Spectral dimension in graph models of causal quantum gravity

Understand

The phenomenon of scale dependent spectral dimension has attracted special interest in the quantum gravity community over the last eight years.

• It was first observed in computer simulations of the causal dynamical triangulation (CDT) approach to quantum gravity and refers to the reduction of the spectral dimension from 4 at classical scales to 2 at short distances.
• Thereafter several authors confirmed a similar result from different approaches to quantum gravity.
• Despite the contribution from different approaches, no analytical model was proposed to explain the numerical results as the continuum limit of CDT.