Robust Discretization Schemes…

Today, the following article came up on the arXivs:

• “Perfect discretization of reparametrization invariant path integrals” (arXiv:1101.4775 [gr-qc]).

This is all fine and dandy… but my question is: “How does this paper (above) compare to the following”:

• Discrete gauge theory: from lattices to TQFT,
• Discrete Differential Forms, Gauge Theory, and Regge Calculus (PDF).

That is, GR is naturally written in terms of [pseudo-]differential forms (aka tensor densities), so the methods described above should be very appropriate to attack the problem of discretizing the path integral in such a way as to retain its symmetries.

» Robert Oeckl (2005). DISCRETE GAUGE THEORY: From Lattices to TQFT World Scientific eBooks, 1-216 DOI: 10.1142/9781860947377

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