Flowing to the continuum in discrete tensor models for quantum gravity

Understand

Tensor models provide a way to access the path-integral for discretized quantum gravity in d dimensions.

• As in the case of matrix models for two-dimensional quantum gravity, the continuum limit can be related to a Renormalization Group fixed point in a setup where the tensor size N serves as the Renormalization Group scale.
• We develop functional Renormalization Group tools for tensor models with a main focus on a rank-3 model for three-dimensional quantum gravity.
• We rediscover the double-scaling limit and provide an estimate for the scaling exponent.