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The following article is Open access

Causal random geometry from stochastic quantization

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Published under licence by IOP Publishing Ltd
, , Citation J Ambjørn et al 2010 J. Phys.: Conf. Ser. 246 012028 DOI 10.1088/1742-6596/246/1/012028

1742-6596/246/1/012028

Abstract

In this short note we review a recently found formulation of two-dimensional causal quantum gravity defined through Causal Dynamical Triangulations and stochastic quantization. This procedure enables one to extract the nonperturbative quantum Hamiltonian of the random surface model including the sum over topologies. Interestingly, the generally fictitious stochastic time corresponds to proper time on the geometries.

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10.1088/1742-6596/246/1/012028