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 SIGMA, 2012, Volume 8, 026, 15 pages (Mi sigma703)

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.

DOI: https://doi.org/10.3842/SIGMA.2012.026

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Full text: http://emis.mi.ras.ru/.../026
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ArXiv: 1109.4688
MSC: 83C45, 81R15, 46L30, 28C20
Received: September 23, 2011; in final form May 3, 2012; Published online May 12, 2012
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Citation: Tim Koslowski, Hanno Sahlmann, “Loop quantum gravity vacuum with nondegenerate geometry”, SIGMA, 8 (2012), 026, 15 pp.

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