Simple Spin Networks as Feynman Graphs

Details Simple Spin Networks as Feynman Graphs Simple Spin Networks as Feynman Graphs

1999-03-22

arxiv.org/abs/hep-th/9903192v3

J.Math.Phys. 41 (2000) 1681-1690

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, no figures; few typos corrected

Scientific paper

10.1063/1.533203

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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