2014/07/31 by Gianluca Calcagni · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Group field theory #Holonomy #Isotropy #Loop quantum cosmology #Loop quantum gravity #Mathematical physics #Mathematics #Minisuperspace #Noncommutative and Quantum Gravity Theories #Physics #Quantization (signal processing) #Quantum #Quantum cosmology #Quantum gravity #Quantum mechanics #Spin foam #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.90.064047
published as Phys. Rev. D 90, 064047 (2014) · 5 pages. v2: typos corrected, eprint number of Ref. [14] added; v3: results with interactions included
openalex publication_date 2014/09/24 · arxiv created 2014/09/27 · arxiv updated 2014/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that the effective dynamics of the recently proposed isotropic condensate state of group field theory with Laplacian kinetic operator can be equivalent to that of homogeneous and isotropic loop quantum cosmology in the improved dynamics quantization scheme, where the area of elementary holonomy plaquettes is constant. This constitutes a somewhat surprising example of a cosmological model of quantum gravity where the operations of minisuperspace symmetry reduction and quantization can actually commute.