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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| Дата: | 2012 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2012
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148420 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1484202019-02-19T01:30:55Z Loop Quantum Gravity Vacuum with Nondegenerate Geometry Koslowski, T. Sahlmann, H. 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. 2012 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/148420 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 |
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. |
| format |
Article |
| author |
Koslowski, T. Sahlmann, H. |
| spellingShingle |
Koslowski, T. Sahlmann, H. Loop Quantum Gravity Vacuum with Nondegenerate Geometry Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Koslowski, T. Sahlmann, H. |
| author_sort |
Koslowski, T. |
| title |
Loop Quantum Gravity Vacuum with Nondegenerate Geometry |
| title_short |
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_sort |
loop quantum gravity vacuum with nondegenerate geometry |
| publisher |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148420 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT koslowskit loopquantumgravityvacuumwithnondegenerategeometry AT sahlmannh loopquantumgravityvacuumwithnondegenerategeometry |
| first_indexed |
2023-05-20T17:30:39Z |
| last_indexed |
2023-05-20T17:30:39Z |
| _version_ |
1796153455828533248 |