2.3 Numerical implementation

Caracciolo and Pelissetto [6364656667Jump To The Next Citation Point] 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 44 and 84-lattices with periodic boundary conditions) indicated strongly that the transition was first-order, even if the measure was generalized by a factor of |det e|p, p ∈ [0, 150] [67].
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