Tuesday, May 15, 2012

1109.4688 (Tim Koslowski et al.)

Loop Quantum Gravity Vacuum with Nondegenerate Geometry    [PDF]

Tim Koslowski, Hanno Sahlmann
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.
View original: http://arxiv.org/abs/1109.4688

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