Simple Spin Networks as Feynman Graphs

Laurent Freidel; Kirill Krasnov

doi:10.1063/1.533203

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arXiv · hep-th/9903192

Simple Spin Networks as Feynman Graphs

Laurent Freidel·Kirill Krasnov

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Abstract

We show how spin networks can be described and evaluated as Feynman integrals over an internal space. This description can, in particular, be applied to the so-called simple SO(D) spin networks that are of importance for higher-dimensional generalizations of loop quantum gravity. As an illustration of the power of the new formalism, we use it to obtain the asymptotics of an amplitude for the D-simplex and show that its oscillatory part is given by the Regge action.

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Laurent Freidel, Kirill Krasnov. 1999-06-17. Simple Spin Networks as Feynman Graphs. https://doi.org/10.1063/1.533203

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