Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization of lattice-regularized quantum gravity models I. General
  considerations   Lattice regularization is a standard technique for the nonperturbative
definition of a quantum theory of fields. Several approaches to the
construction of a quantum theory of gravity adopt this technique either
explicitly or implicitly. A crucial complement to lattice regularization is the
process of renormalization through which a continuous description of the
quantum theory arises. I provide a comprehensive conceptual discussion of the
renormalization of lattice-regularized quantum gravity models. I begin with a
presentation of the renormalization group from the Wilsonian perspective. I
then consider the application of the renormalization group in four contexts:
quantum field theory on a continuous nondynamical spacetime, quantum field
theory on a lattice-regularized nondynamical spacetime, quantum field theory of
continuous dynamical spacetime, and quantum field theory of lattice-regularized
dynamical spacetime. The first three contexts serve to identify successively
the particular issues that arise in the fourth context. These issues originate
in the inescability of establishing all scales solely on the basis of the
dynamics. While most of this discussion rehearses established knowledge, the
attention that I pay to these issues, especially the previously
underappreciated role of standard units of measure, is largely novel. I
conclude by briefly reviewing past studies of renormalization of
lattice-regularized quantum gravity models. In the second paper of this
two-part series, I illustrate the ideas presented here by proposing a
renormalization group scheme for causal dynamical triangulations.

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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: eess