2006/07/19 by Benjamin Bahr, Thomas Thiemann · 1 citation
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Class (philosophy) #Constraint (computer-aided design) #Loop (graph theory) #Loop quantum cosmology #Loop quantum gravity #Noncommutative and Quantum Gravity Theories #Product (mathematics) #Quantum #Quantum Electrodynamics and Casimir Effect #Simple (philosophy) #gr-qc
paper · pdf · doi:10.1088/0264-9381/24/8/011
published as Class.Quant.Grav.24:2109-2138,2007 · 35 pages
arxiv created 2006/07/19 · openalex publication_date 2007/03/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we investigate the possibility of approximating the physical inner product of constrained quantum theories. In particular, we calculate the physical inner product of a simple cosmological model in two ways: firstly, we compute it analytically via a trick; secondly, we use the complexifier coherent states to approximate the physical inner product defined by the master constraint of the system. We find that the approximation is able to recover the analytic solution of the problem, which consolidates hopes that coherent states will help to approximate solutions of more complicated theories, like loop quantum gravity.