2011/09/30 by Tim Koslowski, Hanno Sahlmann · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #math-ph #math.MP #msc:28C20 #msc:46L30 #msc:81R15 #msc:83C45
paper · pdf · doi:10.3842/sigma.2012.026
published as SIGMA 8 (2012), 026, 15 pages
arxiv created 2012/05/12 · openalex publication_date 2012/05/12 · arxiv updated 2012/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.