2002/03/07 by Guillermo A. Mena Marugan, Guillermo A Mena Marug n · 12 citations
Mathematics · Physics and Astronomy · #Algorithm #Ambiguity #Black Holes and Theoretical Physics #Canonical quantization #Canonical quantum gravity #Classical mechanics #Computer science #Cosmology and Gravitation Theories #General relativity #Immirzi parameter #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantization (signal processing) #Quantum #Quantum gravity #Quantum mechanics #Theoretical physics #Wheeler–DeWitt equation #gr-qc
paper · pdf · doi:10.1088/0264-9381/19/8/104
published in Classical and Quantum Gravity 19(8), L63-L69 (IOP Publishing) · 7 pages, accepted for publication in Classical and Quantum Gravity
arxiv created 2002/03/07 · openalex publication_date 2002/04/03 · arxiv updated 2010/04/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The Ashtekar–Barbero formulation of general relativity admits a one-parameter family of canonical transformations that preserves the expressions of the Gauss and diffeomorphism constraints. The loop quantization of the connection formalism based on each of these canonical sets leads to different predictions. This phenomenon is called the Immirzi ambiguity. It has been recently argued that this ambiguity could be generalized to the extent of a spatially dependent function instead of a parameter. This would ruin the predictability of loop quantum gravity. We prove that such expectations are not realized, so that the Immirzi ambiguity introduces exclusively a freedom in the choice of a real number.