Loop quantum gravity vacuum with nondegenerate geometry

Details Loop quantum gravity vacuum with nondegenerate geometry Loop quantum gravity vacuum with nondegenerate geometry

2011-09-22

arxiv.org/abs/1109.4688v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages; prepared for special issue "Loop Quantum Gravity and Cosmology" of the journal SIGMA

Scientific paper

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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