Oriti, Daniele Quantum gravity as a quantum field theory of simplicial geometry. (English) Zbl 1120.83024 Fauser, Bertfried (ed.) et al., Quantum gravity. Mathematical models and experimental bounds. Papers based on the presentations at the workshop ‘Mathematical and physical aspects of quantum gravity’, Blaubeuren, Germany, July 28th – August 1st, 2005. Basel: Birkhäuser (ISBN 3-7643-7977-4/hbk). 101-126 (2007). Summary: This is an introduction to the group field theory approach to quantum gravity, with emphasis on motivations and basic formalism, more than on recent results; we elaborate on the various ingredients, both conceptual and formal, of the approach, giving some examples, and we discuss some perspectives of future developments.For the entire collection see [Zbl 1106.83005]. Cited in 17 Documents MSC: 83C45 Quantization of the gravitational field 81T20 Quantum field theory on curved space or space-time backgrounds 81R99 Groups and algebras in quantum theory 81S99 General quantum mechanics and problems of quantization Keywords:group field theory; spin networks; spin foams; canonical quantum gravity; third quantization; simplicial geometries PDFBibTeX XMLCite \textit{D. Oriti}, in: Quantum gravity. Mathematical models and experimental bounds. Papers based on the presentations at the workshop `Mathematical and physical aspects of quantum gravity', Blaubeuren, Germany, July 28th -- August 1st, 2005. Basel: Birkhäuser. 101--126 (2007; Zbl 1120.83024) Full Text: arXiv