3.13 Gauge invariance in Regge 3 Quantum Regge Calculus3.11 Coupling to scalar matter

3.12 Recovering the Newtonian potential

Hamber and Williams [121] used an ansatz coming from a weak-field calculation for the amplitude of two gravitationally interacting particles separated by a fixed geodesic distance. They used the ldl -measure on a tex2html_wrap_inline2605 -lattice, with tex2html_wrap_inline2609 and a =0. The potential V (d) is extracted from the connected Wilson-line to Wilson-line correlator. >From data in tex2html_wrap_inline2817, and for sufficiently large k, one finds an attractive potential V (d)<0. They considered fits to various shapes of the potential V, in order to extract an effective Newton's constant. - They also suggested an effective action for tex2html_wrap_inline2525 depending on tex2html_wrap_inline2827 and a that shares some of the features observed in the simulations.

3.13 Gauge invariance in Regge 3 Quantum Regge Calculus3.11 Coupling to scalar matter

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