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Trees and spatial topology change in causal dynamical triangulations
2013
Journal of Physics A: Mathematical and Theoretical
Generalized causal dynamical triangulations (generalized CDT) is a model of two-dimensional quantum gravity in which a limited number of spatial topology changes is allowed to occur. We solve the model at the discretized level using bijections between quadrangulations and trees. In the continuum limit (scaling limit) the amplitudes are shown to agree with known formulas and explicit expressions are obtained for loop propagators and two-point functions. It is shown that from a combinatorial
doi:10.1088/1751-8113/46/31/315201
fatcat:f7ogffsac5cyrjuitmpy55eea4