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Spin networks in quantum gravity. (English) Zbl 1104.81072

Summary: This is a review of one of the approaches to unify quantum mechanics and the theory of general relativity. Starting from the pioneer work of Regge and Penrose, other scientists have constructed state sum models, as Feymann path integrals, that are topological invariant on the triangulated Riemannian surfaces, and that become the Hilbert-Einstein action in the continuous limit.

MSC:

81S40 Path integrals in quantum mechanics
83C47 Methods of quantum field theory in general relativity and gravitational theory
81-02 Research exposition (monographs, survey articles) pertaining to quantum theory
83-02 Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory
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