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Loop Quantum Gravity Vacuum with Nondegenerate Geometry
Репозиторій DSpace/Manakin
- Домашня сторінка
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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Loop Quantum Gravity Vacuum with Nondegenerate Geometry
Інший ID:
2010 Mathematics Subject Classification: 83C45; 81R15; 46L30; 28C20
DOI: http://dx.doi.org/10.3842/SIGMA.2012.026
DOI: http://dx.doi.org/10.3842/SIGMA.2012.026
Посилання:
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.
Підтримка:
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.
Дата:
2012
Переглядів:
307
Завантажень:
204
Анотація:
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.
