Three-dimensional simplicial gravity and degenerate triangulations. (English) Zbl 0940.83005
Summary: The author defines a model of three-dimensional simplicial gravity using an extended ensemble of triangulations where, in addition to the usual combinatorial triangulations, he allows degenerate triangulations, i.e. triangulations with distinct simplices defined by the same set of vertices. He demonstrates, using numerical simulations, that allowing for this type of degeneracy substantially reduces the geometric finite-size effects, especially in the crumpled phase of the model; in other respects the phase structure of the model is not affected.
MSC:
| 83C27 | Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory |
References:
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