2.4 Other gauge formulations2 Gauge-theoretic discretizations of gravity2.2 Smolin's lattice model

2.3 Numerical implementation

Caracciolo and Pelissetto [63, 64, 65, 66, 67Jump To The Next Citation Point In The Article] performed a numerical investigation of the phase structure of Smolin's model. Using the compact group SO (5) and its associated Haar measure, their findings confirmed the two-phase structure: a strong-coupling phase with a confining property and presence of exponential clustering, and a weak-coupling phase dominated by a class of topological configurations, with vanishing vierbein. However, their Monte Carlo data (on tex2html_wrap_inline2283 and tex2html_wrap_inline2285 -lattices with periodic boundary conditions) indicated strongly that the transition was first-order, even if the measure was generalized by a factor of tex2html_wrap_inline2287, tex2html_wrap_inline2289 [67].

2.4 Other gauge formulations2 Gauge-theoretic discretizations of gravity2.2 Smolin's lattice model

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