On background-independent renormalization of spin foam models

Understand

In this article we discuss an implementation of renormalization group ideas to spin foam models, where there is no a priori length scale with which to define the flow.

• In the context of the continuum limit of these models, we show how the notion of cylindrical consistency of path integral measures gives a natural analogue of Wilson's RG flow equations for background-independent systems.
• We discuss the conditions for the continuum measures to be diffeomorphism-invariant, and consider both exact and approximate examples.