravity Vacuum with Nondegenerate Geometry |
| title_short | Loop Quantum Gravity Vacuum with Nondegenerate Geometry |
| title_sort | loop quantum gravity vacuum with nondegenerate geometry |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148420 |
| work_keys_str_mv | AT koslowskit loopquantumgravityvacuumwithnondegenerategeometry AT sahlmannh loopquantumgravityvacuumwithnondegenerategeometry |