1995/03/31 by Carlo Rovelli
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical field theory #Cosmology and Gravitation Theories #Covariant transformation #General relativity #Group field theory #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantization (signal processing) #Quantum #Quantum field theory #Quantum gravity #Quantum mechanics #Relationship between string theory and quantum field theory #Scalar field theory #Theoretical physics #Thermal quantum field theory #gr-qc
paper · pdf · doi:10.1063/1.531255
published as J.Math.Phys.36:6529-6547,1995 · Latex file, 33 pages
arxiv created 1995/04/01 · openalex publication_date 1995/11/01 · arxiv updated 2010/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study a tentative generally covariant quantum field theory, denoted the T theory, as a tool to investigate the consistency of quantum general relativity. The theory describes the gravitational field and a minimally coupled scalar field; it is based on the loop representation, and on a certain number of quantization choices. Four-dimensional diffeomorphism-invariant quantum transition probabilities can be computed from the theory. We discuss the choices on which the T theory relies, and the possibilities of modifying them.