Loop quantum gravity vacuum with nondegenerate geometry

Sahlmann H (2012)


Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2012

Journal

Publisher: National Academy of Science of Ukraine

Book Volume: 8

Article Number: 026

DOI: 10.3842/SIGMA.2012.026

Abstract

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.

Authors with CRIS profile

How to cite

APA:

Sahlmann, H. (2012). Loop quantum gravity vacuum with nondegenerate geometry. Symmetry Integrability and Geometry-Methods and Applications, 8. https://dx.doi.org/10.3842/SIGMA.2012.026

MLA:

Sahlmann, Hanno. "Loop quantum gravity vacuum with nondegenerate geometry." Symmetry Integrability and Geometry-Methods and Applications 8 (2012).

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