Combinatorial and topological phase structure of non-perturbative n-dimensional quantum gravity

Details Combinatorial and topological phase structure of non-perturbative n-dimensional quantum gravity Combinatorial and topological phase structure of non-perturbative n-dimensional quantum gravity

1992-03-19

arxiv.org/abs/hep-th/9203053v1

Int. J. Mod. Phys. B6 (1992) 2109-2122

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

We provide a non-perturbative geometrical characterization of the partition function of $n$-dimensional quantum gravity based on a coarse classification of riemannian geometries. We show that, under natural geometrical constraints, the theory admits a continuum limit with a non-trivial phase structure parametrized by the homotopy types of the class of manifolds considered. The results obtained qualitatively coincide, when specialized to dimension two, with those of two-dimensional quantum gravity models based on random triangulations of surfaces.

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