Journal article
(Original article)

Loop quantum gravity vacuum with nondegenerate geometry

Publication Details
Author(s): Koslowski T., Sahlmann H.
Publisher: National Academy of Science of Ukraine
Publication year: 2012
Volume: 8
ISSN: 1815-0659


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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