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2014

The spectral dimension in 2D CDT gravity coupled to scalar fields

Ambjørn, Jan, Görlich, Andrzej, Jurkiewicz, Jerzy et al.

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Causal Dynamical Triangulations (CDT) provide a non-perturbative formulation of Quantum Gravity assuming the existence of a global time foliation.

In our earlier study we analyzed the effect of including $d$ copies of a massless scalar field in the two-dimensional CDT model with imaginary time.
For $d > 1$ we observed the formation of a "blob", somewhat similar to that observed in four-dimensional CDT without matter.
In the two-dimensional case the "blob" has a Hausdorff dimension $D_H=3$.

The spectral dimension in 2D CDT gravity coupled to scalar fields · Around

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