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arXiv · hep-lat/9807026

Three-Dimensional Simplicial Gravity and Degenerate Triangulations

Gudmar Thorleifsson
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Abstract

I define a model of three-dimensional simplicial gravity using an extended ensemble of triangulations where, in addition to the usual combinatorial triangulations, I allow degenerate triangulations, i.e. triangulations with distinct simplexes defined by the same set of vertexes. I demonstrate, using numerical simulations, that allowing this type of degeneracy substantially reduces the geometric finite-size effects, especially in the crumpled phase of the model, in other respect the phase structure of the model is not affected.

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Gudmar Thorleifsson. 1998-07-11. Three-Dimensional Simplicial Gravity and Degenerate Triangulations. https://doi.org/10.1016/s0550-3213(98)00679-8

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