It often appears in the literature that the full quantum gravity theories are plagued by the quantum field theory problems, specially non-renormalization. And they also state that in the context of quantum cosmological models in minisuperspace setting this problem of non-renormalization can be avoided. Is there intuitive or mathematical reasoning for realising as to how these minisuperspace models are renormalizable?

By a minisuperspace model, I mean where all but a finite number of degrees of freedom are frozen.

I have seen this arguments in two different works

  1. https://journals.aps.org/prd/abstract/10.1103/PhysRevD.40.2598
    Time and the interpretation of canonical quantum gravity
    William G. Unruh and Robert M. Wald
  2. https://arxiv.org/abs/gr-qc/9210011
    Canonical Quantum Gravity and the Problem of Time
    Chris J. Isham

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