Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-05-02
Phys.Rev. D73 (2006) 024023
Physics
High Energy Physics
High Energy Physics - Theory
v2: 9 pages, 3 figures, published version
Scientific paper
10.1103/PhysRevD.73.024023
The original models of causal dynamical triangulations construct space-time by arranging a set of simplices in layers separated by a fixed time-like distance. The importance of the foliation structure in the 2+1 dimensional model is studied by considering variations in which this property is relaxed. It turns out that the fixed-lapse condition can be equivalently replaced by a set of global constraints that have geometrical interpretation. On the other hand, the introduction of new types of simplices that puncture the foliating sheets in general leads to different low-energy behavior compared to the original model.
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