3.12 Recovering the Newtonian potential3 Quantum Regge Calculus3.10 Coupling to SU(2)-gauge fields

3.11 Coupling to scalar matter

The coupling of Regge gravity to scalar matter was investigated by Hamber and Williams [120, 116] for tex2html_wrap_inline2609, a =0.005, and various k -values. They considered a single, massive scalar field, with an action contribution

  equation548

where tex2html_wrap_inline2793, tex2html_wrap_inline2795 denote the 4-volumes associated with the vertices and edges. Most data were obtained on the tex2html_wrap_inline2283 -lattice, with the measure tex2html_wrap_inline2799 . The inclusion of the scalar field leads to a slight decrease in the average volume and edge length, as well as a very slight decrease in tex2html_wrap_inline2801 . They again performed a fit for tex2html_wrap_inline2525 according to (17Popup Equation) and found that the critical exponent and the location of tex2html_wrap_inline2547 were almost unchanged.



3.12 Recovering the Newtonian potential3 Quantum Regge Calculus3.10 Coupling to SU(2)-gauge fields

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