  We construct a 2-dimensional Causal Dynamical Triangulation (CDT) model from
a matrix model which represents the loop gas model of closed string. The
target-space index is reinterpreted as time or geodesic distance. We apply
stochastic quantization method to the model to obtain the Generalized CDT
(GCDT), which has additional interaction of creating baby universe. If we take
a specific scaling in continuum limit, we realize an extended GCDT model
characterized by the non-critical string field theory.
