3.8 Two-point functions3 Quantum Regge Calculus3.6 Evidence for a second-order

3.7 Avoiding collapse

Starting from the observation that Regge configurations exist with tex2html_wrap_inline2625 and tex2html_wrap_inline2627, Beirl et al [31Jump To The Next Citation Point In The Article, 32] investigated the influence of a cutoff f on the fatness of a simplex tex2html_wrap_inline2427, defined by

  equation471

Such a uniform shrinking of simplices is known to be necessary in order for piecewise flat manifolds to approach their continuum counterparts [82]. On the tex2html_wrap_inline2283 -lattice, with the l dl -measure and tex2html_wrap_inline2575, they determined tex2html_wrap_inline2639 for decreasing f . For small k, the choice of f seems to have only little influence, but towards the transition point tex2html_wrap_inline2547, tex2html_wrap_inline2649 simultaneously decreases. Next they investigated a variety of measures of the form tex2html_wrap_inline2651 (see also [35]). For tex2html_wrap_inline2653, only a mild tex2html_wrap_inline2427 -dependence of tex2html_wrap_inline2525 is observed as tex2html_wrap_inline2659 . However, for tex2html_wrap_inline2661, there are significant differences for the entire range of k, and some evidence that the geometry degenerates.



3.8 Two-point functions3 Quantum Regge Calculus3.6 Evidence for a second-order

image Discrete Approaches to Quantum Gravity in Four Dimensions
Renate Loll
http://www.livingreviews.org/lrr-1998-13
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