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Loop Quantum Gravity Vacuum with Nondegenerate Geometry

Vernadsky National Library of Ukraine

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Title Loop Quantum Gravity Vacuum with Nondegenerate Geometry
 
Creator Koslowski, T.
Sahlmann, H.
 
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.
 
Date 2019-02-18T12:11:02Z
2019-02-18T12:11:02Z
2012
 
Type Article
 
Identifier 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
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України