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John86

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http://arxiv.org/abs/0911.4211

**Proper time is stochastic time in 2d quantum gravity**

Authors: J. Ambjorn, R. Loll, Y. Watabiki, W. Westra, S. Zohren

(Submitted on 21 Nov 2009)

Abstract: 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).

http://arxiv.org/abs/0911.4208

**New aspects of two-dimensional quantum gravity**

Authors: J. Ambjorn, R. Loll, Y. Watabiki, W. Westra, S. Zohren

(Submitted on 21 Nov 2009)

Abstract: Causal dynamical triangulations (CDT) can be used as a regularization of quantum gravity. In two dimensions the theory can be solved anlytically, even before the cut-off is removed and one can study in detail how to take the continuum limit. We show how the CDT theory is related to Euclidean 2d quantum gravity (Liouville quantum gravity), how it can be generalized and how this generalized CDT model has a string field theory representation as well as a matrix model representationof a new kind, and finally how it examplifies the possibility that time in quantum gravity might be the stochastic time related to the branching of space into baby universes.