Proper time is stochastic time in 2d quantum gravity

Research paper by J. Ambjorn, R. Loll, Y. Watabiki, W. Westra, S. Zohren

Indexed on: 21 Nov '09Published on: 21 Nov '09Published in: High Energy Physics - Theory


We show that proper time, when defined in the quantum theory of 2d gravity, becomes identical to the stochastic time associated with the stochastic quantization of space. This observation was first made by Kawai and collaborators in the context of 2d Euclidean quantum gravity, but the relation is even simpler and more transparent in he context of 2d gravity formulated in the framework of CDT (causal dynamical triangulations).