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This article is cited in 34 scientific papers (total in 34 papers)
Loop quantum gravity vacuum with nondegenerate geometry
Tim Koslowskia, Hanno Sahlmannb a Perimeter Institute for Theoretical Physics, Waterloo, Canada
b APCTP, and Physics Department of POSTECH University, Pohang, Korea
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:
loop quantum gravity, representations, geometric condensate.
Received: September 23, 2011; in final form May 3, 2012; Published online May 12, 2012
Citation:
Tim Koslowski, Hanno Sahlmann, “Loop quantum gravity vacuum with nondegenerate geometry”, SIGMA, 8 (2012), 026, 15 pp.
Linking options:
https://www.mathnet.ru/eng/sigma703 https://www.mathnet.ru/eng/sigma/v8/p26
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