2015/06/30 by Jakub Bilski, Emanuele Alesci, Francesco Cianfrani · 1 citation
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Geometry #Hamiltonian (control theory) #Hořava–Lifshitz gravity #Immirzi parameter #Loop quantum cosmology #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantization (signal processing) #Quantum #Quantum dynamics #Quantum gravity #Quantum mechanics #Quantum process #Scalar (mathematics) #Scalar field #Semiclassical gravity #Spin foam #Theoretical physics #f(R) gravity #gr-qc
paper · pdf · doi:10.1103/physrevd.92.124029
published as Phys. Rev. D 92, 124029 (2015) · 14 pages, typos corrected
arxiv created 2015/07/02 · openalex publication_date 2015/12/15 · arxiv updated 2015/12/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The quantization of the Hamiltonian for a scalar field is performed in the framework of quantum reduced loop gravity. We outline how the regularization can be performed by using the analogous tools adopted in full loop quantum gravity, and the matrix elements of the resulting operator between basis states are analytic coefficients. These achievements open the way for a consistent analysis of the quantum gravity corrections to the classical dynamics of gravity in the presence of a scalar field in a cosmological setting.