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On background-independent renormalization of spin foam models
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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.
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Perspectives on the dynamics in a loop quantum gravity effective description of black hole interiors
Two new effective Hamiltonians for the Kantowski-Sachs black hole interior are derived from loop quantum gravity regularization, and both resolve the singularity while differing from the standard polymer Hamiltonian.
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