Three-Dimensional Simplicial Gravity and Degenerate Triangulations

Details Three-Dimensional Simplicial Gravity and Degenerate Triangulations Three-Dimensional Simplicial Gravity and Degenerate Triangulations

1998-07-11

arxiv.org/abs/hep-lat/9807026v1

Nucl.Phys. B538 (1999) 278-294

Physics

High Energy Physics

High Energy Physics - Lattice

Latex, 19 pages, 10 eps-figure

Scientific paper

10.1016/S0550-3213(98)00679-8

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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