2007/11/15 by Bryce S. DeWitt, Giampiero Esposito · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1142/s0219887808002679
published as Int.J.Geom.Meth.Mod.Phys.5:101-156,2008 · 68 pages, Latex file. Sections from 2 to 17 are published thanks to kind permission of Springer
arxiv created 2007/11/15 · openalex publication_date 2008/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
After an overview of the physical motivations for studying quantum gravity, we reprint THE FORMAL STRUCTURE OF QUANTUM GRAVITY, i.e. the 1978 Cargèse Lectures in Levy & Deser (1979): Recent Developments in Gravitation pp. 275–322 by Professor B. S. DeWitt, with kind permission of Springer Science and Business Media. The reader is therefore introduced, in a pedagogical way, to the functional integral quantization of gravitation and Yang–Mills theory. It is hoped that such a paper will remain useful for all lecturers or Ph.D. students who face the task of introducing (resp. learning) some basic concepts in quantum gravity in a relatively short time. In the second part, we outline selected topics such as the braneworld picture with the same covariant formalism of the first part, and spectral asymptotics of Euclidean quantum gravity with diffeomorphism-invariant boundary conditions. The latter might have implications for singularity avoidance in quantum cosmology.