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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].

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
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