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

M. Carfora·M. Martellini·A. Marzuoli
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Abstract

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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M. Carfora, M. Martellini, A. Marzuoli. 1992-03-19. Combinatorial and topological phase structure of non-perturbative n-dimensional quantum gravity. https://doi.org/10.1142/s0217979292001055

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