Loop Quantum Gravity Vacuum with Nondegenerate Geometry
General Relativity and Quantum Cosmology
2012-05-15 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1109.4688,
title = {Loop Quantum Gravity Vacuum with Nondegenerate Geometry},
author = {Tim Koslowski and Hanno Sahlmann},
journal= {arXiv preprint arXiv:1109.4688},
year = {2012}
}