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Spin foam models and the Wheeler-DeWitt equation for the quantum 4-simplex

Spin foam models and the Wheeler-DeWitt equation for the quantum 4-simplex

The asymptotics of some spin foam amplitudes for a quantum 4-simplex is known to display rapid oscillations whose frequency is the Regge action. In this paper, we reformulate this result through a difference equation, asymptotically satisfied by these models, and whose semiclassical solutions are precisely the sine and the cosine …